Consider two groups of consumers.  In the first group, each consumer has the inverse demand function P = 50 – Q.  In the second group, each consumer has the inverse demand function P = 30 – Q. There are 10 consumers in each group, or 20 consumers in all.  Marginal cost is always zero. The monopolist wants to maximize profits by designing a two-part tariff that will apply to both groups. (1)  After paying the tariff, how much consumer surplus remains to a member of Group I?  Of Group II? (2)  Suppose that Q is a normal good.  Compare the consumer surplus remaining for a member of Group I to the surplus remaining for a member of Group II.  How might two-part tariffs affect the equality of the income distribution?

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter8: Monopoly
Section: Chapter Questions
Problem 15SQ
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Consider two groups of consumers.  In the first group, each consumer has the inverse demand function P = 50 – Q.  In the second group, each consumer has the inverse demand function P = 30 – Q. There are 10 consumers in each group, or 20 consumers in all.  Marginal cost is always zero. The monopolist wants to maximize profits by designing a two-part tariff that will apply to both groups.

(1)  After paying the tariff, how much consumer surplus remains to a member of Group I?  Of Group II?

(2)  Suppose that Q is a normal good.  Compare the consumer surplus remaining for a member of Group I to the surplus remaining for a member of Group II.  How might two-part tariffs affect the equality of the income distribution?  

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