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Consider an asymmetric Cournot duopoly game, where the two firms have different costs of production. Firm 1 selects quantity q1 at a production cost of 2 q1. Firm 2 selects quantity q2 and pays the production cost 4 q2. The market price is given by p=12-q1-q2. Thus, the payoff functions are u1(q1, q2)=(12-q1-q2) q1-2 q1 and u2(q1, q2)=(12-q1-q2) q2-4 q2. Calculate the firms' best-response functions B R1(q2) and B R2(q1), and find the Nash equilibrium of this game. | Numerade
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