A7 Suppose a monopolist sells a product to two consumers i = 1,2 with linear inverse demand functions pi =26-21 and p2 = 23-422, where x; and p, are the quantity demanded and the price per unit paid by consumer i, respectively. The monopolist has a constant marginal cost equal to 2. Determine the profit-maximising solution to the second-degree price discrimination problem, where the monopoly offers take-it or leave-it contracts of quantity z, for a total price of ri (i = 1,2) that each consumer will self-select. What consumer surplus does consumer 1 obtain from purchasing and consuming each package?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.9P
Question
A7 Suppose a monopolist sells a product to two consumers i = 1,2 with linear inverse demand
functions pi =26-21 and p2 = 23-422, where x; and p, are the quantity demanded and the
price per unit paid by consumer i, respectively. The monopolist has a constant marginal cost
equal to 2. Determine the profit-maximising solution to the second-degree price discrimination
problem, where the monopoly offers take-it or leave-it contracts of quantity z, for a total price
of ri (i = 1,2) that each consumer will self-select. What consumer surplus does consumer 1
obtain from purchasing and consuming each package?
Transcribed Image Text:A7 Suppose a monopolist sells a product to two consumers i = 1,2 with linear inverse demand functions pi =26-21 and p2 = 23-422, where x; and p, are the quantity demanded and the price per unit paid by consumer i, respectively. The monopolist has a constant marginal cost equal to 2. Determine the profit-maximising solution to the second-degree price discrimination problem, where the monopoly offers take-it or leave-it contracts of quantity z, for a total price of ri (i = 1,2) that each consumer will self-select. What consumer surplus does consumer 1 obtain from purchasing and consuming each package?
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