diff options
author | Rüdiger Timm <rt@openoffice.org> | 2008-07-11 06:41:11 +0000 |
---|---|---|
committer | Rüdiger Timm <rt@openoffice.org> | 2008-07-11 06:41:11 +0000 |
commit | 098071c8d45e00e408f9db400963077acf0bf540 (patch) | |
tree | 383772f4374f91e8bf1142b5ac5aa9e6a2207187 /testautomation/xml | |
parent | fd0afc829405c534f7caced4a2f256e4c49abfbe (diff) |
INTEGRATION: CWS autotestfixes01 (1.1.2); FILE ADDED
2008/07/04 17:07:57 jsi 1.1.2.1: #i91336#
Adding the modul xml to testautomation
Issue number:
Submitted by:
Reviewed by:
Diffstat (limited to 'testautomation/xml')
-rwxr-xr-x | testautomation/xml/optional/input/calc/ExcelXML/pagebreak.xml | 154 | ||||
-rwxr-xr-x | testautomation/xml/optional/input/calc/ExcelXML/pagesheet.xml | 140 | ||||
-rwxr-xr-x | testautomation/xml/optional/input/calc/ExcelXML/rowcolumn.xml | 88 | ||||
-rwxr-xr-x | testautomation/xml/optional/input/calc/ExcelXML/solvsamp.xml | 9881 | ||||
-rwxr-xr-x | testautomation/xml/optional/input/calc/ooo10/NatNumtest.sxc | bin | 0 -> 9548 bytes | |||
-rwxr-xr-x | testautomation/xml/optional/input/calc/ooo10/alien_attributes.sxc | bin | 0 -> 5782 bytes | |||
-rwxr-xr-x | testautomation/xml/optional/input/calc/ooo10/feat906.sxc | bin | 0 -> 7568 bytes | |||
-rwxr-xr-x | testautomation/xml/optional/input/calc/ooo10/japan.sxc | bin | 0 -> 9864 bytes |
8 files changed, 10263 insertions, 0 deletions
diff --git a/testautomation/xml/optional/input/calc/ExcelXML/pagebreak.xml b/testautomation/xml/optional/input/calc/ExcelXML/pagebreak.xml new file mode 100755 index 000000000000..44d9c9a6afb3 --- /dev/null +++ b/testautomation/xml/optional/input/calc/ExcelXML/pagebreak.xml @@ -0,0 +1,154 @@ +<?xml version="1.0"?> +<?mso-application progid="Excel.Sheet"?> +<Workbook xmlns="urn:schemas-microsoft-com:office:spreadsheet" + xmlns:o="urn:schemas-microsoft-com:office:office" + xmlns:x="urn:schemas-microsoft-com:office:excel" + xmlns:ss="urn:schemas-microsoft-com:office:spreadsheet" + xmlns:html="http://www.w3.org/TR/REC-html40"> + <DocumentProperties xmlns="urn:schemas-microsoft-com:office:office"> + <Author>Gavin Lu</Author> + <LastAuthor>Gavin Lu</LastAuthor> + <Created>2003-07-30T02:57:01Z</Created> + <Company>Sun China ERI</Company> + <Version>11.5329</Version> + </DocumentProperties> + <ExcelWorkbook xmlns="urn:schemas-microsoft-com:office:excel"> + <WindowHeight>9225</WindowHeight> + <WindowWidth>14940</WindowWidth> + <WindowTopX>240</WindowTopX> + <WindowTopY>105</WindowTopY> + <ProtectStructure>False</ProtectStructure> + <ProtectWindows>False</ProtectWindows> + </ExcelWorkbook> + <Styles> + <Style ss:ID="Default" ss:Name="Normal"> + <Alignment ss:Vertical="Center"/> + <Borders/> + <Font ss:FontName="宋体" x:CharSet="134" ss:Size="12"/> + <Interior/> + <NumberFormat/> + <Protection/> + </Style> + </Styles> + <Worksheet ss:Name="Sheet1"> + <Table ss:ExpandedColumnCount="8" ss:ExpandedRowCount="15" x:FullColumns="1" + x:FullRows="1" ss:DefaultColumnWidth="54" ss:DefaultRowHeight="14.25"> + <Column ss:Index="2" ss:AutoFitWidth="0" ss:Width="84" ss:Span="2"/> + <Column ss:Index="6" ss:AutoFitWidth="0" ss:Width="88.5"/> + <Column ss:Index="8" ss:AutoFitWidth="0" ss:Width="82.5"/> + <Row ss:AutoFitHeight="0"/> + <Row ss:AutoFitHeight="0" ss:Height="42.75"> + <Cell ss:Index="2"><Data ss:Type="String">Span=3</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="42.75" ss:Span="2"/> + <Row ss:Index="6" ss:AutoFitHeight="0" ss:Span="1"/> + <Row ss:Index="8" ss:AutoFitHeight="0" ss:Height="35.25"> + <Cell ss:Index="2"><Data ss:Type="String">Span=2</Data></Cell> + <Cell ss:Index="8"><Data ss:Type="String">last column tag</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="35.25" ss:Span="1"/> + <Row ss:Index="11" ss:AutoFitHeight="0"/> + <Row ss:AutoFitHeight="0" ss:Height="31.5"/> + <Row ss:AutoFitHeight="0"/> + <Row ss:AutoFitHeight="0" ss:Height="36.75"/> + <Row ss:AutoFitHeight="0" ss:Height="36.75"> + <Cell ss:Index="2"><Data ss:Type="String">last row tag</Data></Cell> + </Row> + </Table> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <Unsynced/> + <Print> + <ValidPrinterInfo/> + <PaperSizeIndex>9</PaperSizeIndex> + <HorizontalResolution>600</HorizontalResolution> + <VerticalResolution>600</VerticalResolution> + </Print> + <PageBreakZoom>60</PageBreakZoom> + <Selected/> + <TopRowVisible>4</TopRowVisible> + <Panes> + <Pane> + <Number>3</Number> + <ActiveRow>13</ActiveRow> + </Pane> + </Panes> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + <PageBreaks xmlns="urn:schemas-microsoft-com:office:excel"> + <ColBreaks> + <ColBreak> + <Column>1</Column> + </ColBreak> + <ColBreak> + <Column>2</Column> + </ColBreak> + <ColBreak> + <Column>3</Column> + </ColBreak> + <ColBreak> + <Column>4</Column> + </ColBreak> + <ColBreak> + <Column>5</Column> + </ColBreak> + <ColBreak> + <Column>6</Column> + </ColBreak> + <ColBreak> + <Column>7</Column> + </ColBreak> + <ColBreak> + <Column>8</Column> + </ColBreak> + <ColBreak> + <Column>11</Column> + </ColBreak> + <ColBreak> + <Column>14</Column> + </ColBreak> + </ColBreaks> + <RowBreaks> + <RowBreak> + <Row>1</Row> + </RowBreak> + <RowBreak> + <Row>2</Row> + </RowBreak> + <RowBreak> + <Row>6</Row> + </RowBreak> + <RowBreak> + <Row>9</Row> + </RowBreak> + <RowBreak> + <Row>15</Row> + </RowBreak> + <RowBreak> + <Row>17</Row> + </RowBreak> + <RowBreak> + <Row>20</Row> + </RowBreak> + </RowBreaks> + </PageBreaks> + </Worksheet> + <Worksheet ss:Name="Sheet2"> + <Table ss:ExpandedColumnCount="0" ss:ExpandedRowCount="0" x:FullColumns="1" + x:FullRows="1" ss:DefaultColumnWidth="54" ss:DefaultRowHeight="14.25"/> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <Unsynced/> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + </Worksheet> + <Worksheet ss:Name="Sheet3"> + <Table ss:ExpandedColumnCount="0" ss:ExpandedRowCount="0" x:FullColumns="1" + x:FullRows="1" ss:DefaultColumnWidth="54" ss:DefaultRowHeight="14.25"/> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <Unsynced/> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + </Worksheet> +</Workbook> diff --git a/testautomation/xml/optional/input/calc/ExcelXML/pagesheet.xml b/testautomation/xml/optional/input/calc/ExcelXML/pagesheet.xml new file mode 100755 index 000000000000..d078b3eddba1 --- /dev/null +++ b/testautomation/xml/optional/input/calc/ExcelXML/pagesheet.xml @@ -0,0 +1,140 @@ +<?xml version="1.0"?> +<?mso-application progid="Excel.Sheet"?> +<Workbook xmlns="urn:schemas-microsoft-com:office:spreadsheet" + xmlns:o="urn:schemas-microsoft-com:office:office" + xmlns:x="urn:schemas-microsoft-com:office:excel" + xmlns:ss="urn:schemas-microsoft-com:office:spreadsheet" + xmlns:html="http://www.w3.org/TR/REC-html40"> + <DocumentProperties xmlns="urn:schemas-microsoft-com:office:office"> + <Author>Gavin Lu</Author> + <LastAuthor>Gavin Lu</LastAuthor> + <Created>2003-07-07T03:39:48Z</Created> + <Company>Sun China Engineering & Research Institute</Company> + <Version>11.5329</Version> + </DocumentProperties> + <ExcelWorkbook xmlns="urn:schemas-microsoft-com:office:excel"> + <WindowHeight>9000</WindowHeight> + <WindowWidth>13860</WindowWidth> + <WindowTopX>240</WindowTopX> + <WindowTopY>75</WindowTopY> + <TabRatio>284</TabRatio> + <ProtectStructure>False</ProtectStructure> + <ProtectWindows>False</ProtectWindows> + </ExcelWorkbook> + <Styles> + <Style ss:ID="Default" ss:Name="Normal"> + <Alignment ss:Vertical="Center"/> + <Borders/> + <Font ss:FontName="宋体" x:CharSet="134" ss:Size="12"/> + <Interior/> + <NumberFormat/> + <Protection/> + </Style> + </Styles> + <Worksheet ss:Name="Sheet1"> + <Table ss:ExpandedColumnCount="8" ss:ExpandedRowCount="13" x:FullColumns="1" + x:FullRows="1" ss:DefaultColumnWidth="54" ss:DefaultRowHeight="14.25"> + <Row ss:AutoFitHeight="0" ss:Span="1"/> + <Row ss:Index="3" ss:AutoFitHeight="0"> + <Cell ss:Index="6"><Data ss:Type="String">page break after column E</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Span="1"/> + <Row ss:Index="6" ss:AutoFitHeight="0"> + <Cell ss:Index="4"><Data ss:Type="String">page break after row 6</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Span="1"/> + <Row ss:Index="9" ss:AutoFitHeight="0"> + <Cell ss:Index="8"><Data ss:Type="String">page break after column G</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Span="2"/> + <Row ss:Index="13" ss:AutoFitHeight="0"> + <Cell ss:Index="3"><Data ss:Type="String">page break after row 13</Data></Cell> + </Row> + </Table> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <Unsynced/> + <Print> + <ValidPrinterInfo/> + <PaperSizeIndex>9</PaperSizeIndex> + <HorizontalResolution>600</HorizontalResolution> + <VerticalResolution>600</VerticalResolution> + </Print> + <PageBreakZoom>60</PageBreakZoom> + <Selected/> + <TopRowVisible>1</TopRowVisible> + <LeftColumnVisible>1</LeftColumnVisible> + <SplitHorizontal>3270</SplitHorizontal> + <TopRowBottomPane>8</TopRowBottomPane> + <SplitVertical>11865</SplitVertical> + <LeftColumnRightPane>4</LeftColumnRightPane> + <ActivePane>2</ActivePane> + <Panes> + <Pane> + <Number>3</Number> + <ActiveRow>5</ActiveRow> + <ActiveCol>3</ActiveCol> + </Pane> + <Pane> + <Number>1</Number> + <ActiveCol>10</ActiveCol> + </Pane> + <Pane> + <Number>2</Number> + <ActiveRow>12</ActiveRow> + <ActiveCol>2</ActiveCol> + </Pane> + <Pane> + <Number>0</Number> + <ActiveCol>10</ActiveCol> + </Pane> + </Panes> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + <PageBreaks xmlns="urn:schemas-microsoft-com:office:excel"> + <ColBreaks> + <ColBreak> + <Column>5</Column> + </ColBreak> + <ColBreak> + <Column>7</Column> + </ColBreak> + </ColBreaks> + <RowBreaks> + <RowBreak> + <Row>6</Row> + </RowBreak> + <RowBreak> + <Row>13</Row> + </RowBreak> + </RowBreaks> + </PageBreaks> + </Worksheet> + <Worksheet ss:Name="hidden sheet"> + <Table ss:ExpandedColumnCount="1" ss:ExpandedRowCount="1" x:FullColumns="1" + x:FullRows="1" ss:DefaultColumnWidth="54" ss:DefaultRowHeight="14.25"> + <Row ss:AutoFitHeight="0"> + <Cell><Data ss:Type="String">hidden sheet</Data></Cell> + </Row> + </Table> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <Unsynced/> + <Visible>SheetHidden</Visible> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + </Worksheet> + <Worksheet ss:Name="Sheet3"> + <Table ss:ExpandedColumnCount="1" ss:ExpandedRowCount="1" x:FullColumns="1" + x:FullRows="1" ss:DefaultColumnWidth="54" ss:DefaultRowHeight="14.25"> + <Row ss:AutoFitHeight="0"> + <Cell><Data ss:Type="String">Sheet2 is renamed and hidden. It's actually called "hidden sheet". ;)</Data></Cell> + </Row> + </Table> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <Unsynced/> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + </Worksheet> +</Workbook> diff --git a/testautomation/xml/optional/input/calc/ExcelXML/rowcolumn.xml b/testautomation/xml/optional/input/calc/ExcelXML/rowcolumn.xml new file mode 100755 index 000000000000..e79c07233054 --- /dev/null +++ b/testautomation/xml/optional/input/calc/ExcelXML/rowcolumn.xml @@ -0,0 +1,88 @@ +<?xml version="1.0"?> +<?mso-application progid="Excel.Sheet"?> +<Workbook xmlns="urn:schemas-microsoft-com:office:spreadsheet" + xmlns:o="urn:schemas-microsoft-com:office:office" + xmlns:x="urn:schemas-microsoft-com:office:excel" + xmlns:ss="urn:schemas-microsoft-com:office:spreadsheet" + xmlns:html="http://www.w3.org/TR/REC-html40"> + <DocumentProperties xmlns="urn:schemas-microsoft-com:office:office"> + <Author>Gavin Lu</Author> + <LastAuthor>Gavin Lu</LastAuthor> + <Created>2003-07-07T03:20:50Z</Created> + <Company>Sun China Engineering & Research Institute</Company> + <Version>11.5329</Version> + </DocumentProperties> + <ExcelWorkbook xmlns="urn:schemas-microsoft-com:office:excel"> + <WindowHeight>9000</WindowHeight> + <WindowWidth>10620</WindowWidth> + <WindowTopX>240</WindowTopX> + <WindowTopY>75</WindowTopY> + <ProtectStructure>False</ProtectStructure> + <ProtectWindows>False</ProtectWindows> + </ExcelWorkbook> + <Styles> + <Style ss:ID="Default" ss:Name="Normal"> + <Alignment ss:Vertical="Center"/> + <Borders/> + <Font ss:FontName="宋体" x:CharSet="134" ss:Size="12"/> + <Interior/> + <NumberFormat/> + <Protection/> + </Style> + </Styles> + <Worksheet ss:Name="Sheet1"> + <Table ss:ExpandedColumnCount="12" ss:ExpandedRowCount="9" x:FullColumns="1" + x:FullRows="1" ss:DefaultColumnWidth="54" ss:DefaultRowHeight="14.25"> + <Column ss:Index="2" ss:AutoFitWidth="0" ss:Width="91.5"/> + <Column ss:Index="4" ss:AutoFitWidth="0" ss:Width="30.75"/> + <Column ss:AutoFitWidth="0" ss:Width="63.75"/> + <Column ss:Index="7" ss:Hidden="1" ss:AutoFitWidth="0" ss:Width="18"/> + <Column ss:Index="10" ss:AutoFitWidth="0" ss:Width="18.75"/> + <Column ss:Index="12" ss:Hidden="1" ss:AutoFitWidth="0"/> + <Row ss:AutoFitHeight="0"/> + <Row ss:AutoFitHeight="0" ss:Height="39"/> + <Row ss:AutoFitHeight="0" ss:Span="1"/> + <Row ss:Index="5" ss:AutoFitHeight="0" ss:Height="63.75"> + <Cell ss:Index="5"><Data ss:Type="String">cursor pos</Data><Comment + ss:Author="Gavin Lu"><ss:Data xmlns="http://www.w3.org/TR/REC-html40"><B><Font + html:Face="Tahoma" x:CharSet="134" x:Family="Swiss" html:Size="8" + html:Color="#000000">Gavin Lu: cursor position! :)</Font></B></ss:Data></Comment></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Hidden="1"/> + <Row ss:AutoFitHeight="0" ss:Height="9" ss:Hidden="1"/> + <Row ss:AutoFitHeight="0"/> + <Row ss:AutoFitHeight="0" ss:Height="170.25"/> + </Table> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <Unsynced/> + <Selected/> + <Panes> + <Pane> + <Number>3</Number> + <ActiveRow>4</ActiveRow> + <ActiveCol>4</ActiveCol> + </Pane> + </Panes> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + </Worksheet> + <Worksheet ss:Name="Sheet2"> + <Table ss:ExpandedColumnCount="0" ss:ExpandedRowCount="0" x:FullColumns="1" + x:FullRows="1" ss:DefaultColumnWidth="54" ss:DefaultRowHeight="14.25"/> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <Unsynced/> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + </Worksheet> + <Worksheet ss:Name="Sheet3"> + <Table ss:ExpandedColumnCount="0" ss:ExpandedRowCount="0" x:FullColumns="1" + x:FullRows="1" ss:DefaultColumnWidth="54" ss:DefaultRowHeight="14.25"/> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <Unsynced/> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + </Worksheet> +</Workbook> diff --git a/testautomation/xml/optional/input/calc/ExcelXML/solvsamp.xml b/testautomation/xml/optional/input/calc/ExcelXML/solvsamp.xml new file mode 100755 index 000000000000..b56b1e4d9411 --- /dev/null +++ b/testautomation/xml/optional/input/calc/ExcelXML/solvsamp.xml @@ -0,0 +1,9881 @@ +<?xml version="1.0"?