Based on market research, a film production company obtains the following information about the demand and production costs of its new DVD: Price = 1000 - 10Q Total Revenue =1000Q - 10Q2 Marginal Revenue = 1000 - 20Q Marginal Cost = 100 + 10Q where Q indicates the number of copies sold and P is the price in cents. (a) Find the price and quantity that maximizes the company's profit. (b) Find the price and quantity that would maximize social welfare. (c) Calculate the deadweight loss from monopoly. (d) Suppose, in addition to the costs above, the director of the film has to be paid. The company is considering four options: i. A flat fee of 2000 cents ii. 50 percent of the profits iii. 150 cents per unit sold iv. 50 percent of the revenue For each option, calculate the profit-maximizing price and quantity. Which, if any, of these compensation schemes would alter the deadweight loss from monopoly? Explain.