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2. Two competing firms, Firm 1 and Firm 2, are selling a homogeneous good. The demand curve they face is P = 125 - Q, where Q = q1 + q2. Each has the same marginal cost of $25. Both are seeking to maximize profits and are setting quantities simultaneously. a) If both of these firms agree to act as a monopoly, what quantity would they produce and what price would they sell the good at? b) If the firms split the monopoly profit equally, how much would each firm receive? c) Do either of the firm's have an incentive to cheat on this agreement? Explain. d) Find the Cournot equilibrium. e) How does the total quantity produced under the Cournot compare to the monopoly? Explain