Question
Consider the case of an unusual individual whose preferences for labor and leisure can be summarized by the following utility function: U = 2C +
Consider the case of an unusual individual whose preferences for labor and leisure can be summarized by the following utility function:
U = 2C + 18 L
a. Suppose that this individual is initially at 20 hours of leisure per week. What is the marginal utility of an additional hour of leisure (MUL)? Would your answer be different if the individual started at 5 hours of leisure? Why or why not? Show your work (math - you do not need to graph yet).
b. Repeat part (a), but instead of MUL, answer each question for MRS.
c. Sketch out a set of indifference curves associated with this utility function.
d. If the market wage rate available to this person is the federal minimum wage (you look it up), then how many hours will he choose to work and how much will he consume? How do you know? Complete a sketch from (c) to illustrate your answer.
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