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Assuming the price of \ consumption is p = 1.0 and the endowment of income is M, the consumer has an \ initial endowment of consumption of ", Cell[BoxData[ \(TraditionalForm\`C\&_\)]], " = M/p . The endowment of leisure is ", Cell[BoxData[ \(TraditionalForm\`R\&_\)]], ". Since it is always possible for the consumer to just consume at the \ endowment point, the budget line pivots through the endowment point, (", Cell[BoxData[ \(TraditionalForm\`R\&_\)]], ",", Cell[BoxData[ \(TraditionalForm\`\(\ C\&_\)\)]], "). Since it is impossible to consume more than the initial endowment of \ leisure, this is a problem of consumer choice with a rationing constraitnt; \ that is, the portion of the budget line to the right of R = ", Cell[BoxData[ \(TraditionalForm\`R\&_\)]], " is unavailable to the consumer. As the wage rate increases the buget \ line, which has a slope of -(w+1), becomes steeper. The leisure demand \ curve is obtained in the lower quadrant by combining the optimal leisure \ choice wage rate. The labor supply curve is obtained by simply subtracting \ the amount of leisure demanded from the endowment of leisure time. This is \ done in the lower-left quadrant. The lower-right quadrant converts the labor \ supply to the horizontal axis (so that it is in the proper configuration for \ the labor supply curve). The labor supply curve appears in the right-center \ quadrant.\n\nIt is natural to assume leisure is a normal good. Since the \ rationing constraint inplicit in the leisure-consumption choice problem \ forces the consumer to be a net seller of leisure, the income effect will \ always be the opposite sign of the substitution effect. The case depicted in \ this animation is the one in which the income effect eventually dominates the \ substitution effect, with the result that the leisure demand and labor supply \ curves bend back on themselves." }], "Text"], Cell[CellGroupData[{ Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1.47644 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.47619 0.0351533 0.47619 [ [ 0 0 0 0 ] [ 1 1.47644 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 1.47644 L 0 1.47644 L closepath clip newpath % Start of sub-graphic p 0.0238095 0.0351533 0.522438 0.533782 MathSubStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0 0.0166667 0 0.0166667 [ [.83333 -0.0125 -7.5 -15 ] [.83333 -0.0125 7.5 0 ] [.58333 -0.0125 -5.5 -15 ] 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