Chapter 20/Poverty, Inequality, and Discrimination
b) What distribution of the $80,000 total income would maximize the sum of their
utilities?
c) Comparing b) to a), what is the change in Allen’s utility, Elizabeth’s utility, and total
utility?
d) Your solution in b) maximized the community’s utility for a given total income. Is
there any reason to think that the community’s income would change if this solution
were adopted?
e) If the solution in b) were adopted, one person would gain and the other would lose.
Discuss the question of whether this solution is “fair.”
f) Suppose now that there is no absolute utility standard, or “util,” and that utility cannot
be compared between different people. How does your analysis of this problem
change?
Solution:
a) 100,000 utils, 490,000 utils, 590,000 utils, respectively.
DISCUSSION QUESTIONS
1. Explain why a trade-off between equality and efficiency does or does not arise in
consideration of the following policies:
a) The government guarantees each American family an annual income of $20,000.
b) Firms that make investments in their plant can deduct one-half of the cost of the
investment from their tax bill.
c) The government expands the unemployment insurance program, so that it covers 95
percent of a former worker’s earnings, and lasts for as long as the person is
unemployed.
d) The government doubles its expenditures on vocational training programs for high
school dropouts.
Suggested Answer:
a) Because of its superior work incentives, economists believe that a negative income
tax is a more efficient way to redistribute income than the existing multifaceted