Analysts have estimated the inverse market demand in a homogeneous-product Cournot duopoly to be P= 170 -3 (Q1 + Q2). They estimate costs to be C1(Q1) = 20Q1 and C2(Q2) = 32 Q2. a. Determine the reaction function for each firm. Firm 1: Q1 = 450 3 Q2 Firm 2: Q2 = 828 - 6 Q b. Calculate each firm's equilibrium output. Firm 1: 36 Firm 2: 12 c. Calculate the equilibrium market price. to 82 d. Calculate the profit each firm earns in equilibrium. Firm 1: $ 432 Firm 2: $ 96