> +<?mso-application progid="Excel.Sheet"?> +<Workbook xmlns="urn:schemas-microsoft-com:office:spreadsheet" + xmlns:o="urn:schemas-microsoft-com:office:office" + xmlns:x="urn:schemas-microsoft-com:office:excel" + xmlns:ss="urn:schemas-microsoft-com:office:spreadsheet" + xmlns:html="http://www.w3.org/TR/REC-html40"> + <DocumentProperties xmlns="urn:schemas-microsoft-com:office:office"> + <Title>Solver Samples</Title> + <Subject>subject1 subject2</Subject> + <Author>Microsoft Corp.</Author> + <Keywords>Sub one</Keywords> + <Description>Example models illustrating applications of Microsoft Excel's Solver.</Description> + <LastAuthor>Guang Gavin Lu</LastAuthor> + <Created>1996-10-03T21:59:12Z</Created> + <LastSaved>2003-05-11T13:21:13Z</LastSaved> + <Category>Category1</Category> + <Manager>Manager</Manager> + <Company>MS & Sun</Company> + <HyperlinkBase>http://www.sun.com</HyperlinkBase> + <Version>11.4920</Version> + </DocumentProperties> + <OfficeDocumentSettings xmlns="urn:schemas-microsoft-com:office:office"> + <Colors> + <Color> + <Index>16</Index> + <RGB>#8080FF</RGB> + </Color> + <Color> + <Index>17</Index> + <RGB>#802060</RGB> + </Color> + <Color> + <Index>18</Index> + <RGB>#FFFFC0</RGB> + </Color> + <Color> + <Index>19</Index> + <RGB>#A0E0E0</RGB> + </Color> + <Color> + <Index>20</Index> + <RGB>#600080</RGB> + </Color> + <Color> + <Index>22</Index> + <RGB>#0080C0</RGB> + </Color> + <Color> + <Index>23</Index> + <RGB>#C0C0FF</RGB> + </Color> + <Color> + <Index>33</Index> + <RGB>#69FFFF</RGB> + </Color> + <Color> + <Index>36</Index> + <RGB>#A6CAF0</RGB> + </Color> + <Color> + <Index>37</Index> + <RGB>#CC9CCC</RGB> + </Color> + <Color> + <Index>39</Index> + <RGB>#E3E3E3</RGB> + </Color> + <Color> + <Index>42</Index> + <RGB>#339933</RGB> + </Color> + <Color> + <Index>43</Index> + <RGB>#999933</RGB> + </Color> + <Color> + <Index>44</Index> + <RGB>#996633</RGB> + </Color> + <Color> + <Index>45</Index> + <RGB>#996666</RGB> + </Color> + <Color> + <Index>48</Index> + <RGB>#3333CC</RGB> + </Color> + <Color> + <Index>49</Index> + <RGB>#336666</RGB> + </Color> + <Color> + <Index>52</Index> + <RGB>#663300</RGB> + </Color> + <Color> + <Index>55</Index> + <RGB>#424242</RGB> + </Color> + </Colors> + </OfficeDocumentSettings> + <ExcelWorkbook xmlns="urn:schemas-microsoft-com:office:excel"> + <WindowHeight>5520</WindowHeight> + <WindowWidth>11970</WindowWidth> + <WindowTopX>-15</WindowTopX> + <WindowTopY>-15</WindowTopY> + <TabRatio>854</TabRatio> + <AcceptLabelsInFormulas/> + <ProtectStructure>False</ProtectStructure> + <ProtectWindows>False</ProtectWindows> + </ExcelWorkbook> + <Styles> + <Style ss:ID="Default" ss:Name="Normal"> + <Alignment ss:Vertical="Bottom"/> + <Borders/> + <Font x:Family="Swiss"/> + <Interior/> + <NumberFormat/> + <Protection/> + </Style> + <Style ss:ID="s20" ss:Name="Normal_Solver Example"> + <Alignment ss:Vertical="Bottom"/> + <Borders/> + <Font ss:FontName="MS Sans Serif" x:Family="Swiss" ss:Size="8"/> + <Interior/> + <NumberFormat/> + <Protection/> + </Style> + <Style ss:ID="s21" ss:Name="Normal_SOLVER1"> + <Alignment ss:Horizontal="Left" ss:Vertical="Bottom"/> + <Borders/> + <Font ss:FontName="Helv" x:Family="Swiss" ss:Size="8"/> + <Interior/> + <NumberFormat/> + <Protection/> + </Style> + <Style ss:ID="s22" ss:Name="Normal_SOLVER2"> + <Alignment ss:Horizontal="Left" ss:Vertical="Bottom"/> + <Borders/> + <Font ss:FontName="Helv" x:Family="Swiss" ss:Size="8"/> + <Interior/> + <NumberFormat/> + <Protection/> + </Style> + <Style ss:ID="s23" ss:Name="Normal_SOLVER4"> + <Alignment ss:Horizontal="Left" ss:Vertical="Bottom"/> + <Borders/> + <Font ss:FontName="Helv" x:Family="Swiss" ss:Size="8"/> + <Interior/> + <NumberFormat/> + <Protection/> + </Style> + <Style ss:ID="s24" ss:Name="Normal_SOLVER5"> + <Alignment ss:Horizontal="Left" ss:Vertical="Bottom"/> + <Borders/> + <Font ss:FontName="Helv" x:Family="Swiss" ss:Size="8"/> + <Interior/> + <NumberFormat/> + <Protection/> + </Style> + <Style ss:ID="s25" ss:Name="Normal_SOLVER6"> + <Alignment ss:Horizontal="Left" ss:Vertical="Bottom"/> + <Borders/> + <Font ss:FontName="Helv" x:Family="Swiss" ss:Size="8"/> + <Interior/> + <NumberFormat/> + <Protection/> + </Style> + <Style ss:ID="s27"> + <Font ss:FontName="Helv" x:Family="Swiss" ss:Bold="1"/> + </Style> + <Style ss:ID="s28"> + <Alignment ss:Vertical="Bottom"/> + </Style> + <Style ss:ID="s29"> + <Alignment ss:Vertical="Bottom"/> + <Borders> + <Border ss:Position="Top" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#000080"/> + </Borders> + <Interior ss:Color="#FFFFFF" ss:Pattern="Gray125" ss:PatternColor="#FFFF00"/> + </Style> + <Style ss:ID="s30"> + <Alignment ss:Vertical="Bottom"/> + <Borders> + <Border ss:Position="Right" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#000080"/> + <Border ss:Position="Top" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#000080"/> + </Borders> + <Interior ss:Color="#FFFFFF" ss:Pattern="Gray125" ss:PatternColor="#FFFF00"/> + </Style> + <Style ss:ID="s31"> + <Alignment ss:Vertical="Bottom"/> + <Borders> + <Border ss:Position="Bottom" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#000080"/> + </Borders> + <Interior ss:Color="#FFFFFF" ss:Pattern="Gray125" ss:PatternColor="#FFFF00"/> + </Style> + <Style ss:ID="s32"> + <Alignment ss:Vertical="Bottom"/> + <Borders> + <Border ss:Position="Bottom" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#000080"/> + <Border ss:Position="Right" ss:LineStyle="Continuous" ss:Weight="3" + 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ss:Color="#008000"/> + <Border ss:Position="Right" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#008000"/> + <Border ss:Position="Top" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#008000"/> + </Borders> + <Interior/> + <NumberFormat ss:Format="0"/> + </Style> + <Style ss:ID="s36"> + <Alignment ss:Horizontal="Center" ss:Vertical="Bottom"/> + <Borders> + <Border ss:Position="Bottom" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#008000"/> + <Border ss:Position="Left" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#008000"/> + <Border ss:Position="Right" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#008000"/> + </Borders> + <Interior/> + <NumberFormat ss:Format="0"/> + </Style> + <Style ss:ID="s37"> + <Alignment ss:Horizontal="Center" ss:Vertical="Bottom"/> + <Borders> + <Border ss:Position="Bottom" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#000080"/> + <Border ss:Position="Right" ss:LineStyle="Continuous" ss:Weight="3" + ss:Color="#000080"/> + 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ss:StyleID="s249"><Data ss:Type="String">Salesforce</Data></Cell> + <Cell ss:StyleID="s255"><Data ss:Type="Number">8000</Data></Cell> + <Cell ss:StyleID="s255"><Data ss:Type="Number">8000</Data></Cell> + <Cell ss:StyleID="s255"><Data ss:Type="Number">9000</Data></Cell> + <Cell ss:StyleID="s255"><Data ss:Type="Number">9000</Data></Cell> + <Cell ss:StyleID="s256" ss:Formula="=SUM(RC[-4]:RC[-1])"><Data ss:Type="Number">34000</Data></Cell> + <Cell ss:Index="8" ss:StyleID="s294"/> + <Cell ss:StyleID="s146"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Changing cells</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s380"><Data ss:Type="String">Advertising</Data></Cell> + <Cell ss:StyleID="s377" ss:Formula="=10000"><Data ss:Type="Number">10000</Data></Cell> + <Cell ss:StyleID="s378" ss:Formula="=10000"><Data ss:Type="Number">10000</Data></Cell> + <Cell ss:StyleID="s378" ss:Formula="=10000"><Data ss:Type="Number">10000</Data></Cell> + <Cell ss:StyleID="s379" ss:Formula="=10000"><Data ss:Type="Number">10000</Data></Cell> + <Cell ss:StyleID="s381" ss:Formula="=SUM(RC[-4]:RC[-1])"><Data ss:Type="Number">40000</Data></Cell> + <Cell ss:Index="8" ss:StyleID="s294"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s249"><Data ss:Type="String">Corp Overhead</Data></Cell> + <Cell ss:StyleID="s255" ss:Formula="=0.15*R[-6]C"><Data ss:Type="Number">21549.315534373705</Data></Cell> + <Cell ss:StyleID="s255" ss:Formula="=0.15*R[-6]C"><Data ss:Type="Number">26338.052319790084</Data></Cell> + <Cell ss:StyleID="s255" ss:Formula="=0.15*R[-6]C"><Data ss:Type="Number">19154.947141665514</Data></Cell> + <Cell ss:StyleID="s255" ss:Formula="=0.15*R[-6]C"><Data ss:Type="Number">28732.420712498275</Data></Cell> + <Cell ss:StyleID="s256" ss:Formula="=SUM(RC[-4]:RC[-1])"><Data ss:Type="Number">95774.735708327586</Data></Cell> + <Cell ss:Index="8" ss:StyleID="s294"/> + <Cell ss:StyleID="s304"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Constraints</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s249"><Data ss:Type="String">Total Costs</Data></Cell> + <Cell ss:StyleID="s255" ss:Formula="=SUM(R[-3]C:R[-1]C)"><Data ss:Type="Number">39549.3155343737</Data></Cell> + <Cell ss:StyleID="s255" ss:Formula="=SUM(R[-3]C:R[-1]C)"><Data ss:Type="Number">44338.052319790084</Data></Cell> + <Cell ss:StyleID="s255" ss:Formula="=SUM(R[-3]C:R[-1]C)"><Data ss:Type="Number">38154.947141665514</Data></Cell> + <Cell ss:StyleID="s255" ss:Formula="=SUM(R[-3]C:R[-1]C)"><Data ss:Type="Number">47732.420712498279</Data></Cell> + <Cell ss:StyleID="s256" ss:Formula="=SUM(RC[-4]:RC[-1])"><Data ss:Type="Number">169774.73570832756</Data></Cell> + <Cell ss:Index="8" ss:StyleID="s298"/> + <Cell ss:StyleID="s299"/> + <Cell ss:StyleID="s299"/> + <Cell ss:StyleID="s300"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="7.5"> + <Cell ss:StyleID="s253"/> + <Cell ss:StyleID="s254"/> + <Cell ss:StyleID="s254"/> + <Cell ss:StyleID="s254"/> + <Cell ss:StyleID="s254"/> + <Cell ss:StyleID="s252"/> + <Cell ss:Index="8" ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s376"><Data ss:Type="String">Prod. Profit</Data></Cell> + <Cell ss:StyleID="s375" ss:Formula="=R[-7]C-R[-2]C"><Data ss:Type="Number">14323.97330156056</Data></Cell> + <Cell ss:StyleID="s259" ss:Formula="=R[-7]C-R[-2]C"><Data ss:Type="Number">21507.078479685115</Data></Cell> + <Cell ss:StyleID="s259" ss:Formula="=R[-7]C-R[-2]C"><Data ss:Type="Number">9732.4207124982786</Data></Cell> + <Cell ss:StyleID="s259" ss:Formula="=R[-7]C-R[-2]C"><Data ss:Type="Number">24098.631068747403</Data></Cell> + <Cell ss:StyleID="s260" ss:Formula="=SUM(RC[-4]:RC[-1])"><Data ss:Type="Number">69662.103562491364</Data></Cell> + <Cell ss:Index="8" ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s261"><Data ss:Type="String">Profit Margin</Data></Cell> + <Cell ss:StyleID="s262" ss:Formula="=R[-1]C/R[-10]C"><Data ss:Type="Number">9.9705997241852973E-2</Data></Cell> + <Cell ss:StyleID="s262" ss:Formula="=R[-1]C/R[-10]C"><Data ss:Type="Number">0.12248672501606143</Data></Cell> + <Cell ss:StyleID="s262" ss:Formula="=R[-1]C/R[-10]C"><Data ss:Type="Number">7.6213371724700413E-2</Data></Cell> + <Cell ss:StyleID="s262" ss:Formula="=R[-1]C/R[-10]C"><Data ss:Type="Number">0.12580891448313355</Data></Cell> + <Cell ss:StyleID="s263" ss:Formula="=R[-1]C/R[-10]C"><Data ss:Type="Number">0.10910304744871398</Data></Cell> + <Cell ss:Index="8" ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s264"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s266"><Data ss:Type="String">Product Price</Data></Cell> + <Cell ss:StyleID="s267"><Data ss:Type="Number">40</Data></Cell> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s268"><Data ss:Type="String">Product Cost</Data></Cell> + <Cell ss:StyleID="s269"><Data ss:Type="Number">25</Data></Cell> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + <Cell ss:StyleID="s265"/> + </Row> + <Row ss:Height="11.25"> + <Cell ss:StyleID="s270"><Data ss:Type="String">The following examples show you how to work with the model above to solve for one value or several</Data></Cell> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s204"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">values to maximize or minimize another value, enter and change constraints, and save a problem model.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s280"><Data ss:Type="String">Row</Data></Cell> + <Cell ss:StyleID="s272"><Data ss:Type="String">Contains</Data></Cell> + <Cell ss:StyleID="s273"/> + <Cell ss:StyleID="s272"><Data ss:Type="String">Explanation</Data></Cell> + <Cell ss:StyleID="s273"/> + <Cell ss:StyleID="s273"/> + <Cell ss:StyleID="s273"/> + <Cell ss:StyleID="s273"/> + <Cell ss:StyleID="s274"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">3</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">Fixed values</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Seasonality factor: sales are higher in quarters 2 and 4,</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"/> + <Cell ss:StyleID="s279"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">and lower in quarters 1 and 3.