A market is contested by two firms, A and B, who compete in selling a homoge- neous good. Market demand is given by Q = 240-3p, where p is the price of the good. Firm A has constant marginal costs of 20 as long as it produces 100 units or fewer. Every unit above 100 costs 75 to produce. Firm B has the cost function CBQ, where QB is the quantity produced by firm B. The firms sequentially choose prices. A is the market leader and chooses its price first; B chooses its price after observing A's price. If they charge the same price each sells half of the demand at that price. The firms cannot turn away customers. What is the equilibrium price in this industry?

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter25: Monopoly
Section: Chapter Questions
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Question 2:
A market is contested by two firms, A and B, who compete in selling a homoge-
neous good. Market demand is given by Q = 240 3p, where p is the price of
the good. Firm A has constant marginal costs of 20 as long as it produces 100
units or fewer. Every unit above 100 costs 75 to produce. Firm B has the cost
function CB = Q3, where QB is the quantity produced by firm B.
The firms sequentially choose prices. A is the market leader and chooses its
price first; B chooses its price after observing A's price. If they charge the same
price each sells half of the demand at that price. The firms cannot turn away
customers.
What is the equilibrium price in this industry?
Transcribed Image Text:Question 2: A market is contested by two firms, A and B, who compete in selling a homoge- neous good. Market demand is given by Q = 240 3p, where p is the price of the good. Firm A has constant marginal costs of 20 as long as it produces 100 units or fewer. Every unit above 100 costs 75 to produce. Firm B has the cost function CB = Q3, where QB is the quantity produced by firm B. The firms sequentially choose prices. A is the market leader and chooses its price first; B chooses its price after observing A's price. If they charge the same price each sells half of the demand at that price. The firms cannot turn away customers. What is the equilibrium price in this industry?
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