1. -- ) and leisure ( L), U = CL². The wage rate is $20 per hour, the price of consumption is $10 per unit, and the consumer's non-labor income is $60. The time endowment of the consumer is 24 hours. I Consider a consumer who has the following utility function of consumption (C (1).( ) What's the utility-maximizing choice of consumption and leisure? (2).( Show that at that choice, the marginal rate of substitution between consumption and leisure is equal to the real wage.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter16: Labor Markets
Section: Chapter Questions
Problem 16.2P
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I Consider a consumer who has the following utility function of consumption ( C
1. --
) and leisure ( L ), U = CL?. The wage rate is $20 per hour, the price of consumption is
$10 per unit, and the consumer's non-labor income is $60. The time endowment of the
consumer is 24 hours.
(1).(
) What's the utility-maximizing choice of consumption and leisure?
(2).(
Show that at that choice, the marginal rate of substitution between
consumption and leisure is equal to the real wage.
Transcribed Image Text:I Consider a consumer who has the following utility function of consumption ( C 1. -- ) and leisure ( L ), U = CL?. The wage rate is $20 per hour, the price of consumption is $10 per unit, and the consumer's non-labor income is $60. The time endowment of the consumer is 24 hours. (1).( ) What's the utility-maximizing choice of consumption and leisure? (2).( Show that at that choice, the marginal rate of substitution between consumption and leisure is equal to the real wage.
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