Consider an industry with constant marginal cost and which faces an inverse market demand curve equal to: P = 400 - 4Q a) (15 points) If this market is a monopoly with one firm that has a constant marginal cost of $40 per unit of output, what is the monopoly quantity, price charged by the monopolist, and monopoly profits? For parts b) through d), consider that this market is a duopoly. Firm 1 has a constant marginal cost equal to $40 per unit of output and Firm 2 has a constant marginal cost equal to $100 per unit of output. b) (10 points) If the two firm engage in Bertrand competition, what is the quantity in the market, price charged, and profits of each firm? c) (15 points) If the two firm engage in Cournot competition, what is the quantity in the market, price charged, and profits of each firm? d) (15 points) If the two firm engage in Stackleberg competition with Firm 2 as the leader, what is the quantity in the market, price charged, and profits of each firm