Q3 Cournot Duopoly I There are two firms competing in the market for the same good by simultaneously and indepen dently selecting their supply quantities q1 2 0 and q2 2 0 . The market price is given by P(Q) = A - Q where Q = q1 + 92. Both firms have the same constant marginal cost c > 0 for producing the good. Firms are maximizing their profits. To sum up, the payoffs are given by: 71(91, 92) = P(Q) q1 - cq1 = [4 - (q1 + 92)191 - cq1 72(91, 92) = P(Q) 92 - cq2 = [4 - (q1 + 92)192 - cq2 Assume that A = 15 and c = 3 when answering the following questions. (a) Find best response functions for both firms and plot them on the same graph. (b) Find the Nash equilibrium. (c) Calculate market price and firms' profits at the equilibrium