Calculation Question 5 suppose a market demand is given by Q= 300 – 4p, where p represents the product price and epresents the output level. The market consists of two firms with identical costs given by C- 2 5q, where q represents the output level of a firm. Both firms produce an identical product an Lo not collude with one another. ) Derive the reaction functions of each firm. ) What is the Nash equilibrium output level for each firm? Show your calculation. ) What is the price charged by each firm for the product? Show your calculation. ) Calculate the profit (if any) obtained by each firm and for the industry as a whole.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
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Calculation Question 5
Suppose a market demand is given by Q = 300 – 4p, where p represents the product price and Q
represents the output level. The market consists of two firms with identical costs given by C – 20
+ 5q, where q represents the output level of a firm. Both firms produce an identical product and
do not collude with one another.
a) Derive the reaction functions of each firm.
b) What is the Nash equilibrium output level for each firm? Show your calculation.
c) What is the price charged by each firm for the product? Show your calculation.
d) Calculate the profit (if any) obtained by each firm and for the industry as a whole.
Transcribed Image Text:Calculation Question 5 Suppose a market demand is given by Q = 300 – 4p, where p represents the product price and Q represents the output level. The market consists of two firms with identical costs given by C – 20 + 5q, where q represents the output level of a firm. Both firms produce an identical product and do not collude with one another. a) Derive the reaction functions of each firm. b) What is the Nash equilibrium output level for each firm? Show your calculation. c) What is the price charged by each firm for the product? Show your calculation. d) Calculate the profit (if any) obtained by each firm and for the industry as a whole.
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