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">5</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">=35*B3*(B11+3000)^0.5</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Forecast for units sold each quarter: row 3 contains</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">the seasonality factor; row 11 contains the cost of</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">advertising.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">6</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">=B5*$B$18</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Sales revenue: forecast for units sold (row 5) times</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">price (cell B18).</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">7</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">=B5*$B$19</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Cost of sales: forecast for units sold (row 5) times</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">product cost (cell B19).</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">8</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">=B6-B7</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Gross margin: sales revenues (row 6) minus cost of</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">sales (row 7).</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">10</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">Fixed values</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Sales personnel expenses.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">11</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">Fixed values</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Advertising budget (about 6.3% of sales).</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">12</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">=0.15*B6</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Corporate overhead expenses: sales revenues (row 6)</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">times 15%.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">13</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">=SUM(B10:B12)</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Total costs: sales personnel expenses (row 10) plus</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">advertising (row 11) plus overhead (row 12).</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">15</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">=B8-B13</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Product profit: gross margin (row 8) minus total costs</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">(row 13).</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">16</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">=B15/B6</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Profit margin: profit (row 15) divided by sales revenue</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">(row 6).</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">18</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">Fixed values</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Product price.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s281"><Data ss:Type="Number">19</Data></Cell> + <Cell ss:StyleID="s279"><Data ss:Type="String">Fixed values</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Product cost.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s205"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">This is a typical marketing model that shows sales rising from a base figure (perhaps due to the sales</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">personnel) along with increases in advertising, but with diminishing returns. For example, the first</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">$5,000 of advertising in Q1 yields about 1,092 incremental units sold, but the next $5,000 yields only</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">about 775 units more.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">You can use Solver to find out whether the advertising budget is too low, and whether advertising </Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">should be allocated differently over time to take advantage of the changing seasonality factor.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:Height="12.75"> + <Cell ss:StyleID="s285"><Data ss:Type="String">Solving for a Value to Maximize Another Value</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">One way you can use Solver is to determine the maximum value of a cell by changing another cell. The</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">two cells must be related through the formulas on the worksheet. If they are not, changing the value in</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">one cell will not change the value in the other cell.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">For example, in the sample worksheet, you want to know how much you need to spend on advertising</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">to generate the maximum profit for the first quarter. You are interested in maximizing profit by changing</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">advertising expenditures.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s283"><Data ss:Type="String">n</Data></Cell> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">On the <B>Tools</B><Font> menu, click </Font><B>Solver</B><Font>. In the </Font><B>Set target cell</B><Font> box, type </Font><B>b15</B><Font> or </Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">select cell B15 (first-quarter profits) on the worksheet. Select the <B>Max</B><Font> option.</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">In the <B>By changing cells</B><Font> box, type </Font><B>b11</B><Font> or select cell B11 (first-quarter advertising)</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">on the worksheet. Click <B>Solve</B><Font>.</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">You will see messages in the status bar as the problem is set up and Solver starts working. After a</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">moment, you'll see a message that Solver has found a solution. Solver finds that Q1 advertising of</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">$17,093 yields the maximum profit $15,093.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s283"><Data ss:Type="String">n</Data></Cell> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">After you examine the results, select <B>Restore original values</B><Font> and click </Font><B>OK</B><Font> to</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">discard the results and return cell B11 to its former value.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:Height="12.75"> + <Cell ss:StyleID="s285"><Data ss:Type="String">Resetting the Solver Options</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">If you want to return the options in the <B>Solver Parameters</B><Font> dialog box to their original settings so that</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">you can start a new problem, you can click <B>Reset All</B><Font>.</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:Height="12.75"> + <Cell ss:StyleID="s285"><Data ss:Type="String">Solving for a Value by Changing Several Values</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">You can also use Solver to solve for several values at once to maximize or minimize another value. For</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">example, you can solve for the advertising budget for each quarter that will result in the best profits for</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">the entire year. Because the seasonality factor in row 3 enters into the calculation of unit sales in row 5</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">as a multiplier, it seems logical that you should spend more of your advertising budget in Q4 when the </Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">sales response is highest, and less in Q3 when the sales response is lowest. Use Solver to determine</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">the best quarterly allocation.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s283"><Data ss:Type="String">n</Data></Cell> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">On the <B>Tools</B><Font> menu, click </Font><B>Solver</B><Font>. In the </Font><B>Set target cell</B><Font> box, type </Font><B>f15</B><Font> or select</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">cell F15 (total profits for the year) on the worksheet. Make sure the <B>Max</B><Font> option is</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">selected. In the <B>By changing cells</B><Font> box, type </Font><B>b11:e11</B><Font> or select cells B11:E11</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">(the advertising budget for each of the four quarters) on the worksheet. Click <B>Solve</B><Font>.</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s283"><Data ss:Type="String">n</Data></Cell> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">After you examine the results, click <B>Restore original values</B><Font> and click </Font><B>OK</B><Font> to</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">discard the results and return all cells to their former values.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">You've just asked Solver to solve a moderately complex nonlinear optimization problem; that is, to find</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">values for the four unknowns in cells B11 through E11 that will maximize profits. (This is a nonlinear</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">problem because of the exponentiation that occurs in the formulas in row 5). The results of this</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">unconstrained optimization show that you can increase profits for the year to $79,706 if you spend</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">$89,706 in advertising for the full year.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">However, most realistic modeling problems have limiting factors that you will want to apply to certain</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">values. These constraints may be applied to the target cell, the changing cells, or any other value that</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">is related to the formulas in these cells.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:Height="12.75"> + <Cell ss:StyleID="s285"><Data ss:Type="String">Adding a Constraint</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">So far, the budget recovers the advertising cost and generates additional profit, but you're reaching a</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">point of diminishing returns. Because you can never be sure that your model of sales response to</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">advertising will be valid next year (especially at greatly increased spending levels), it doesn't seem</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">prudent to allow unrestricted spending on advertising.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">Suppose you want to maintain your original advertising budget of $40,000. Add the constraint to the </Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">problem that limits the sum of advertising during the four quarters to $40,000.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s283"><Data ss:Type="String">n</Data></Cell> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">On the <B>Tools</B><Font> menu, click </Font><B>Solver</B><Font>, and then click </Font><B>Add</B><Font>. The </Font><B>Add Constraint</B><Font> </Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">dialog box appears. In the <B>Cell reference</B><Font> box, type </Font><B>f11</B><Font> or select cell F11</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">(advertising total) on the worksheet. Cell F11 must be less than or equal to $40,000.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">The relationship in the <B>Constraint</B><Font> box is </Font><B><=</B><Font> (less than or equal to) by default, so </Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">you don't have to change it. In the box next to the relationship, type <B>40000</B><Font>. Click</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s284"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40"><B>OK</B><Font>, and then click </Font><B>Solve</B><Font>.</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s283"><Data ss:Type="String">n</Data></Cell> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">After you examine the results, click <B>Restore original values</B><Font> and then click </Font><B>OK</B></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">to discard the results and return the cells to their former values.