1. Given that a monopoly’s marginal revenue curve is strictly downward sloping, use math and a graph to show why a monopoly’s revenue curve reaches its maximum at a larger quantity than does its profit curve
2. Suppose a firm has market power and faces a downward sloping demand curve for its product, and its marginal cost curve is upward sloping.
If the firm reduces its price, then consumer surplus increases, producer surplus may increase or decrease.Explain this statement with a graph.
3. A firm is a natural monopoly. Its marginal cost curve is flat, and its average cost curve is downward sloping (because it has a fixed cost). The firm can perfectly price discriminate.
a) Use a graph to show how much the monopoly produces, Q*.
b) Show graphically and mathematically that a monopoly might shut down if it can only set a single price butoperate if it can perfectly price discriminate.