Answered: A group of 10 people have the following…

Microeconomics

13th Edition

ISBN:9781337617406

Author:Roger A. Arnold

Publisher:Roger A. Arnold

Chapter15: The Distribution Of Income And Poverty

Section: Chapter Questions

Problem 4QP

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A group of 10 people have the following annual incomes: $55,000, $30,000, $15,000, $20,000, $35,000, $80,000, $40,000, $45,000, $30,000, $50,000. Calculate the share of total income each quintile of this income distribution received. Do the top and bottom quintiles in this distribution have a greater or larger share of total income than the top and bottom quintiles of the U.S. income distribution for 2005?

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If $4000 is taxed from the top earner and transferred to the lowest earner, would that increase or decrease the share of income held by the top quintile?
Would this transfer increase or decrease the share of income held by the bottom quintile?
Would this have any effect on the 2^nd quintile? The 3^rd? The 4^th?
Would this transfer increase, decrease, or have no effect on income inequality in this group?
Redistributing income from the highest earner to the lowest one would reduce the utility of the top earner and increase the utility of the lowest earner. But what would happen to overall utility in the economy? Would it increase, decrease, or remain the same? Explain your answer. (Hint: does the marginal utility of income diminish as one earns more?)

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