The monopoly can verify consumers to decide which market they belong to so that it charge different prices in the two markets. The cost of production is C(Q) = 10Q where Q-Q1+Q2. a) Please write out the total profit function for the monopoly as functions of Q₁ and Q2. b) Find out the profit maximizing Q₁ and Q2, and prices P₁ and P₂ charged by the monopoly in each of these two markets, figure out the total profit. c) = Suppose the monopoly must charge the same price in both market, please calculate the price and quantity for the monopoly, what would be the profit for the monopoly

Principles of Economics 2e
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ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter9: Monopoly
Section: Chapter Questions
Problem 3SCQ: Suppose the local electrical utility, a legal monopoly based on economies of scale, was split into...
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2. Suppose that a monopoly faces two markets for its product.
D₁: Q₁ = 100 P; and D₂ : Q2 = 80 - P
The monopoly can verify consumers to decide which market they belong to
so that it charge different prices in the two markets. The cost of production is
C(Q) = 10Q
where QQ₁ + Q2-
=
a) Please write out the total profit function for the monopoly as functions
of Q₁ and Q2.
b) Find out the profit maximizing Q1 and Q2, and prices P₁ and P₂
charged by the monopoly in each of these two markets, figure out the total
profit.
c)
Suppose the monopoly must charge the same price in both market,
please calculate the price and quantity for the monopoly, what would be the
profit for the monopoly.
Transcribed Image Text:2. Suppose that a monopoly faces two markets for its product. D₁: Q₁ = 100 P; and D₂ : Q2 = 80 - P The monopoly can verify consumers to decide which market they belong to so that it charge different prices in the two markets. The cost of production is C(Q) = 10Q where QQ₁ + Q2- = a) Please write out the total profit function for the monopoly as functions of Q₁ and Q2. b) Find out the profit maximizing Q1 and Q2, and prices P₁ and P₂ charged by the monopoly in each of these two markets, figure out the total profit. c) Suppose the monopoly must charge the same price in both market, please calculate the price and quantity for the monopoly, what would be the profit for the monopoly.
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