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.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text: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.
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