Suppose that the small town of Moostissoostikwan, Manitoba has a single firm supplying electricity to N=10 identical consumers with individual demand given by p(y) = 30 - 2y, where y is quantity demanded by a single consumer at price p(y). Further, it is known that the firm has constant marginal cost MC = 5 and no fixed cost. If the firm cannot price discriminate, a) Derive aggregate market demand P(Y), where Y is the quantity demanded by all consumers at price P. b) Set up the firm's profit function (clearly showing the first order condition) (Y), find profitmaximizing quantity YM and price PM. Calculate firm's profits, consumer surplus and deadweight loss. Illustrate graphically. c) Suppose the firm decides to use two-part tariff as a means of increasing profits. Describe optimal two-part tariff pricing scheme, calculate total quantity produced by the firm, firm's profits, consumer surplus, and deadweight loss. d) Give the definition of perfect price discrimination. Calculate quantity produced and profits if the firm employs this pricing strategy. Compare your results to part (b). What do you notice?