We now focus on one country. Assume that the society is composed of two individuals A and B. The total income available in the society is $550,000. The utility of individual A is given by UA = VIA and individual B ones is given by UA = 0.5/IB. b) What should the income distribution be for the individuals to have the same utility level? c) Find the income distribution that maximizes social welfare in the case of an additive social welfare function. Now imagine that in reality, individual A has an income of $500,000 and individual B's income is $50,000. d) How far from the optimal income distribution defined in question c) are we? What redistri- bution should be chosen to reach the optimal social welfare calculated in c)?

Microeconomics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506893
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter15: Income Inequality And Poverty
Section: Chapter Questions
Problem 15CQ
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We now focus on one country. Assume that the society is composed of two individuals A and B. The
VIA
total income available in the society is $550,000. The utility of individual A is given by UA=
and individual B ones is given by UA = 0.5/IB.
b) What should the income distribution be for the individuals to have the same utility level?
c) Find the income distribution that maximizes social welfare in the case of an additive social
welfare function.
Now imagine that in reality, individual A has an income of $500,000 and individual B's income is
$50,000.
d) How far from the optimal income distribution defined in question c) are we? What redistri-
bution should be chosen to reach the optimal social welfare calculated in c)?
Transcribed Image Text:We now focus on one country. Assume that the society is composed of two individuals A and B. The VIA total income available in the society is $550,000. The utility of individual A is given by UA= and individual B ones is given by UA = 0.5/IB. b) What should the income distribution be for the individuals to have the same utility level? c) Find the income distribution that maximizes social welfare in the case of an additive social welfare function. Now imagine that in reality, individual A has an income of $500,000 and individual B's income is $50,000. d) How far from the optimal income distribution defined in question c) are we? What redistri- bution should be chosen to reach the optimal social welfare calculated in c)?
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