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Question 1 Consider a Monopolist that is facing the market demand function Q. = 800 - (1/4)p for type A consumers and @, = 500 - (1/3)p for type B consumers, where Q, and Q, is total quantity demanded from each group of consumers when the monopolist charges a constant price of p dollars for every unit of output sold. The monopolist has the cost function c(y) = 10y, which is the minimum level of costs for producing y units of output. a) In a diagram with dollars on the vertical axis, plot the demand functions for both Type A and Type B consumers. Write down the monopolist's marginal cost function and plot in the same graph. b) Assume that the monopolist can practice First-Degree Price Discrimination. Find the monopolist's profits for type A consumers and her profits from type B consumers. c) Suppose that the monopolist can practice Second-Degree Price discrimination only. Prove that the First-Degree Price discrimination combination offer from part b is not