)a-Ali receives utility from the Korean vaccine(K) and American vaccine(V) that he receives in the following format: U=K*V Pv=200 Pk=160 I=8000 After the Korean vaccine price goes up to 250 TL, as there is increased international competition to receive it what is the compensation the Turkish government needs to offer for the individual`s utility to stay constant? b)With the Korean vaccine price going up to 250 TL, please differentiate the substitution vs income effect of this price increase. Is the vaccine a normal good or an inferior good?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.8P
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)a-Ali receives utility from the Korean vaccine(K) and American vaccine(V) that he receives in the
following format: U=K*V
Pv=200
Pk=160
I=8000
After the Korean vaccine price goes up to 250 TL, as there is increased international competition to
receive it what is the compensation the Turkish government needs to offer for the individual`s utility to
stay constant?
b)With the Korean vaccine price going up to 250 TL, please differentiate the substitution vs income
effect of this price increase. Is the vaccine a normal good or an inferior good?
c) Individuals gain utility from two things: leisure(N) and numeraire good consumption(C). In their youth
they maximize:
U1(N1, C1) = (N)
1/2 (C)
1/2
Budget constraint should be constructed in the following way: With 24 hours of work, you buy leisure
hours, and the numeraire good, which has a price of 1. If you get an hourly wage rate of w,
Please set up the Lagrangian for utility maximization. Solve for w=10, your labor decision for the first
period.
d-Let us assume the individuals MRS between leisure and consumption change when you get older in
the direction of more consumption such that our new utility function is:
U1 (N2
, C2
) = (N)
1/3 (C)
2/3
Find the new equilibrium with w=20, with the price of numeraire good constant for your second period.
Please compare the size of the substitution effect with the size of the income effect, as a result of this
wage change.
e- Labor force participation graph gives us the amount of hours that the person is willing the work with
different wage levels. Given the utility structure in part d, what will the labor force participation graph of
this person look like? Please provide a curve, and an explanation.

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