7. LO 2, 4 Suppose that a consumer can earn a higher wage rate for working overtime. That is, for the first q hours the consumer works, he or she receives a real wage rate of w, and for hours worked more than q he or she receives w, where W2>W1. Suppose that the consumer pays no taxes and receives no nonwage income, and he or she is free to choose hours of work. (a) Draw the consumer's budget constraint, and show his or her optimal choice of consump- tion and leisure (b) Show that the consumer would never work hours, or anything very close to q Explain the intuition behind this. (c) Determine what hours. happens if the overtime wage rate w2 increases. Explain your results in terms of income and substitution effects. You must consider the case of a worker who initially works overtime, and a worker who initially does not work overtime.
7. LO 2, 4 Suppose that a consumer can earn a higher wage rate for working overtime. That is, for the first q hours the consumer works, he or she receives a real wage rate of w, and for hours worked more than q he or she receives w, where W2>W1. Suppose that the consumer pays no taxes and receives no nonwage income, and he or she is free to choose hours of work. (a) Draw the consumer's budget constraint, and show his or her optimal choice of consump- tion and leisure (b) Show that the consumer would never work hours, or anything very close to q Explain the intuition behind this. (c) Determine what hours. happens if the overtime wage rate w2 increases. Explain your results in terms of income and substitution effects. You must consider the case of a worker who initially works overtime, and a worker who initially does not work overtime.
Brief Principles of Macroeconomics (MindTap Course List)
8th Edition
ISBN:9781337091985
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter10: Unemployment
Section: Chapter Questions
Problem 10PA
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