Price Discrimination. Suppose a monopolist faces two separate markets. Demand in market 1 is P1 = 100 – ¼ Q1 and Demand in market 2 is P2 = 80 – ½ Q2. Cost are C(Q) = 10(Q1 + Q2) with marginal cost MC(Q) = 10. a) Suppose the monopolist can charge different prices for each market. What is the profit maximizing price and quantity in each market (P1, Q1) (P2, Q2)? b) What is the total profit the monopolist re

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Price Discrimination. Suppose a monopolist faces two separate markets. Demand in market 1 is P1 = 100 – ¼ Q1 and Demand in market 2 is P2 = 80 – ½ Q2.

Cost are C(Q) = 10(Q1 + Q2) with marginal cost MC(Q) = 10.
a) Suppose the monopolist can charge different prices for each market. What is the profit maximizing price and quantity in each market (P1, Q1) (P2, Q2)?
b) What is the total profit the monopolist receives when it price discriminates?
c) Suppose the monopolist must charge the same price in each market. That is, P1 = P2. Sketch the total demand curve and find the equation for the demand.
d) What is the profit maximizing price (P) and quantity in each market (Q1, Q2)?
e) What is the total profit the monopolist receives when it cannot price discriminate?
f) Why are profits higher under discrimination? 
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