A retail market has an inverse demand function PR = 100-Q. The market is monopolized by a retailer who buys the product from a monopolist wholesaler at price Pw; the wholesaler buys the product from a monopolist manufacturer at price Pm. The manufacturer's marginal cost is 10. 4.1. Illustrate graphically this situation with three monopolists vertically linked. 4.2. Find the profit maximizing quantities and prices. 4.3. Prove graphically that the merger between two monopolists increases profits and consumer's surplus.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.9P
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A retail market has an inverse demand function PR = 100-Q. The market is monopolized by
a retailer who buys the product from a monopolist wholesaler at price Pw; the wholesaler
buys the product from a monopolist manufacturer at price Pm. The manufacturer's marginal
cost is 10.
4.1. Illustrate graphically this situation with three monopolists vertically linked.
4.2. Find the profit maximizing quantities and prices.
4.3. Prove graphically that the merger between two monopolists increases profits and
consumer's surplus.
Transcribed Image Text:A retail market has an inverse demand function PR = 100-Q. The market is monopolized by a retailer who buys the product from a monopolist wholesaler at price Pw; the wholesaler buys the product from a monopolist manufacturer at price Pm. The manufacturer's marginal cost is 10. 4.1. Illustrate graphically this situation with three monopolists vertically linked. 4.2. Find the profit maximizing quantities and prices. 4.3. Prove graphically that the merger between two monopolists increases profits and consumer's surplus.
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