Consider a competitive economy that has four different jobs that vary by their wage and risk level. The table below describes each of the four jobs.Job          Risk ( r )     Wage ( w)A                  1/5              $ 3B                  1/4              $12C                  1/3              $23D                 1/2              $25All workers are equally productive, but workers vary in their preferences. Consider a worker who values his wage and the risk level according to the following utility function:u(w, r) = w + 1/r2Where does the worker choose to work? Suppose the government regulated the workplace and required all jobs to have a risk factor of 1/5 (that is, all jobs must become A jobs). What wage would the worker now need to earn in the A job to be equally happy following the regulation?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.11P
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Consider a competitive economy that has four different jobs that vary by their wage and risk level. The table below describes each of the four jobs.

Job          Risk ( r )     Wage ( w)
A                  1/5              $ 3
B                  1/4              $12
C                  1/3              $23
D                 1/2              $25

All workers are equally productive, but workers vary in their preferences. Consider a worker who values his wage and the risk level according to the following utility function:

u(w, r) = w + 1/r2

Where does the worker choose to work? Suppose the government regulated the workplace and required all jobs to have a risk factor of 1/5 (that is, all jobs must become A jobs). What wage would the worker now need to earn in the A job to be equally happy following the regulation?

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