There are two types of consumers: one half of consumers are type 1 (low type) and the other hal are type 2 (high type). Type l's demand curve is q = 8 – P, while type 2's demand is given by q2 = 12 – P. Consider a monopolist selling its product to these consumers. Assume that the margina cost is equal to zero. Now suppose that the firm can separate type 1 from type 2. That is, market segmentation is possible, and so the firm charges P for type 1, while charging P, for type 2. (1) What should be the profit-maximizing P for type 1 consumers? (2) What should be the profit-maximizing P2 for type 2 consumers? (3) What is the social surplus under P and P2 computed in 1.2.(1)-(2)?
There are two types of consumers: one half of consumers are type 1 (low type) and the other hal are type 2 (high type). Type l's demand curve is q = 8 – P, while type 2's demand is given by q2 = 12 – P. Consider a monopolist selling its product to these consumers. Assume that the margina cost is equal to zero. Now suppose that the firm can separate type 1 from type 2. That is, market segmentation is possible, and so the firm charges P for type 1, while charging P, for type 2. (1) What should be the profit-maximizing P for type 1 consumers? (2) What should be the profit-maximizing P2 for type 2 consumers? (3) What is the social surplus under P and P2 computed in 1.2.(1)-(2)?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![There are two types of consumers: one half of consumers are type 1 (low type) and the other half
= 8 – P, while type 2's demand is given by
P. Consider a monopolist selling its product to these consumers. Assume that the marginal
are type 2 (high type). Type l's demand curve is q1
-
q2 = 12 –
cost is equal to zero.
Now suppose that the firm can separate type 1 from type 2. That is, market segmentation is
possible, and so the firm charges P for type 1, while charging P2 for type 2.
(1) What should be the profit-maximizing P for type 1 consumers?
(2) What should be the profit-maximizing P2 for type 2 consumers?
(3) What is the social surplus under P and P2 computed in 1.2.(1)-(2)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99243d4d-6d14-4b35-89e5-32ff60d643c2%2F94abe3cd-603f-4cc9-8960-c25dbe49a8f8%2Fb0cyv5h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:There are two types of consumers: one half of consumers are type 1 (low type) and the other half
= 8 – P, while type 2's demand is given by
P. Consider a monopolist selling its product to these consumers. Assume that the marginal
are type 2 (high type). Type l's demand curve is q1
-
q2 = 12 –
cost is equal to zero.
Now suppose that the firm can separate type 1 from type 2. That is, market segmentation is
possible, and so the firm charges P for type 1, while charging P2 for type 2.
(1) What should be the profit-maximizing P for type 1 consumers?
(2) What should be the profit-maximizing P2 for type 2 consumers?
(3) What is the social surplus under P and P2 computed in 1.2.(1)-(2)?
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