Please answer the following question:

5. Consider the market demand curve to be: P = 340 - 0.5 Q (5) The cost function of a firm is: C(q) = 100q + 0.5 q2 (6) (a) Calculate the monopoly profit-maximizing quantity, price, and its profit. (b) Calculate the Cournot output, price, and firms' profit if there are two identical firms. (c) If firms operate in the Bertrand duopoly, what will be the Nash Equilibrium and profit? (d) Graph the demand curve and indicate your results from the parts a-c on the curve. (e) If two firms operate in the Stackelberg duopoly and Firm 1 sets its output first and then Firm 2 sets its output, what will be the output for two firms and total profit, given the marginal cost to produce the good is constant at $190 for each firm