4. Consider the following duopoly problem. Firm 1 produces a product with C1(Q1) = Q1. Firm 2 produces the same product with the same total cost as 1, i.e., C2(Q2) = Q2. The market demand is given by the equation P(Q1 + Q2) = 16 - (Q1 + Q2)(a) Set up the maximization problemwrite down the prot expression you would like to maximize. (b) Solve for each rm's reaction curve. (c) Find the Cournot-Nash equilibrium. (d) Find the optimal price if these rms decide to coordinate strategies, i.e., if they collude