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Consider market that only has 2 large firms. The Inverse market demand is P = 100 Q. Firm 1 has a cost function of C

Consider market that only has 2 large firms. The Inverse market demand is P = 100 Q.

Firm 1 has a cost function of C1 = 2q1,

Firm 2 has a cost function of C2 = 3q2

Calculate Nash equilibrium outputs q1 and q2 of the 2 firms, using a Cournot model.

i. Give both firm's profit as a function of q1 and q2

ii. Compute the Nash equilibrium q1 and q2

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