A single firm monopolizes the entire market for Batman masks and can produce at constant average and marginal costs of 10. Originally, the firm faces a market demand curve given by Q = 60-P.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter14: Monopoly
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Problem 14.3P
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2. A single firm monopolizes the entire market for Batman masks and can produce at
constant average and marginal costs of 10. Originally, the firm faces a market
demand curve given by Q = 60-P.
a) Calculate the profit-maximizing price-quantity combination for the firm. What
are the firm's profits? (Answer. Q = 25 units; π = $625)
b) Now assume that the market demand curve becomes steeper and is given by:
Q = 45-0.5P. What is the firm's profit-maximizing price-quantity combination
now? What are the firm's profits?
c) Instead of the assumptions in part b, assume that the market demand curve
becomes flatter and is given by: Q = 100-2P. What is the firm's profit-
maximizing price-quantity combination now? What are the firm's profits?
d) In each case, compute the demand elasticity for the profit-maximizing price-
quantity combination and the markup. Can you find any relationship between
the markup and the elasticity? (Answer. & = -1,4;P₁ - MC = 25)
e) Graph the three different situations of part a, part b, and part c using just one
graph.
Transcribed Image Text:2. A single firm monopolizes the entire market for Batman masks and can produce at constant average and marginal costs of 10. Originally, the firm faces a market demand curve given by Q = 60-P. a) Calculate the profit-maximizing price-quantity combination for the firm. What are the firm's profits? (Answer. Q = 25 units; π = $625) b) Now assume that the market demand curve becomes steeper and is given by: Q = 45-0.5P. What is the firm's profit-maximizing price-quantity combination now? What are the firm's profits? c) Instead of the assumptions in part b, assume that the market demand curve becomes flatter and is given by: Q = 100-2P. What is the firm's profit- maximizing price-quantity combination now? What are the firm's profits? d) In each case, compute the demand elasticity for the profit-maximizing price- quantity combination and the markup. Can you find any relationship between the markup and the elasticity? (Answer. & = -1,4;P₁ - MC = 25) e) Graph the three different situations of part a, part b, and part c using just one graph.
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Please solve the last two parts which is D and E, the first three sub parts has already been solved

2. A single firm monopolizes the entire market for Batman masks and can produce at
constant average and marginal costs of 10. Originally, the firm faces a market
demand curve given by Q = 60-P.
a) Calculate the profit-maximizing price-quantity combination for the firm. What
are the firm's profits? (Answer. Q = 25 units; π = $625)
b) Now assume that the market demand curve becomes steeper and is given by:
Q = 45-0.5P. What is the firm's profit-maximizing price-quantity combination
now? What are the firm's profits?
c) Instead of the assumptions in part b, assume that the market demand curve
becomes flatter and is given by: Q = 100-2P. What is the firm's profit-
maximizing price-quantity combination now? What are the firm's profits?
d) In each case, compute the demand elasticity for the profit-maximizing price-
quantity combination and the markup. Can you find any relationship between
the markup and the elasticity? (Answer. & = -1,4;P₁ - MC = 25)
e) Graph the three different situations of part a, part b, and part c using just one
graph.
Transcribed Image Text:2. A single firm monopolizes the entire market for Batman masks and can produce at constant average and marginal costs of 10. Originally, the firm faces a market demand curve given by Q = 60-P. a) Calculate the profit-maximizing price-quantity combination for the firm. What are the firm's profits? (Answer. Q = 25 units; π = $625) b) Now assume that the market demand curve becomes steeper and is given by: Q = 45-0.5P. What is the firm's profit-maximizing price-quantity combination now? What are the firm's profits? c) Instead of the assumptions in part b, assume that the market demand curve becomes flatter and is given by: Q = 100-2P. What is the firm's profit- maximizing price-quantity combination now? What are the firm's profits? d) In each case, compute the demand elasticity for the profit-maximizing price- quantity combination and the markup. Can you find any relationship between the markup and the elasticity? (Answer. & = -1,4;P₁ - MC = 25) e) Graph the three different situations of part a, part b, and part c using just one graph.
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