The representative consumer has the preferences such that she wants to consume the consumption good, c, and the leisure, I, in fixed proportions: c=0.51. She has h hours of time available which she can allocate between work and leisure. For each hour of work, she earns w units of consumption good. She also earns a units of consumptions goods as dividend (profit) income. She has to pay T units of goods to the government as a lump-sum tax. Solve for the c and I that maximize the utility of the consumer.
The representative consumer has the preferences such that she wants to consume the consumption good, c, and the leisure, I, in fixed proportions: c=0.51. She has h hours of time available which she can allocate between work and leisure. For each hour of work, she earns w units of consumption good. She also earns a units of consumptions goods as dividend (profit) income. She has to pay T units of goods to the government as a lump-sum tax. Solve for the c and I that maximize the utility of the consumer.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:4.
The representative consumer has the preferences such that she wants to
consume the consumption good, c, and the leisure, I, in fixed proportions:
c = 0.51.
She has h hours of time available which she can allocate between work and leisure. For
each hour of work, she earns w units of consumption good. She also earns 7 units of
consumptions goods as dividend (profit) income. She has to pay T units of goods to the
government as a lump-sum tax. Solve for the c and I that maximize the utility of the
consumer.
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