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A. Suppose a monopolist faces a linear market demand curve p = a- bQ and a constant MC = 20. The monopolist sells 20 million units (Q =20) and the average revenue of the firm is $100, and the elasticity of demand is 2. Find the inverse demand function of the firm. (1 point) B. Suppose a monopolist faces a demand curve given by P = 120 - 3Q. The monopolist has two plants. The first has a marginal cost curve given by MC1 = 10 + 20Q1, and the second plant's marginal cost curve is given by MC2 = 60 + 5Q2. Find the monopolist's optimal total quantity and price. (2 points) C. Find the optimal division of the monopolist's quantity between its two plants. (2 points)