Consider a consumer with the following utility function for consumption and leisure: U(R,C) = 160 In N +Y where N is the hours of leisure ("recreation") consumed per day (24 maximum) and Y is dollars spent on consumption (p = 1). The consumer has an hourly wage w. (a) Assume the consumer derives all income from work at a wage rate w. Derive the labor supply function, LS (w). (b) For what values of w does the consumer work zero hours? (Hint: does a corner solution arise?) (c) Suppose that w = 10. How many hours does this consumer work? If the wage rate increases to w' = 16, how many hours do they work? What is the total effect on the supply of labor?

Consider a consumer with the following utility function for consumption and leisure: U(R,C) = 160 In N +Y where N is the hours of leisure ("recreation") consumed per day (24 maximum) and Y is dollars spent on consumption (p = 1). The consumer has an hourly wage w. (a) Assume the consumer derives all income from work at a wage rate w. Derive the labor supply function, LS (w). (b) For what values of w does the consumer work zero hours? (Hint: does a corner solution arise?) (c) Suppose that w = 10. How many hours does this consumer work? If the wage rate increases to w' = 16, how many hours do they work? What is the total effect on the supply of labor?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter16: Labor Markets

Section: Chapter Questions

Problem 16.2P

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