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Suppose two firms that produce a homogeneous product and simultaneously choose the quantity they are going to produce. The demand curve for the good is

Suppose two firms that produce a homogeneous product and simultaneously choose the quantity they are going to produce. The demand curve for the good is P = 10 ? y1 ? y2 and firms have total cost curves C1 = 2y1 and C2 = 3y2. (a) Find the reaction curves for the two firms. (b) Calculate the quantities (y1? and y2?), the price (P) and the profits (?1? and ?2?) in equilibrium. (c) Let ? (y1, y2) = ?1 (y1, y2) + ?2 (y1, y2) be the joint profit as a function of quantities. calculate and Interpreter.

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