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">The solution found by Solver allocates amounts ranging from $5,117 in Q3 to $15,263 in Q4. Total </Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">Profit has increased from $69,662 in the original budget to $71,447, without any increase in the</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">advertising budget.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:Height="12.75"> + <Cell ss:StyleID="s285"><Data ss:Type="String">Changing a Constraint</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">When you use Microsoft Excel Solver, you can experiment with slightly different parameters to decide</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">the best solution to a problem. For example, you can change a constraint to see whether the results</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">are better or worse than before. In the sample worksheet, try changing the constraint on advertising</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">dollars to $50,000 to see what that does to total profits.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s283"><Data ss:Type="String">n</Data></Cell> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">On the <B>Tools</B><Font> menu, click </Font><B>Solver</B><Font>. The constraint, </Font><B>$F$11<=40000</B><Font>, should </Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">already be selected in the <B>Subject to the constraints</B><Font> box. Click </Font><B>Change</B><Font>. In</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">the <B>Constraint</B><Font> box, change </Font><B>40000</B><Font> to </Font><B>50000</B><Font>. Click </Font><B>OK</B><Font>, and then click </Font><B>Solve</B><Font>.</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">Click <B>Keep solver solution</B><Font> and then click </Font><B>OK</B><Font> to keep the results that are </Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">displayed on the worksheet.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">Solver finds an optimal solution that yields a total profit of $74,817. That's an improvement of $3,370</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">over the last figure of $71,447. In most firms, it's not too difficult to justify an incremental investment of</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">$10,000 that yields an additional $3,370 in profit, or a 33.7% return on investment. This solution also</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">results in profits of $4,889 less than the unconstrained result, but you spend $39,706 less to get there.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:Height="12.75"> + <Cell ss:StyleID="s285"><Data ss:Type="String">Saving a Problem Model</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">When you click <B>Save</B><Font> on the </Font><B>File</B><Font> menu, the last selections you made in the </Font><B>Solver Parameters</B><Font> </Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">dialog box are attached to the worksheet and retained when you save the workbook. However, you</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">can define more than one problem for a worksheet by saving them individually using <B>Save Model</B><Font> in </Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">the <B>Solver Options</B><Font> dialog box. Each problem model consists of cells and constraints that you </Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">entered in the <B>Solver Parameters</B><Font> dialog box.</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">When you click <B>Save Model</B><Font>, the </Font><B>Save Model</B><Font> dialog box appears with a default selection, based </Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">on the active cell, as the area for saving the model. The suggested range includes a cell for each </Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">constraint plus three additional cells. Make sure that this cell range is an empty range on the </Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">worksheet.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s283"><Data ss:Type="String">n</Data></Cell> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">On the <B>Tools</B><Font> menu, click </Font><B>Solver</B><Font>, and then click </Font><B>Options</B><Font>. Click </Font><B>Save Model</B><Font>.</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">In the <B>Select model area</B><Font> box, type </Font><B>h15:h18</B><Font> or select cells H15:H18 on the</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s279"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">worksheet. Click <B>OK</B><Font>.</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s286"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s288"/> + </Row> + <Row> + <Cell ss:StyleID="s289"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40"><B>Note </B><Font>You can also enter a reference to a single cell in the </Font><B>Select model area</B><Font> box. Solver will use</Font></ss:Data></Cell> + <Cell ss:StyleID="s279"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">this reference as the upper-left corner of the range into which it will copy the problem specifications.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="4.5"> + <Cell ss:StyleID="s290"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s287"/> + <Cell ss:StyleID="s288"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="8.25"> + <Cell ss:StyleID="s282"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s291"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">To load these problem specifications later, click <B>Load Model</B><Font> on the </Font><B>Solver Options</B><Font> dialog box,</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s291"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">type <B>h15:h18</B><Font> in the </Font><B>Model area</B><Font> box or select cells H15:H18 on the sample worksheet, and then</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s291"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">click <B>OK</B><Font>. Solver displays a message asking if you want to reset the current Solver option settings with</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row> + <Cell ss:StyleID="s291"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">the settings for the model you are loading. Click <B>OK</B><Font> to proceed.</Font></ss:Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s208"/> + <Cell ss:StyleID="s277"><NamedCell ss:Name="BudgetTab"/></Cell> + <Cell ss:StyleID="s277"><NamedCell ss:Name="BudgetTab"/></Cell> + <Cell ss:StyleID="s277"><NamedCell ss:Name="BudgetTab"/></Cell> + <Cell ss:StyleID="s277"><NamedCell ss:Name="BudgetTab"/></Cell> + <Cell ss:StyleID="s277"><NamedCell ss:Name="BudgetTab"/></Cell> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s278"/> + </Row> + <Row ss:Height="11.25"/> + </Table> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <PageSetup> + <Header x:Data="&F"/> + <Footer x:Data="Page &P"/> + </PageSetup> + <Print> + <ValidPrinterInfo/> + <HorizontalResolution>-4</HorizontalResolution> + <VerticalResolution>-4</VerticalResolution> + </Print> + <Selected/> + <DoNotDisplayGridlines/> + <Panes> + <Pane> + <Number>3</Number> + <ActiveRow>1</ActiveRow> + <ActiveCol>7</ActiveCol> + </Pane> + </Panes> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + </Worksheet> + <Worksheet ss:Name="Product Mix"> + <Names> + <NamedRange ss:Name="solver_adj" ss:RefersTo="='Product Mix'!R9C4:R9C6" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_drv" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_est" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_itr" ss:RefersTo="=100" ss:Hidden="1"/> + <NamedRange ss:Name="solver_lhs1" ss:RefersTo="='Product Mix'!R9C4:R9C6" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_lhs2" ss:RefersTo="='Product Mix'!R11C3:R15C3" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_lin" ss:RefersTo="=2" ss:Hidden="1"/> + <NamedRange ss:Name="solver_num" ss:RefersTo="=2" ss:Hidden="1"/> + <NamedRange ss:Name="solver_nwt" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_opt" ss:RefersTo="='Product Mix'!R18C4" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_pre" ss:RefersTo="=0.000001" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rel1" ss:RefersTo="=3" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rel2" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rhs1" ss:RefersTo="=0" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rhs2" ss:RefersTo="='Product Mix'!R11C2:R15C2" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_scl" ss:RefersTo="=2" ss:Hidden="1"/> + <NamedRange ss:Name="solver_sho" ss:RefersTo="=2" ss:Hidden="1"/> + <NamedRange ss:Name="solver_tim" ss:RefersTo="=100" ss:Hidden="1"/> + <NamedRange ss:Name="solver_tol" ss:RefersTo="=0.05" ss:Hidden="1"/> + <NamedRange ss:Name="solver_typ" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_val" ss:RefersTo="=0" ss:Hidden="1"/> + </Names> + <Table ss:ExpandedColumnCount="256" ss:ExpandedRowCount="41" x:FullColumns="1" + x:FullRows="1" ss:StyleID="s21" ss:DefaultRowHeight="10.5"> + <Column ss:StyleID="s200" ss:AutoFitWidth="0" ss:Width="58.5"/> + <Column ss:StyleID="s200" ss:AutoFitWidth="0" ss:Width="47.25" ss:Span="4"/> + <Column ss:Index="7" ss:StyleID="s21" ss:AutoFitWidth="0" ss:Width="29.25"/> + <Column ss:Index="9" ss:StyleID="s21" ss:AutoFitWidth="0" ss:Width="21"/> + <Column ss:StyleID="s21" ss:AutoFitWidth="0" ss:Width="39.75"/> + <Column ss:StyleID="s21" ss:AutoFitWidth="0" ss:Width="31.5"/> + <Column ss:StyleID="s21" ss:AutoFitWidth="0" ss:Width="35.25"/> + <Column ss:StyleID="s21" ss:AutoFitWidth="0" ss:Width="39.75" ss:Span="243"/> + <Row ss:AutoFitHeight="0" ss:Height="14.25"> + <Cell ss:StyleID="s199"><Data ss:Type="String">Example 1: Product mix problem with diminishing profit margin.</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="12"> + <Cell ss:StyleID="s202"><Data ss:Type="String">Your company manufactures TVs, stereos and speakers, using a common parts inventory</Data></Cell> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s204"/> + <Cell ss:Index="9" ss:StyleID="s301"><Data ss:Type="String">Color Coding</Data></Cell> + <Cell ss:StyleID="s292"/> + <Cell ss:StyleID="s292"/> + <Cell ss:StyleID="s293"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s205"><Data ss:Type="String">of power supplies, speaker cones, etc. Parts are in limited supply and you must determine</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + <Cell ss:Index="9" ss:StyleID="s294"/> + <Cell ss:StyleID="s295"/> + <Cell ss:StyleID="s295"/> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s205"><Data ss:Type="String">the most profitable mix of products to build. But your profit per unit built decreases with</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + <Cell ss:Index="9" ss:StyleID="s294"/> + <Cell ss:StyleID="s197"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Target cell</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s208"><Data ss:Type="String">volume because extra price incentives are needed to load the distribution channel.</Data></Cell> + <Cell ss:StyleID="s209"/> + <Cell ss:StyleID="s209"/> + <Cell ss:StyleID="s209"/> + <Cell ss:StyleID="s209"/> + <Cell ss:StyleID="s209"/> + <Cell ss:StyleID="s210"/> + <Cell ss:Index="9" ss:StyleID="s294"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s21"/> + <Cell ss:Index="9" ss:StyleID="s294"/> + <Cell ss:StyleID="s146"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Changing cells</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s21"/> + <Cell ss:Index="9" ss:StyleID="s294"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s211"/> + <Cell ss:StyleID="s212"/> + <Cell ss:StyleID="s213"/> + <Cell ss:StyleID="s214"><Data ss:Type="String">TV set</Data></Cell> + <Cell ss:StyleID="s214"><Data ss:Type="String">Stereo</Data></Cell> + <Cell ss:StyleID="s387"><Data ss:Type="String">Speaker</Data></Cell> + <Cell ss:Index="9" ss:StyleID="s294"/> + <Cell ss:StyleID="s304"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Constraints</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s215"/> + <Cell ss:StyleID="s216"/> + <Cell ss:StyleID="s217"><Data ss:Type="String">Number to Build-></Data></Cell> + <Cell ss:StyleID="s218"><Data ss:Type="Number">100</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s219"><Data ss:Type="Number">100</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s220"><Data ss:Type="Number">100</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:Index="9" ss:StyleID="s298"/> + <Cell ss:StyleID="s299"/> + <Cell ss:StyleID="s299"/> + <Cell ss:StyleID="s300"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s221"><Data ss:Type="String">Part Name</Data></Cell> + <Cell ss:StyleID="s217"><Data ss:Type="String">Inventory</Data></Cell> + <Cell ss:StyleID="s217"><Data ss:Type="String">No. Used</Data></Cell> + <Cell ss:StyleID="s222"/> + <Cell ss:StyleID="s222"/> + <Cell ss:StyleID="s223"/> + <Cell ss:Index="9" ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s221"><Data ss:Type="String">Chassis</Data></Cell> + <Cell ss:StyleID="s224"><Data ss:Type="Number">450</Data><NamedCell + ss:Name="solver_rhs2"/></Cell> + <Cell ss:StyleID="s225" ss:Formula="=R9C4*RC[1]+R9C5*RC[2]+R9C6*RC[3]"><Data + ss:Type="Number">200</Data><NamedCell ss:Name="solver_lhs2"/></Cell> + <Cell ss:StyleID="s222"><Data ss:Type="Number">1</Data></Cell> + <Cell