(40 total points) Suppose a monopolist faces the following demand curve: P = 596 – 6Q. Marginal cost of production is constant and equal to $20, and…

4. (40 total points) Suppose a monopolist faces the following demand curve:P = 596 – 6Q. Marginal cost of production is constant and equal to $20, and there are no fixed costs.a) (8 points) What is the monopolist’s profit maximizing level of output?b) (8 points) What price will the profit maximizing monopolist produce?c) (8 points) How much profit will the monopolist make if she maximizes her profit?d) (8 points) What would be the value of total consumer surplus if the market were perfectly competitive?