Consider a market with demand P(Q) = 108-2Q in which two rms compete. Firm 1 faces TC1(Q) = 48Q and rm 2 faces TC2(Q) = 36Q.
(a) Find the reaction function for rm 1.
(b) Find the reaction function for rm 2.
(c) Find the Cournot equilibrium (Q1;Q2; P).
(d) Determine prots for each rm and consumer surplus.