1. The monopolist faces two groups of consumers with the following demand functions P1 = 110-Q1P 2 = 30 - Q2 The monopolist faces the cost function T C = 100 + 10Q (a) If the monopolist charges both groups of consumers the same price, what is the quantity demanded by the two groups and the aggregate profit. (b) If the monopolist adopts a third degree price discrimination policy such that a different price is set for each consumer group. What are the profit maximizing prices? What are the quantities demanded by each group? What is the aggregate profit? (c) What is the consumer and producer surplus in (a) and (b)