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?

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter26: Monopolistic Competition And Oligopoly
Section: Chapter Questions
Problem 11E
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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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