Assume a duopoly (two firms: A and B) is facing a common demand equation but different cost equations. Q = 300-20P TCA = 300+20Q+2Q2 TCB = 250+10Q+3Q2   Show the profit maximizing quantity (Q) to each firm (A and B) and the corresponding prices (PA and PB). How would the two firms ultimately resolve price competition?

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter10: Monopolistic Competition And Oligoply
Section: Chapter Questions
Problem 14SQ
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Assume a duopoly (two firms: A and B) is facing a common demand equation but different cost equations.

Q = 300-20P

TCA = 300+20Q+2Q2

TCB = 250+10Q+3Q2

 

  1. Show the profit maximizing quantity (Q) to each firm (A and B) and the corresponding prices (PA and PB).
  2. How would the two firms ultimately resolve price competition?
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