1. Consider a market with (inverse) demand given by P(Q) = 100 40 and a cost function C(Q) = 8 + 01. A) Calculate the optimal price and market output under perfect competition. B) Calculate the optimal price and quantity under a single price monopoly. C) What are the monopolist's prots? D) Calculate the deadweight loss associated with this monopoly. E) How do the prices and quantities calculated in parts A and B change if the cost function is C(Q) = 20 + Q}