ss:StyleID="s222"><Data ss:Type="Number">1</Data></Cell> + <Cell ss:StyleID="s223"><Data ss:Type="Number">0</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s221"><Data ss:Type="String">Picture Tube</Data></Cell> + <Cell ss:StyleID="s226"><Data ss:Type="Number">250</Data><NamedCell + ss:Name="solver_rhs2"/></Cell> + <Cell ss:StyleID="s227" ss:Formula="=R9C4*RC[1]+R9C5*RC[2]+R9C6*RC[3]"><Data + ss:Type="Number">100</Data><NamedCell ss:Name="solver_lhs2"/></Cell> + <Cell ss:StyleID="s222"><Data ss:Type="Number">1</Data></Cell> + <Cell ss:StyleID="s222"><Data ss:Type="Number">0</Data></Cell> + <Cell ss:StyleID="s223"><Data ss:Type="Number">0</Data></Cell> + <Cell ss:Index="8" ss:StyleID="s228"><Data ss:Type="String">Diminishing</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s221"><Data ss:Type="String">Speaker Cone</Data></Cell> + <Cell ss:StyleID="s226"><Data ss:Type="Number">800</Data><NamedCell + ss:Name="solver_rhs2"/></Cell> + <Cell ss:StyleID="s227" ss:Formula="=R9C4*RC[1]+R9C5*RC[2]+R9C6*RC[3]"><Data + ss:Type="Number">500</Data><NamedCell ss:Name="solver_lhs2"/></Cell> + <Cell ss:StyleID="s222"><Data ss:Type="Number">2</Data></Cell> + <Cell ss:StyleID="s222"><Data ss:Type="Number">2</Data></Cell> + <Cell ss:StyleID="s223"><Data ss:Type="Number">1</Data></Cell> + <Cell ss:Index="8" ss:StyleID="s229"><Data ss:Type="String">Returns</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s221"><Data ss:Type="String">Power Supply</Data></Cell> + <Cell ss:StyleID="s226"><Data ss:Type="Number">450</Data><NamedCell + ss:Name="solver_rhs2"/></Cell> + <Cell ss:StyleID="s227" ss:Formula="=R9C4*RC[1]+R9C5*RC[2]+R9C6*RC[3]"><Data + ss:Type="Number">200</Data><NamedCell ss:Name="solver_lhs2"/></Cell> + <Cell ss:StyleID="s222"><Data ss:Type="Number">1</Data></Cell> + <Cell ss:StyleID="s222"><Data ss:Type="Number">1</Data></Cell> + <Cell ss:StyleID="s223"><Data ss:Type="Number">0</Data></Cell> + <Cell ss:Index="8" ss:StyleID="s229"><Data ss:Type="String">Exponent:</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s230"><Data ss:Type="String">Electronics</Data></Cell> + <Cell ss:StyleID="s231"><Data ss:Type="Number">600</Data><NamedCell + ss:Name="solver_rhs2"/></Cell> + <Cell ss:StyleID="s232" ss:Formula="=R9C4*RC[1]+R9C5*RC[2]+R9C6*RC[3]"><Data + ss:Type="Number">400</Data><NamedCell ss:Name="solver_lhs2"/></Cell> + <Cell ss:StyleID="s233"><Data ss:Type="Number">2</Data></Cell> + <Cell ss:StyleID="s233"><Data ss:Type="Number">1</Data></Cell> + <Cell ss:StyleID="s234"><Data ss:Type="Number">1</Data></Cell> + <Cell ss:Index="8" ss:StyleID="s235"><Data ss:Type="Number">0.9</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="14.25"> + <Cell ss:Index="4" ss:StyleID="s236"><Data ss:Type="String">Profits:</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s237"/> + <Cell ss:StyleID="s238"><Data ss:Type="String">By Product</Data></Cell> + <Cell ss:StyleID="s239" ss:Formula="=75*MAX(R[-8]C,0)^R15C8"><Data + ss:Type="Number">4732.1800836014527</Data></Cell> + <Cell ss:StyleID="s239" ss:Formula="=50*MAX(R[-8]C,0)^R15C8"><Data + ss:Type="Number">3154.7867224009683</Data></Cell> + <Cell ss:StyleID="s240" ss:Formula="=35*MAX(R[-8]C,0)^R15C8"><Data + ss:Type="Number">2208.3507056806779</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s21"/> + <Cell ss:StyleID="s241"/> + <Cell ss:StyleID="s242"><Data ss:Type="String">Total </Data></Cell> + <Cell ss:StyleID="s197" ss:Formula="=SUM(R[-1]C:R[-1]C[2])"><Data + ss:Type="Number">10095.317511683099</Data><NamedCell ss:Name="solver_opt"/></Cell> + <Cell ss:StyleID="s243"/> + <Cell ss:StyleID="s244"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="7.5"/> + <Row ss:AutoFitHeight="0" ss:Height="14.25"> + <Cell ss:StyleID="s270"><Data ss:Type="String">This model provides data for several products using common parts, each with a different profit margin</Data></Cell> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s204"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">per unit. Parts are limited, so your problem is to determine the number of each product to build from the</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">inventory on hand in order to maximize profits.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s372"><Data ss:Type="String">Problem Specifications</Data></Cell> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s374"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">Target Cell</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">D18</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Goal is to maximize profit.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">Changing cells</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">D9:F9</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Units of each product to build.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">Constraints</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">C11:C15<=B11:B15</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Number of parts used must be less than or </Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">equal to the number of parts in inventory.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">D9:F9>=0</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Number to build value must be greater than or</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">equal to 0.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">The formulas for profit per product in cells D17:F17 include the factor ^H15 to show that profit per unit</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">diminishes with volume. H15 contains 0.9, which makes the problem nonlinear. If you change H15 to</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">1.0 to indicate that profit per unit remains constant with volume, and then click <B>Solve</B><Font> again, the</Font></ss:Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">optimal solution will change. This change also makes the problem linear.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s208"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s278"/> + </Row> + <Row ss:Height="11.25"/> + </Table> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <PageSetup> + <Header x:Data="&F"/> + <Footer x:Data="Page &P"/> + </PageSetup> + <Print> + <ValidPrinterInfo/> + <HorizontalResolution>-4</HorizontalResolution> + <VerticalResolution>-4</VerticalResolution> + <NumberofCopies>12334</NumberofCopies> + </Print> + <DoNotDisplayGridlines/> + <Panes> + <Pane> + <Number>3</Number> + <ActiveRow>100</ActiveRow> + </Pane> + </Panes> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + </Worksheet> + <Worksheet ss:Name="Shipping Routes"> + <Names> + <NamedRange ss:Name="solver_adj" ss:RefersTo="='Shipping Routes'!R8C3:R10C7" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_drv" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_est" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_itr" ss:RefersTo="=100" ss:Hidden="1"/> + <NamedRange ss:Name="solver_lhs1" ss:RefersTo="='Shipping Routes'!R8C3:R10C7" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_lhs2" ss:RefersTo="='Shipping Routes'!R8C2:R10C2" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_lhs3" ss:RefersTo="='Shipping Routes'!R12C3:R12C7" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_lin" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_num" ss:RefersTo="=3" ss:Hidden="1"/> + <NamedRange ss:Name="solver_nwt" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_opt" ss:RefersTo="='Shipping Routes'!R20C2" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_pre" ss:RefersTo="=0.000001" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rel1" ss:RefersTo="=3" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rel2" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rel3" ss:RefersTo="=3" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rhs1" ss:RefersTo="=0" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rhs2" ss:RefersTo="='Shipping Routes'!R16C2:R18C2" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_rhs3" ss:RefersTo="='Shipping Routes'!R14C3:R14C7" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_scl" ss:RefersTo="=2" ss:Hidden="1"/> + <NamedRange ss:Name="solver_sho" ss:RefersTo="=2" ss:Hidden="1"/> + <NamedRange ss:Name="solver_tim" ss:RefersTo="=100" ss:Hidden="1"/> + <NamedRange ss:Name="solver_tol" ss:RefersTo="=0.05" ss:Hidden="1"/> + <NamedRange ss:Name="solver_typ" ss:RefersTo="=2" ss:Hidden="1"/> + <NamedRange ss:Name="solver_val" ss:RefersTo="=0" ss:Hidden="1"/> + </Names> + <Table ss:ExpandedColumnCount="256" ss:ExpandedRowCount="48" x:FullColumns="1" + x:FullRows="1" ss:StyleID="s22" ss:DefaultRowHeight="10.5"> + <Column ss:StyleID="s151" ss:AutoFitWidth="0" ss:Width="51.75"/> + <Column ss:StyleID="s151" ss:AutoFitWidth="0" ss:Width="44.25" ss:Span="5"/> + <Column ss:Index="8" ss:StyleID="s22" ss:AutoFitWidth="0" ss:Width="48.75"/> + <Column ss:StyleID="s22" ss:AutoFitWidth="0" ss:Width="15"/> + <Column ss:StyleID="s22" ss:AutoFitWidth="0" ss:Width="17.25"/> + <Column ss:StyleID="s22" ss:AutoFitWidth="0" ss:Width="33.75"/> + <Column ss:StyleID="s22" ss:AutoFitWidth="0" ss:Width="31.5"/> + <Column ss:StyleID="s22" ss:AutoFitWidth="0" ss:Width="37.5"/> + <Column ss:StyleID="s22" ss:AutoFitWidth="0" ss:Width="39.75" ss:Span="242"/> + <Row ss:AutoFitHeight="0" ss:Height="14.25"> + <Cell ss:StyleID="s150"><Data ss:Type="String">Example 2: Transportation Problem.</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="12"> + <Cell ss:StyleID="s153"><Data ss:Type="String">Minimize the costs of shipping goods from production plants to warehouses near metropolitan demand</Data></Cell> + <Cell ss:StyleID="s154"/> + <Cell ss:StyleID="s154"/> + <Cell ss:StyleID="s154"/> + <Cell ss:StyleID="s154"/> + <Cell ss:StyleID="s154"/> + <Cell ss:StyleID="s154"/> + <Cell ss:StyleID="s155"/> + <Cell ss:Index="10" ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s156"><Data ss:Type="String">centers, while not exceeding the supply available from each plant and meeting the demand from each</Data></Cell> + <Cell ss:StyleID="s157"/> + <Cell ss:StyleID="s157"/> + <Cell ss:StyleID="s157"/> + <Cell ss:StyleID="s157"/> + <Cell ss:StyleID="s157"/> + <Cell ss:StyleID="s157"/> + <Cell ss:StyleID="s158"/> + <Cell ss:Index="10" ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s159"><Data ss:Type="String">metropolitan area.</Data></Cell> + <Cell ss:StyleID="s160"/> + <Cell ss:StyleID="s160"/> + <Cell ss:StyleID="s160"/> + <Cell ss:StyleID="s160"/> + <Cell ss:StyleID="s160"/> + <Cell ss:StyleID="s160"/> + <Cell ss:StyleID="s161"/> + <Cell ss:Index="10" ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.8125"> + <Cell ss:Index="4" ss:StyleID="s22"/> + <Cell ss:Index="10" ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s162"/> + <Cell ss:StyleID="s163"/> + <Cell ss:StyleID="s164"><Data ss:Type="String">Number to ship from plant x to warehouse y (at intersection):</Data></Cell> + <Cell ss:StyleID="s163"/> + <Cell ss:StyleID="s163"/> + <Cell ss:StyleID="s163"/> + <Cell ss:StyleID="s163"/> + <Cell ss:StyleID="s165"/> + <Cell ss:Index="10" ss:StyleID="s301"><Data ss:Type="String">Color Coding</Data></Cell> + <Cell ss:StyleID="s292"/> + <Cell ss:StyleID="s292"/> + <Cell ss:StyleID="s293"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s166"><Data ss:Type="String">Plants:</Data></Cell> + <Cell ss:StyleID="s167"><Data ss:Type="String">Total</Data></Cell> + <Cell ss:StyleID="s168"><Data ss:Type="String">San Fran</Data></Cell> + <Cell ss:StyleID="s168"><Data ss:Type="String">Denver</Data></Cell> + <Cell ss:StyleID="s168"><Data ss:Type="String">Chicago</Data></Cell> + <Cell ss:StyleID="s168"><Data ss:Type="String">Dallas</Data></Cell> + <Cell ss:StyleID="s168"><Data ss:Type="String">New York</Data></Cell> + <Cell ss:StyleID="s169"/> + <Cell ss:Index="10" ss:StyleID="s294"/> + <Cell ss:StyleID="s295"/> + <Cell ss:StyleID="s295"/> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s170"><Data ss:Type="String">S. Carolina</Data></Cell> + <Cell ss:StyleID="s171" ss:Formula="=SUM(RC[1]:RC[5])"><Data ss:Type="Number">5</Data><NamedCell + ss:Name="solver_lhs2"/></Cell> + <Cell ss:StyleID="s172"><Data ss:Type="Number">1</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s173"><Data ss:Type="Number">1</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s173"><Data ss:Type="Number">1</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s173"><Data ss:Type="Number">1</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s174"><Data ss:Type="Number">1</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s169"/> + <Cell ss:Index="10" ss:StyleID="s294"/> + <Cell ss:StyleID="s197"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Target cell</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s170"><Data ss:Type="String">Tennessee</Data></Cell> + <Cell ss:StyleID="s175" ss:Formula="=SUM(RC[1]:RC[5])"><Data ss:Type="Number">5</Data><NamedCell + ss:Name="solver_lhs2"/></Cell> + <Cell ss:StyleID="s176"><Data ss:Type="Number">1</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">1</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">1</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">1</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s178"><Data ss:Type="Number">1</Data><NamedCell + ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s169"/> + <Cell 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ss:Name="solver_lhs1"/><NamedCell ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s169"/> + <Cell ss:Index="10" ss:StyleID="s294"/> + <Cell ss:StyleID="s146"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Changing cells</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s183"/> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s184"><Data ss:Type="String">---</Data></Cell> + <Cell ss:StyleID="s184"><Data ss:Type="String">---</Data></Cell> + <Cell ss:StyleID="s184"><Data ss:Type="String">---</Data></Cell> + <Cell ss:StyleID="s184"><Data ss:Type="String">---</Data></Cell> + <Cell ss:StyleID="s184"><Data ss:Type="String">---</Data></Cell> + <Cell ss:StyleID="s169"/> + <Cell ss:Index="10" ss:StyleID="s294"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s170"><Data ss:Type="String">Totals:</Data></Cell> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s185" ss:Formula="=SUM(R[-4]C:R[-2]C)"><Data ss:Type="Number">3</Data><NamedCell + ss:Name="solver_lhs3"/></Cell> + <Cell ss:StyleID="s186" ss:Formula="=SUM(R[-4]C:R[-2]C)"><Data ss:Type="Number">3</Data><NamedCell + ss:Name="solver_lhs3"/></Cell> + <Cell ss:StyleID="s186" ss:Formula="=SUM(R[-4]C:R[-2]C)"><Data ss:Type="Number">3</Data><NamedCell + ss:Name="solver_lhs3"/></Cell> + <Cell ss:StyleID="s186" ss:Formula="=SUM(R[-4]C:R[-2]C)"><Data ss:Type="Number">3</Data><NamedCell + ss:Name="solver_lhs3"/></Cell> + <Cell ss:StyleID="s187" ss:Formula="=SUM(R[-4]C:R[-2]C)"><Data ss:Type="Number">3</Data><NamedCell + ss:Name="solver_lhs3"/></Cell> + <Cell ss:StyleID="s169"/> + <Cell ss:Index="10" ss:StyleID="s294"/> + <Cell ss:StyleID="s304"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Constraints</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s183"/> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s169"/> + <Cell ss:Index="10" ss:StyleID="s298"/> + <Cell ss:StyleID="s299"/> + <Cell ss:StyleID="s299"/> + <Cell ss:StyleID="s300"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s188"/> + <Cell ss:StyleID="s189"><Data ss:Type="String">Demands by Whse --></Data></Cell> + <Cell ss:StyleID="s185"><Data ss:Type="Number">180</Data><NamedCell + ss:Name="solver_rhs3"/></Cell> + <Cell ss:StyleID="s186"><Data ss:Type="Number">80</Data><NamedCell + ss:Name="solver_rhs3"/></Cell> + <Cell ss:StyleID="s186"><Data ss:Type="Number">200</Data><NamedCell + ss:Name="solver_rhs3"/></Cell> + <Cell ss:StyleID="s186"><Data ss:Type="Number">160</Data><NamedCell + ss:Name="solver_rhs3"/></Cell> + <Cell ss:StyleID="s187"><Data ss:Type="Number">220</Data><NamedCell + ss:Name="solver_rhs3"/></Cell> + <Cell ss:StyleID="s190"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s191"><Data ss:Type="String">Plants:</Data></Cell> + <Cell ss:StyleID="s192"><Data ss:Type="String">Supply</Data></Cell> + <Cell ss:StyleID="s323"><Data ss:Type="String">Shipping costs from plant x to warehouse y (at intersection):</Data></Cell> + <Cell ss:StyleID="s324"/> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s165"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s170"><Data ss:Type="String">S. Carolina</Data></Cell> + <Cell ss:StyleID="s171"><Data ss:Type="Number">310</Data><NamedCell + ss:Name="solver_rhs2"/></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">10</Data></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">8</Data></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">6</Data></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">5</Data></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">4</Data></Cell> + <Cell ss:StyleID="s169"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s170"><Data ss:Type="String">Tennessee</Data></Cell> + <Cell ss:StyleID="s175"><Data ss:Type="Number">260</Data><NamedCell + ss:Name="solver_rhs2"/></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">6</Data></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">5</Data></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">4</Data></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">3</Data></Cell> + <Cell ss:StyleID="s177"><Data ss:Type="Number">6</Data></Cell> + <Cell ss:StyleID="s169"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s170"><Data ss:Type="String">Arizona</Data></Cell> + <Cell ss:StyleID="s179"><Data ss:Type="Number">280</Data><NamedCell + ss:Name="solver_rhs2"/></Cell> + <Cell ss:StyleID="s194"><Data ss:Type="Number">3</Data></Cell> + <Cell ss:StyleID="s194"><Data ss:Type="Number">4</Data></Cell> + <Cell ss:StyleID="s194"><Data ss:Type="Number">5</Data></Cell> + <Cell ss:StyleID="s194"><Data ss:Type="Number">5</Data></Cell> + <Cell ss:StyleID="s194"><Data ss:Type="Number">9</Data></Cell> + <Cell ss:StyleID="s190"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s195"/> + <Cell ss:StyleID="s177"/> + <Cell ss:StyleID="s193"/> + <Cell ss:StyleID="s193"/> + <Cell ss:StyleID="s193"/> + <Cell ss:StyleID="s193"/> + <Cell ss:StyleID="s193"/> + <Cell ss:StyleID="s165"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s196"><Data ss:Type="String">Shipping:</Data></Cell> + <Cell ss:StyleID="s197" ss:Formula="=SUM(RC[1]:RC[5])"><Data ss:Type="Number">83</Data><NamedCell + ss:Name="solver_opt"/></Cell> + <Cell ss:StyleID="s198" + ss:Formula="=R[-12]C*R[-4]C+R[-11]C*R[-3]C+R[-10]C*R[-2]C"><Data + ss:Type="Number">19</Data></Cell> + <Cell ss:StyleID="s198" + ss:Formula="=R[-12]C*R[-4]C+R[-11]C*R[-3]C+R[-10]C*R[-2]C"><Data + ss:Type="Number">17</Data></Cell> + <Cell ss:StyleID="s198" + ss:Formula="=R[-12]C*R[-4]C+R[-11]C*R[-3]C+R[-10]C*R[-2]C"><Data + ss:Type="Number">15</Data></Cell> + <Cell ss:StyleID="s198" + ss:Formula="=R[-12]C*R[-4]C+R[-11]C*R[-3]C+R[-10]C*R[-2]C"><Data + ss:Type="Number">13</Data></Cell> + <Cell ss:StyleID="s198" + ss:Formula="=R[-12]C*R[-4]C+R[-11]C*R[-3]C+R[-10]C*R[-2]C"><Data + ss:Type="Number">19</Data></Cell> + <Cell ss:StyleID="s190"/> + </Row> + <Row ss:Height="12"/> + <Row ss:AutoFitHeight="0" ss:Height="14.25"> + <Cell ss:StyleID="s270"><Data ss:Type="String">The problem presented in this model involves the shipment of goods from three plants to five regional</Data></Cell> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s204"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">warehouses. Goods can be shipped from any plant to any warehouse, but it obviously costs more to</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">ship goods over long distances than over short distances. The problem is to determine the amounts</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">to ship from each plant to each warehouse at minimum shipping cost in order to meet the regional</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">demand, while not exceeding the plant supplies.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:StyleID="s21"> + <Cell ss:StyleID="s372"><Data ss:Type="String">Problem Specifications</Data></Cell> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s373"/> + <Cell ss:StyleID="s374"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:Height="12.75"> + <Cell ss:StyleID="s271"><Data ss:Type="String">Target cell</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">B20</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Goal is to minimize total shipping cost.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + <Cell ss:Index="11" ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">Changing cells</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">C8:G10</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Amount to ship from each plant to each </Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">warehouse.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">Constraints</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">B8:B10<=B16:B18</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Total shipped must be less than or equal to </Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">supply at plant.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">C12:G12>=C14:G14</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Totals shipped to warehouses must be greater</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">than or equal to demand at warehouses.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">C8:G10>=0</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Number to ship must be greater than or equal </Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell 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clicking </Font><B>Solve</B><Font>. A problem of this type has an optimum solution at which</Font></ss:Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">amounts to ship are integers, if all of the supply and demand constraints are integers.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s208"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s277"/> + <Cell ss:StyleID="s278"/> + </Row> + <Row ss:Height="11.25"/> + </Table> + <WorksheetOptions xmlns="urn:schemas-microsoft-com:office:excel"> + <PageSetup> + <Header x:Data="&F"/> + <Footer x:Data="Page &P"/> + </PageSetup> + <Print> + <ValidPrinterInfo/> + <HorizontalResolution>-4</HorizontalResolution> + <VerticalResolution>-4</VerticalResolution> + <NumberofCopies>0</NumberofCopies> + </Print> + <DoNotDisplayGridlines/> + <Panes> + <Pane> + <Number>3</Number> + <ActiveRow>94</ActiveRow> + </Pane> + </Panes> + <ProtectObjects>False</ProtectObjects> + <ProtectScenarios>False</ProtectScenarios> + </WorksheetOptions> + </Worksheet> + <Worksheet ss:Name="Staff Scheduling"> + <Names> + <NamedRange ss:Name="solver_adj" ss:RefersTo="='Staff Scheduling'!R7C4:R13C4" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_drv" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_est" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_itr" ss:RefersTo="=100" ss:Hidden="1"/> + <NamedRange ss:Name="solver_lhs1" ss:RefersTo="='Staff Scheduling'!R15C6:R15C12" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_lhs2" ss:RefersTo="='Staff Scheduling'!R7C4:R13C4" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_lhs3" ss:RefersTo="='Staff Scheduling'!R7C4:R13C4" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_lin" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_num" ss:RefersTo="=3" ss:Hidden="1"/> + <NamedRange ss:Name="solver_nwt" ss:RefersTo="=1" ss:Hidden="1"/> + <NamedRange ss:Name="solver_opt" ss:RefersTo="='Staff Scheduling'!R20C4" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_pre" ss:RefersTo="=0.000001" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rel1" ss:RefersTo="=3" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rel2" ss:RefersTo="=4" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rel3" ss:RefersTo="=3" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rhs1" ss:RefersTo="='Staff Scheduling'!R17C6:R17C12" + ss:Hidden="1"/> + <NamedRange ss:Name="solver_rhs2" ss:RefersTo="=Integer" ss:Hidden="1"/> + <NamedRange ss:Name="solver_rhs3" ss:RefersTo="=0" ss:Hidden="1"/> + <NamedRange ss:Name="solver_scl" ss:RefersTo="=0" ss:Hidden="1"/> + <NamedRange ss:Name="solver_sho" ss:RefersTo="=0" ss:Hidden="1"/> + <NamedRange ss:Name="solver_tim" ss:RefersTo="=100" ss:Hidden="1"/> + <NamedRange ss:Name="solver_tmp" ss:RefersTo="=0" ss:Hidden="1"/> + <NamedRange ss:Name="solver_tol" ss:RefersTo="=0.05" ss:Hidden="1"/> + <NamedRange ss:Name="solver_typ" ss:RefersTo="=2" ss:Hidden="1"/> + <NamedRange ss:Name="solver_val" ss:RefersTo="=0" ss:Hidden="1"/> + </Names> + <Table ss:ExpandedColumnCount="17" ss:ExpandedRowCount="47" x:FullColumns="1" + x:FullRows="1"> + <Column ss:AutoFitWidth="0" ss:Width="38.25"/> + <Column ss:Index="3" ss:AutoFitWidth="0" ss:Width="41.25"/> + <Column ss:AutoFitWidth="0" ss:Width="51.75"/> + <Column ss:AutoFitWidth="0" ss:Width="14.25"/> + <Column ss:AutoFitWidth="0" ss:Width="27"/> + <Column ss:AutoFitWidth="0" ss:Width="28.5"/> + <Column ss:AutoFitWidth="0" ss:Width="27"/> + <Column ss:AutoFitWidth="0" ss:Width="30"/> + <Column ss:AutoFitWidth="0" ss:Width="27"/> + <Column ss:AutoFitWidth="0" ss:Width="21"/> + <Column ss:AutoFitWidth="0" ss:Width="24.75"/> + <Column ss:AutoFitWidth="0" ss:Width="17.25"/> + <Column ss:AutoFitWidth="0" ss:Width="15.75"/> + <Column ss:AutoFitWidth="0" ss:Width="40.5"/> + <Column ss:AutoFitWidth="0" ss:Width="41.25"/> + <Column ss:AutoFitWidth="0" ss:Width="30.75"/> + <Row ss:AutoFitHeight="0" ss:Height="14.25"> + <Cell ss:StyleID="s27"><Data ss:Type="String">Example 3: Personnel scheduling for an Amusement Park.</Data></Cell> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="12"> + <Cell ss:StyleID="s325"><Data ss:Type="String">For employees working five consecutive days with two days off, find the schedule that meets demand</Data></Cell> + <Cell ss:StyleID="s29"/> + <Cell ss:StyleID="s29"/> + <Cell ss:StyleID="s29"/> + <Cell ss:StyleID="s29"/> + <Cell ss:StyleID="s29"/> + <Cell ss:StyleID="s29"/> + <Cell ss:StyleID="s29"/> + <Cell ss:StyleID="s29"/> + <Cell ss:StyleID="s29"/> + <Cell ss:StyleID="s29"/> + <Cell ss:StyleID="s30"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="10.5"> + <Cell ss:StyleID="s326"><Data ss:Type="String">from attendance levels while minimizing payroll costs.</Data></Cell> + <Cell ss:StyleID="s31"/> + <Cell ss:StyleID="s31"/> + <Cell ss:StyleID="s31"/> + <Cell ss:StyleID="s31"/> + <Cell ss:StyleID="s31"/> + <Cell ss:StyleID="s31"/> + <Cell ss:StyleID="s31"/> + <Cell ss:StyleID="s31"/> + <Cell ss:StyleID="s31"/> + <Cell ss:StyleID="s31"/> + <Cell ss:StyleID="s32"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"/> + <Row ss:Height="14.25"> + <Cell ss:StyleID="s33"><Data ss:Type="String">Sch.