An individual has utility function over income m and


An individual has utility function over income (M) and leisure (L) of U(M,L) = M·L2.  The amount of non-labor income is Y, and the individual has T hours available for work or leisure.

a. Write an expression for the budget constraint, and show it in a graph.

b. Derive labor supply as a function of w, T, and Y. 

c. Is labor supply increasing or decreasing in w?

d. Suppose T = 16, and Y = 10.  What is the person's reservation wage

 

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Microeconomics: An individual has utility function over income m and
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