Problem 2. Dayna's Doorstops (From Pindyck and Rubinfeld, 25 points) Dayna's Doorstops, Inc. (DD) is a monopolist in the doorstop industry. Its total cost is TC = 100 5Q + Q2, and (inverse) demand is P = 55 2Q. a. (10 points) What price should DD set to maximize prot? What output does the rm produce? How much prot does DD generate? b. (7 points) What would output be if DD acted like a perfect competitor and set MC = P? How much prot would DD generate? c. (8 points) Show graphically the consumer surplus and producer surplus under perfect competition (part b.). Then draw a separate graph showing consumer and producer surplus under monopoly (part a). Illustrate on the second graph the deadweight loss due to monopoly. Explain in words the consequences of having a monopoly instead of perfect competition on consumer surplus, producer surplus, and on total welfare. Note: You do not need to plot the exact functions from a. and b.,' an illustration is ne