Question
Hello, Kindly assist me with this problem: Two firms A and B produce goods A and B, respectively. The linear demands for the two goods
Hello,
Kindly assist me with this problem:
Two firms A and B produce goods A and B, respectively. The linear demands for the two goods are, respectively,
QA = 100 - 4 PA + 1.5PB
QB = 120-2PB + 0.5PA
Production costs are constant but not equal:
LACA = LMCA = $2
LACB = LMCB = $3
Using calculus, derive the equations for best response curves.
Sketch a graph of the two best-response curves. Label both axes and response curves.
If firm A expects firm B to set its prices at $20, what is firm A's best response? If firm B predicts firm A will price good A at $36, what is firm B's best response?
What is the Nash equilibrium price and quantity for each firm?
How much profit does each firm earn in Nash equilibrium?
If firm A and firm B set prices of $22 and $35 respectively, how much profit does each firm earn? Why don't they choose these prices then?
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