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; = = $625) b) Now assume that the market demand curve becomes steeper and is given by: Q=450.5P. 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: Ep₁ =— 1,4; P₁ — MC = 25) e) Graph the three different situations of part a, part b, and part c using just one graph.
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; = = $625) b) Now assume that the market demand curve becomes steeper and is given by: Q=450.5P. 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: Ep₁ =— 1,4; P₁ — MC = 25) e) Graph the three different situations of part a, part b, and part c using just one graph.
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.3P
Related questions
Question
SOLVE PART D AND E ONLY
![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; + = $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: Ep₁=- 1,4; P₁ - MC = = 25)
e) Graph the three different situations of part a, part b, and part c using just one graph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2189fceb-c7a8-40f0-b1e1-446eb4728449%2F76858223-0f92-4d1b-b856-73a1be02b96e%2F7whc4l_processed.png&w=3840&q=75)
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; + = $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: Ep₁=- 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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