There are two types of consumers: one half of consumers are type 1 (low type) and the other half are type 2 (high type). Type l's demand curve is q1 = 8 – P, while type 2's demand is given by 12 – P. Consider a monopolist selling its product to these consumers. Assume that the marginal q2 || cost is equal to zero. 1.1. Suppose that the firm can charge only one price, P, for each unit. (1) What is the market demand, Q? (Note: Q should be equal to q1 + q2.) What should be P that maximizes the monopoly's profit? For the profit- (2) maximizing P, will both types of consumers purchase the product, or only high type con- sumers purchase? (3) Given the price in (2) what is the resulting social surplus?
There are two types of consumers: one half of consumers are type 1 (low type) and the other half are type 2 (high type). Type l's demand curve is q1 = 8 – P, while type 2's demand is given by 12 – P. Consider a monopolist selling its product to these consumers. Assume that the marginal q2 || cost is equal to zero. 1.1. Suppose that the firm can charge only one price, P, for each unit. (1) What is the market demand, Q? (Note: Q should be equal to q1 + q2.) What should be P that maximizes the monopoly's profit? For the profit- (2) maximizing P, will both types of consumers purchase the product, or only high type con- sumers purchase? (3) Given the price in (2) what is the resulting social surplus?
Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter13: Antitrust And Regulation
Section: Chapter Questions
Problem 10SQP
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