</Data></Cell> + <Cell ss:StyleID="s315"><Data ss:Type="String"> Days off</Data></Cell> + <Cell ss:StyleID="s34"/> + <Cell ss:StyleID="s307"><Data ss:Type="String">Employees</Data></Cell> + <Cell ss:StyleID="s307"/> + <Cell ss:StyleID="s307"><Data ss:Type="String">Sun</Data></Cell> + <Cell ss:StyleID="s307"><Data ss:Type="String">Mon</Data></Cell> + <Cell ss:StyleID="s307"><Data ss:Type="String">Tue</Data></Cell> + <Cell ss:StyleID="s307"><Data ss:Type="String">Wed</Data></Cell> + <Cell ss:StyleID="s307"><Data ss:Type="String">Thu</Data></Cell> + <Cell ss:StyleID="s307"><Data 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<Cell ss:StyleID="s305"><Data ss:Type="Number">0</Data></Cell> + <Cell ss:StyleID="s305"><Data ss:Type="Number">0</Data></Cell> + <Cell ss:StyleID="s305"><Data ss:Type="Number">1</Data></Cell> + <Cell ss:StyleID="s308"><Data ss:Type="Number">1</Data></Cell> + <Cell ss:Index="14" ss:StyleID="s294"/> + <Cell ss:StyleID="s146"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Changing cells</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="12"> + <Cell ss:StyleID="s319"><Data ss:Type="String"> E</Data></Cell> + <Cell ss:StyleID="s316"><Data ss:Type="String">Thursday, Friday</Data></Cell> + <Cell ss:StyleID="s317"/> + <Cell ss:StyleID="s313"><Data ss:Type="Number">6</Data><NamedCell + ss:Name="solver_lhs3"/><NamedCell ss:Name="solver_lhs2"/><NamedCell + ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s311"/> + <Cell ss:StyleID="s305"><Data ss:Type="Number">1</Data></Cell> + <Cell ss:StyleID="s305"><Data ss:Type="Number">1</Data></Cell> + <Cell 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ss:Name="solver_lhs1"/></Cell> + <Cell ss:StyleID="s42" + ss:Formula="=R7C4*R[-8]C+R8C4*R[-7]C+R9C4*R[-6]C+R10C4*R[-5]C+R11C4*R[-4]C+R12C4*R[-3]C+R13C4*R[-2]C"><Data + ss:Type="Number">20</Data><NamedCell ss:Name="solver_lhs1"/></Cell> + <Cell ss:StyleID="s42" + ss:Formula="=R7C4*R[-8]C+R8C4*R[-7]C+R9C4*R[-6]C+R10C4*R[-5]C+R11C4*R[-4]C+R12C4*R[-3]C+R13C4*R[-2]C"><Data + ss:Type="Number">22</Data><NamedCell ss:Name="solver_lhs1"/></Cell> + <Cell ss:StyleID="s43" + ss:Formula="=R7C4*R[-8]C+R8C4*R[-7]C+R9C4*R[-6]C+R10C4*R[-5]C+R11C4*R[-4]C+R12C4*R[-3]C+R13C4*R[-2]C"><Data + ss:Type="Number">28</Data><NamedCell ss:Name="solver_lhs1"/></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s44"/> + <Cell ss:StyleID="s40"/> + <Cell ss:StyleID="s40"/> + <Cell ss:StyleID="s40"/> + <Cell ss:StyleID="s40"/> + <Cell ss:StyleID="s40"/> + <Cell ss:StyleID="s40"/> + <Cell ss:StyleID="s40"/> + <Cell ss:StyleID="s40"/> + <Cell ss:StyleID="s40"/> + </Row> + <Row ss:Height="14.25"> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s39"><Data ss:Type="String">Total Demand:</Data></Cell> + <Cell ss:Index="6" ss:StyleID="s41"><Data ss:Type="Number">22</Data><NamedCell + ss:Name="solver_rhs1"/></Cell> + <Cell ss:StyleID="s42"><Data ss:Type="Number">17</Data><NamedCell + ss:Name="solver_rhs1"/></Cell> + <Cell ss:StyleID="s42"><Data ss:Type="Number">13</Data><NamedCell + ss:Name="solver_rhs1"/></Cell> + <Cell ss:StyleID="s42"><Data ss:Type="Number">14</Data><NamedCell + ss:Name="solver_rhs1"/></Cell> + <Cell ss:StyleID="s42"><Data ss:Type="Number">15</Data><NamedCell + ss:Name="solver_rhs1"/></Cell> + <Cell ss:StyleID="s42"><Data ss:Type="Number">18</Data><NamedCell + ss:Name="solver_rhs1"/></Cell> + <Cell ss:StyleID="s43"><Data ss:Type="Number">24</Data><NamedCell + ss:Name="solver_rhs1"/></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:Index="2" ss:StyleID="s28"/> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + </Row> + <Row ss:Height="13.5"> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s45"><Data ss:Type="String">Pay/Employee/Day:</Data></Cell> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s46"><Data ss:Type="Number">40</Data></Cell> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + </Row> + <Row ss:Height="14.25"> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s45"><Data ss:Type="String">Payroll/Week:</Data></Cell> + <Cell ss:StyleID="s28"/> + <Cell ss:StyleID="s47" ss:Formula="=R[-5]C*R[-1]C"><Data ss:Type="Number">1280</Data><NamedCell + ss:Name="solver_opt"/></Cell> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s48"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + <Cell ss:StyleID="s38"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"/> + <Row ss:AutoFitHeight="0" ss:Height="14.25"> + <Cell ss:StyleID="s270"><Data ss:Type="String">The goal for this model is to schedule employees so that you have sufficient staff at the lowest cost. In</Data></Cell> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s204"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="10.5"> + <Cell ss:StyleID="s271"><Data ss:Type="String">this example, all employees are paid at the same rate, so by minimizing the number of employees working</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="10.5"> + <Cell ss:StyleID="s271"><Data ss:Type="String">each day, you also minimize costs. 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ss:Formula="=R[7]C[-1]"><Data ss:Type="Number">216000</Data></Cell> + <Cell ss:StyleID="s330" ss:Formula="=R[7]C[-1]"><Data ss:Type="Number">237000</Data></Cell> + <Cell ss:StyleID="s330" ss:Formula="=R[7]C[-1]"><Data ss:Type="Number">158400</Data></Cell> + <Cell ss:StyleID="s330" ss:Formula="=R[7]C[-1]"><Data ss:Type="Number">109400</Data></Cell> + <Cell ss:StyleID="s331" ss:Formula="=R[7]C[-1]"><Data ss:Type="Number">125400</Data></Cell> + <Cell ss:Index="10" ss:StyleID="s294"/> + <Cell ss:StyleID="s295"/> + <Cell ss:StyleID="s295"/> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s344"><Data ss:Type="String">Matur CDs:</Data></Cell> + <Cell ss:StyleID="s332"/> + <Cell ss:StyleID="s332" ss:Formula="=R[2]C[-1]"><Data ss:Type="Number">100000</Data></Cell> + <Cell ss:StyleID="s332" ss:Formula="=R[2]C[-1]"><Data ss:Type="Number">100000</Data></Cell> + <Cell ss:StyleID="s332" ss:Formula="=R[2]C[-1]+R[3]C[-3]"><Data + ss:Type="Number">110000</Data></Cell> + <Cell ss:StyleID="s332" ss:Formula="=R[2]C[-1]"><Data ss:Type="Number">100000</Data></Cell> + <Cell ss:StyleID="s332" ss:Formula="=R[2]C[-1]"><Data ss:Type="Number">100000</Data></Cell> + <Cell ss:StyleID="s333" ss:Formula="=R[2]C[-1]+R[3]C[-3]+R[4]C[-6]"><Data + ss:Type="Number">120000</Data></Cell> + <Cell ss:Index="10" ss:StyleID="s294"/> + <Cell ss:StyleID="s197"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Target cell</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s344"><Data ss:Type="String">Interest:</Data></Cell> + <Cell ss:StyleID="s334"/> + <Cell ss:StyleID="s334" ss:Formula="=R[1]C[-1]*R6C2"><Data ss:Type="Number">1000</Data></Cell> + <Cell ss:StyleID="s334" ss:Formula="=R[1]C[-1]*R6C2"><Data ss:Type="Number">1000</Data></Cell> + <Cell ss:StyleID="s334" ss:Formula="=R[1]C[-1]*R6C2+R[2]C[-3]*R7C2"><Data + ss:Type="Number">1400</Data></Cell> + <Cell ss:StyleID="s334" ss:Formula="=R[1]C[-1]*R6C2"><Data ss:Type="Number">1000</Data></Cell> + <Cell ss:StyleID="s334" ss:Formula="=R[1]C[-1]*R6C2"><Data ss:Type="Number">1000</Data></Cell> + <Cell ss:StyleID="s333" + ss:Formula="=R[1]C[-1]*R6C2+R[2]C[-3]*R7C2+R[3]C[-6]*R8C2"><Data + ss:Type="Number">2300</Data></Cell> + <Cell ss:Index="10" ss:StyleID="s294"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s344"><Data ss:Type="String">1-mo CDs:</Data></Cell> + <Cell ss:StyleID="s145" ss:Formula="=100000"><Data ss:Type="Number">100000</Data><NamedCell + ss:Name="solver_lhs5"/><NamedCell ss:Name="solver_lhs1"/><NamedCell + ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s340" ss:Formula="=100000"><Data ss:Type="Number">100000</Data><NamedCell + ss:Name="solver_lhs5"/><NamedCell ss:Name="solver_lhs1"/><NamedCell + ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s340" ss:Formula="=100000"><Data ss:Type="Number">100000</Data><NamedCell + ss:Name="solver_lhs5"/><NamedCell ss:Name="solver_lhs1"/><NamedCell + ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s340" ss:Formula="=100000"><Data ss:Type="Number">100000</Data><NamedCell + ss:Name="solver_lhs5"/><NamedCell ss:Name="solver_lhs1"/><NamedCell + ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s340" ss:Formula="=100000"><Data ss:Type="Number">100000</Data><NamedCell + ss:Name="solver_lhs5"/><NamedCell ss:Name="solver_lhs1"/><NamedCell + ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s341" ss:Formula="=100000"><Data ss:Type="Number">100000</Data><NamedCell + ss:Name="solver_lhs5"/><NamedCell ss:Name="solver_lhs1"/><NamedCell + ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s336"/> + <Cell ss:Index="10" ss:StyleID="s294"/> + <Cell ss:StyleID="s146"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Changing cells</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s344"><Data ss:Type="String">3-mo CDs:</Data></Cell> + <Cell ss:StyleID="s146"><Data ss:Type="Number">10000</Data><NamedCell + ss:Name="solver_lhs6"/><NamedCell ss:Name="solver_lhs2"/><NamedCell + ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s144"/> + <Cell ss:StyleID="s334"/> + <Cell ss:StyleID="s146"><Data ss:Type="Number">10000</Data><NamedCell + ss:Name="solver_lhs7"/><NamedCell ss:Name="solver_lhs3"/><NamedCell + ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s144"/> + <Cell ss:StyleID="s334"/> + <Cell ss:StyleID="s335"/> + <Cell ss:Index="10" ss:StyleID="s294"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s297"/> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s344"><Data ss:Type="String">6-mo CDs:</Data></Cell> + <Cell ss:StyleID="s146"><Data ss:Type="Number">10000</Data><NamedCell + ss:Name="solver_lhs6"/><NamedCell ss:Name="solver_lhs2"/><NamedCell + ss:Name="solver_adj"/></Cell> + <Cell ss:StyleID="s337"/> + <Cell ss:StyleID="s338"/> + <Cell ss:StyleID="s338"/> + <Cell ss:StyleID="s338"/> + <Cell ss:StyleID="s338"/> + <Cell ss:StyleID="s339"/> + <Cell ss:Index="10" ss:StyleID="s294"/> + <Cell ss:StyleID="s304"/> + <Cell ss:StyleID="s297"><Data ss:Type="String"> Constraints</Data></Cell> + <Cell ss:StyleID="s296"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s344"><Data ss:Type="String">Cash Uses:</Data></Cell> + <Cell ss:StyleID="s334"><Data ss:Type="Number">75000</Data></Cell> + <Cell ss:StyleID="s334"><Data ss:Type="Number">-10000</Data></Cell> + <Cell ss:StyleID="s334"><Data ss:Type="Number">-20000</Data></Cell> + <Cell ss:StyleID="s334"><Data ss:Type="Number">80000</Data></Cell> + <Cell ss:StyleID="s334"><Data ss:Type="Number">50000</Data></Cell> + <Cell ss:StyleID="s334"><Data ss:Type="Number">-15000</Data></Cell> + <Cell ss:StyleID="s335"><Data ss:Type="Number">60000</Data></Cell> + <Cell ss:Index="10" ss:StyleID="s298"/> + <Cell ss:StyleID="s299"/> + <Cell ss:StyleID="s299"/> + <Cell ss:StyleID="s300"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s147"><Data ss:Type="String">End Cash:</Data></Cell> + <Cell ss:StyleID="s148" ss:Formula="=SUM(R[-7]C:R[-5]C)-SUM(R[-4]C:R[-1]C)"><Data + ss:Type="Number">205000</Data><NamedCell ss:Name="solver_lhs8"/><NamedCell + ss:Name="solver_lhs4"/></Cell> + <Cell ss:StyleID="s342" ss:Formula="=SUM(R[-7]C:R[-5]C)-SUM(R[-4]C:R[-1]C)"><Data + ss:Type="Number">216000</Data><NamedCell ss:Name="solver_lhs8"/><NamedCell + ss:Name="solver_lhs4"/></Cell> + <Cell ss:StyleID="s342" ss:Formula="=SUM(R[-7]C:R[-5]C)-SUM(R[-4]C:R[-1]C)"><Data + ss:Type="Number">237000</Data><NamedCell ss:Name="solver_lhs8"/><NamedCell + ss:Name="solver_lhs4"/></Cell> + <Cell ss:StyleID="s342" ss:Formula="=SUM(R[-7]C:R[-5]C)-SUM(R[-4]C:R[-1]C)"><Data + ss:Type="Number">158400</Data><NamedCell ss:Name="solver_lhs8"/><NamedCell + ss:Name="solver_lhs4"/></Cell> + <Cell ss:StyleID="s342" ss:Formula="=SUM(R[-7]C:R[-5]C)-SUM(R[-4]C:R[-1]C)"><Data + ss:Type="Number">109400</Data><NamedCell ss:Name="solver_lhs8"/><NamedCell + ss:Name="solver_lhs4"/></Cell> + <Cell ss:StyleID="s342" ss:Formula="=SUM(R[-7]C:R[-5]C)-SUM(R[-4]C:R[-1]C)"><Data + ss:Type="Number">125400</Data><NamedCell ss:Name="solver_lhs8"/><NamedCell + ss:Name="solver_lhs4"/></Cell> + <Cell ss:StyleID="s343" ss:Formula="=SUM(R[-7]C:R[-5]C)-SUM(R[-4]C:R[-1]C)"><Data + ss:Type="Number">187700</Data><NamedCell ss:Name="solver_lhs8"/><NamedCell + ss:Name="solver_lhs4"/></Cell> + </Row> + <Row ss:Index="20"> + <Cell ss:Index="2" + ss:Formula="=1*R[-6]C+3*R[-5]C+6*R[-4]C-4*SUM(R[-6]C:R[-4]C)"><Data + ss:Type="Number">-290000</Data></Cell> + <Cell ss:Index="4" ss:StyleID="s149"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"/> + <Row ss:AutoFitHeight="0" ss:Height="14.25"> + <Cell ss:StyleID="s270"><Data ss:Type="String">If you're a financial officer or a manager, one of your tasks is to manage cash and short-term investments in a</Data></Cell> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s204"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">way that maximizes interest income, while keeping funds available to meet expenditures. You must trade off</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">the higher interest rates available from longer-term investments against the flexibility provided by keeping funds</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">in short-term investments.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">This model calculates ending cash based on initial cash (from the previous month), inflows from maturing</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">certificates of deposit (CDs), outflows for new CDs, and cash needed for company operations for each month.