(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 2271512, 55898]*) (*NotebookOutlinePosition[ 2272200, 55922]*) (* CellTagsIndexPosition[ 2272156, 55918]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Average and marginal products of labor ", "Subsubsection"], Cell[TextData[{ "This animation shows how the average product of labor (", Cell[BoxData[ \(TraditionalForm\`\(\(AP\_L)\)\ \)\)]], "and the marginal product of labor (", Cell[BoxData[ \(TraditionalForm\`\(\(MP\_L)\)\ \)\)]], "are related to the short run production function (Q = F(L,", Cell[BoxData[ \(TraditionalForm\`K\&_\)]], ") ). Since ", Cell[BoxData[ \(TraditionalForm\`AP\_L\)]], "= ", Cell[BoxData[ \(TraditionalForm\`Q\/L\)]], ", Q = ", Cell[BoxData[ \(TraditionalForm\`AP\_L\)]], "\[Times]L. This means ", Cell[BoxData[ \(TraditionalForm\`AP\_L\)]], " has the geometric interpretation of being the slope of a line from the \ origin up to the short run production function. This ray is shown in purple \ in the upper quadrant and the ", Cell[BoxData[ \(TraditionalForm\`AP\_L\)]], " is shown in purple in the lower quadrant. Similarly, since ", Cell[BoxData[ \(TraditionalForm\`MP\_L\)]], " =", Cell[BoxData[ \(TraditionalForm\`\(\ \[CapitalDelta]Q\/\[CapitalDelta]L\)\)]], ", the marginal product of labor is the slope of a line tangent to the \ short run production function. The tangent line is shown in red in the upper \ quadrant and the marginal product of labor is shown in red in the lower \ quadrant. 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