Question 1: Consider a market where aggregate demand is given by Q = 100 – P There is a monopoly firm in the market with costs of production C(Q) = 500 + 200 (a) Suppose that the firm is regulated to break even using a linear price. What price will it choose? What is total welfare? Compare this to the case where the firm can profit maximize using a linear price. (b) Suppose that the market demand is made up of 6 "rich" consumers each of whom has inverse demand P = 100 – 6.39 And 4 "poor" consumers each with inverse demand P = 100 – 809 Find the profit maximizing (single) two-part tariff if the same two-part tariff is offered to all consumers (c) Find the optimal group two-part tariffs (if the firm can identify rich and poor) (d) Find the incentive compatible two-part tariffs (second degree price discrimination)

Microeconomics A Contemporary Intro
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ISBN:9781285635101
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Chapter9: Monopoly
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Question 1:
Consider a market where aggregate demand is given by
Q = 100 – P
There is a monopoly firm in the market with costs of production
CQ) = 500 + 20Q
(a) Suppose that the firm is regulated to break even using a linear price. What price will it
choose? What is total welfare? Compare this to the case where the firm can profit
maximize using a linear price.
(b) Suppose that the market 'demand is made up of 6 "rich" consumers each of whom has
inverse demand
P = 100 – 6.39
And 4 "poor" consumers each with inverse demand
P = 100 – 804
Find the profit maximizing (single) two-part tariff if the same two-part tariff is offered to all
consumers
(c) Find the optimal group two-part tariffs (if the firm can identify rich and poor)
(d) Find the incentive compatible two-part tariffs (second degree price discrimination)
Transcribed Image Text:Question 1: Consider a market where aggregate demand is given by Q = 100 – P There is a monopoly firm in the market with costs of production CQ) = 500 + 20Q (a) Suppose that the firm is regulated to break even using a linear price. What price will it choose? What is total welfare? Compare this to the case where the firm can profit maximize using a linear price. (b) Suppose that the market 'demand is made up of 6 "rich" consumers each of whom has inverse demand P = 100 – 6.39 And 4 "poor" consumers each with inverse demand P = 100 – 804 Find the profit maximizing (single) two-part tariff if the same two-part tariff is offered to all consumers (c) Find the optimal group two-part tariffs (if the firm can identify rich and poor) (d) Find the incentive compatible two-part tariffs (second degree price discrimination)
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