3. (22 points) Suppose that a monopoly faces a market with two (2) types of consumers . Demands for the respective consumer types are listed below (we will use subscripts to identify the two types of consumers): Q1 = 400 4P, (3) and demand for the second type of consumer is: Q2 = 200 P. (4) Assume total costs are: T0 = 4, 000 + ZOQ. a) (15 points) If this monopoly was able to differentiate between the two types of consumers (assume that resale between the two consumer types is impossible), what would be the price charged each consumer type, the quantity sold to each consumer type, and total prots? (Note: It may help to sketch out the graph of this problem.) b) (7 points) If the monopoly was not able to differentiate between the two types of con- sumers, what would be the price charged each consumer type, the quantity sold to each consumer type, and total prots? How do total prots in (b) compare to those in (a)...why? c) (Extra credit) What would be your answers to (a) and (b) if T0 = 4, 000+ lioan, where QT = Q1 + Q2