question 1-3 please

5. COURNOT WITH N ASYMMETRIC FIRMS Consider an industry with n output-setting firms, each with constant marginal cost c and fixed cost F. Market demand is given by p = a -bQ, where Q = [-, 9- (1) Show that firm i's best-response mapping is given by of (Q-) = # -10_,, where (2) Show that, in equilibrium, total output is given by b(n + 1) Hint: add up all n first-order conditions for profit maximization. (3) Show that equilibrium price is given by N+ 1 (4) Show that in equilibrium, firm i's output level is given by b(n + 1) (5) Show that, in equilibrium, firm i's profit is given by: 1; = 1+1 (6) Show that, in equilibrium, consumer surplus is given by CS = 26 # + 1