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">You have a total of nine decisions to make: the amounts to invest in one-month CDs in months 1 through 6;</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">the amounts to invest in three-month CDs in months 1 and 4; and the amount to invest in six-month CDs in</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">month 1.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:StyleID="s21"> + <Cell ss:StyleID="s384"><Data ss:Type="String">Problem Specifications</Data></Cell> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s386"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"><Data ss:Type="String">Target cell</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">H8</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Goal is to maximize interest earned.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"><Data ss:Type="String">Changing cells</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">B14:G14</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Dollars invested in each type of CD.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">B15, E15, B16</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"><Data ss:Type="String">Constraints</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">B14:G14>=0</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Investment in each type of CD must be greater than</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">B15:B16>=0</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">or equal to 0.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">E15>=0</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">B18:H18>=100000</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">Ending cash must be greater than or equal to</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s279"><Data ss:Type="String">$100,000.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"><Data ss:Type="String">The optimal solution determined by Solver earns a total interest income of $16,531 by investing as much as</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"><Data ss:Type="String">possible in six-month and three-month CDs, and then turns to one-month CDs. This solution satisfies all of the</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"><Data ss:Type="String">constraints.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"><Data ss:Type="String">Suppose, however, that you want to guarantee that you have enough cash in month 5 for an equipment</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"><Data ss:Type="String">payment. Add a constraint that the average maturity of the investments held in month 1 should not be more</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s291"><Data ss:Type="String">than four months.</Data></Cell> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s291"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s275"/> + <Cell ss:StyleID="s276"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">The formula in cell B20 computes a total of the amounts invested in month 1 (B14, B15, and B16), weighted</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">by the maturities (1, 3, and 6 months), and then it subtracts from this amount the total investment, weighted by</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">4. If this quantity is zero or less, the average maturity will not exceed four months. To add this constraint,</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">restore the original values and then click <B>Solver</B><Font> on the </Font><B>Tools</B><Font> menu. Click </Font><B>Add</B><Font>. Type </Font><B>b20</B><Font> in the </Font><B>Cell</B><Font> </Font></ss:Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s383"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40"><B>Reference</B><Font> box, type </Font><B>0</B><Font> in the </Font><B>Constraint</B><Font> box, and then click </Font><B>OK</B><Font>. To solve the problem, click </Font><B>Solve</B><Font>.</Font></ss:Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">To satisfy the four-month maturity constraint, Solver shifts funds from six-month CDs to three-month CDs. The</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">shifted funds now mature in month 4 and, according to the present plan, are reinvested in new three-month </Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">CDs. If you need the funds, however, you can keep the cash instead of reinvesting. The $56,896 turning</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row> + <Cell ss:StyleID="s271"><Data ss:Type="String">over in month 4 is more than sufficient for the equipment payment in month 5. 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This worksheet uses the Sharpe single-index model; you</Data></Cell> + <Cell ss:StyleID="s81"/> + <Cell ss:StyleID="s81"/> + <Cell ss:StyleID="s81"/> + <Cell ss:StyleID="s81"/> + <Cell ss:StyleID="s81"/> + <Cell ss:StyleID="s81"/> + <Cell ss:StyleID="s82"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s83"><Data ss:Type="String">can also use the Markowitz method if you have covariance terms available.</Data></Cell> + <Cell ss:StyleID="s84"/> + <Cell ss:StyleID="s84"/> + <Cell ss:StyleID="s84"/> + <Cell ss:StyleID="s84"/> + <Cell ss:StyleID="s84"/> + <Cell ss:StyleID="s84"/> + <Cell ss:StyleID="s85"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="8.0625"/> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s86"><Data ss:Type="String">Risk-free rate</Data></Cell> + <Cell ss:StyleID="s78"/> + <Cell ss:StyleID="s87"><Data ss:Type="Number">0.06</Data></Cell> + <Cell ss:StyleID="s78"/> + <Cell ss:StyleID="s88"><Data ss:Type="String">Market variance</Data></Cell> + <Cell ss:StyleID="s78"/> + <Cell ss:StyleID="s89"><Data ss:Type="Number">0.03</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s90"><Data ss:Type="String">Market rate</Data></Cell> + <Cell ss:StyleID="s84"/> + <Cell ss:StyleID="s91"><Data ss:Type="Number">0.15</Data></Cell> + <Cell ss:StyleID="s84"/> + <Cell ss:StyleID="s92"><Data ss:Type="String">Maximum weight</Data></Cell> + <Cell ss:StyleID="s84"/> + <Cell ss:StyleID="s93"><Data ss:Type="Number">1</Data></Cell> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="8.0625"/> + <Row ss:AutoFitHeight="0" ss:Height="11.25"> + <Cell ss:StyleID="s94"/> + <Cell ss:StyleID="s95"><Data ss:Type="String">Beta</Data></Cell> + <Cell ss:StyleID="s95"><Data ss:Type="String">ResVar</Data></Cell> + <Cell ss:StyleID="s96"/> + <Cell ss:StyleID="s97"><Data ss:Type="String">Weight</Data></Cell> + <Cell ss:StyleID="s97"><Data ss:Type="String">*Beta</Data></Cell> + <Cell ss:StyleID="s98"><Data 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<Cell ss:StyleID="s347" ss:Formula="=R16C5=1"><Data ss:Type="Boolean">1</Data></Cell> + <Cell ss:StyleID="s118"/> + <Cell ss:StyleID="s118"/> + <Cell ss:StyleID="s118"/> + </Row> + <Row ss:Height="11.25"> + <Cell ss:StyleID="s348" ss:Formula="=R18C7<=0.071"><Data ss:Type="Boolean">1</Data></Cell> + <Cell ss:StyleID="s118"/> + <Cell ss:StyleID="s118"/> + <Cell ss:StyleID="s349" ss:Formula="=R18C5>=0.164"><Data ss:Type="Boolean">1</Data></Cell> + <Cell ss:StyleID="s118"/> + <Cell ss:StyleID="s118"/> + <Cell ss:StyleID="s118"/> + </Row> + <Row ss:Height="12"/> + <Row ss:AutoFitHeight="0" ss:Height="14.25"> + <Cell ss:StyleID="s270"><Data ss:Type="String">One of the basic principles of investment management is diversification. By holding a portfolio of several</Data></Cell> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s203"/> + <Cell ss:StyleID="s204"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">stocks, for example, you can earn a rate of return that represents the average of the returns from the</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">individual stocks, while reducing your risk that any one stock will perform poorly.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">Using this model, you can use Solver to find the allocation of funds to stocks that minimizes the portfolio</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">risk for a given rate of return, or that maximizes the rate of return for a given level of risk.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">This worksheet contains figures for beta (market-related risk) and residual variance for four stocks. In</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">addition, your portfolio includes investments in Treasury bills (T-bills), assumed to have a risk-free rate of</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">return and a variance of zero. Initially equal amounts (20 percent of the portfolio) are invested in each</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">security.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">Use Solver to try different allocations of funds to stocks and T-bills to either maximize the portfolio rate of</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">return for a specified level of risk or minimize the risk for a given rate of return. With the initial allocation</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">of 20 percent across the board, the portfolio return is 16.4 percent and the variance is 7.1 percent.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:StyleID="s21"> + <Cell ss:StyleID="s384"><Data ss:Type="String">Problem Specifications</Data></Cell> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s385"/> + <Cell ss:StyleID="s386"/> + <Cell ss:StyleID="Default"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">Target cell</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">E18</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Goal is to maximize portfolio return.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">Changing cells</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">E10:E14</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Weight of each stock.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">Constraints</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">E10:E14>=0</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Weights must be greater than or equal to 0.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">E16=1</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Weights must equal 1.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">G18<=0.071</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">Variance must be less than or equal to 0.071.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">Beta for each stock</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">B10:B13</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">Variance for each stock</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s382"><Data ss:Type="String">C10:C13</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">Cells D21:D29 contain the problem specifications to minimize risk for a required rate of return of 16.4</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">percent. To load these problem specifications into Solver, click <B>Solver</B><Font> on the </Font><B>Tools</B><Font> menu, click </Font></ss:Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s383"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40"><B>Options</B><Font>, click </Font><B>Load Model</B><Font>, select cells D21:D29 on the worksheet, and then click </Font><B>OK</B><Font> until the</Font></ss:Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s383"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40"><B>Solver Parameters</B><Font> dialog box is displayed. Click </Font><B>Solve</B><Font>. As you can see, Solver finds portfolio</Font></ss:Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">allocations in both cases that surpass the rule of 20 percent across the board.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">You can earn a higher rate of return (17.1 percent) for the same risk, or you can reduce your risk without</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">giving up any return. These two allocations both represent efficient portfolios.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><ss:Data ss:Type="String" + xmlns="http://www.w3.org/TR/REC-html40">Cells A21:A29 contain the original problem model. 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With the switch in the left position, the battery charges the capacitor. When the switch</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">is thrown to the right, the capacitor discharges through the inductor and the resistor, both of</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">which dissipate electrical energy.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">Using Kirchhoff's second law, you can formulate and solve a differential equation to determine</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">how the charge on the capacitor varies over time. The formula relates the charge q[t] at time t</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0"> + <Cell ss:StyleID="s271"><Data ss:Type="String">to the inductance L, resistance R, and capacitance C of the circuit elements.</Data></Cell> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s207"/> + <Cell ss:StyleID="Default"/> + </Row> + <Row ss:AutoFitHeight="0" ss:Height="5.25"> + <Cell ss:StyleID="s271"/> + <Cell ss:StyleID="s206"/> + <Cell ss:StyleID="s206"/> 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