Suppose that two firms are Cournot competitors producing a homogeneous product. The market demand and firm cost

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Suppose that two firms are Cournot competitors producing a homogeneous product. The market demand and firm cost equations are:

P = 200 − 2(Q +Q ) 1 2 ;
TC Q 1 1 = 2 ;
TC Q 2 2 = 4 .

a. Calculate each firm’s reaction function.

b. What is the Cournot-Nash equilibrium?

c. What is the market price?

d. Calculate the profit for each firm.

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