Suppose a monopolist can purchase labor at a price w = 15 and can purchase capital at a price r = 7. The monopolist's production function is given by Q = 7L + 4K. The demand facing the monopolist is given by P = 50 - 20. a) (7 points) What is the monopolist's total cost function? b) (3 points) What is the monopolist's marginal cost? c) (10 points) Illustrate the above situation using a graph. Your graph should include the demand curve, marginal revenue curve, marginal cost curve, and you should clearly identify the monopoly price and quantity along with the perfectly competitive price and quantity. Make sure your graph is correctly labeled and drawn neatly and accurately. d) (3 points) Calculate the DWL from this monopoly. e) (3 points) What is the average total cost for the monopolist when producing the profit-maximizing quantity