1. Suppose there is a Cournot duopoly comprised of firms a and b. Total industry output is the sum of output from both firms so that Q = (qa+qb). Industry demand is given by P = 60- 3/2-Q. Both firms have identical cost functions, with Ca = 10 + qa and Cb = 25+ qb. a. Find the Cournot Nash Equilibrium. Show your work in the space below. b. Suppose that firm a is the leader in a Stackelberg Game. Find the Stackelberg Nash Equilibrium. Show your work. c. At the Stackelberg Nash Equilibrium social welfare is W = $ Show your work.