1.0 19. (40 points) If the show had not been able to price discriminate, when optimizing by setting MRS+A=MC, it yielded a price of $1000 at ticket to everyone. How many units would have been sold to student? 3.0 20. (420 points) Following #19, what does this tell us must be true about welfare due to price discrimination compared to non-discrimination? Explain your answer. 21. (4.0 pts) Are consumers better off from price discrimination? Are firms better off?Use the following promote for the rest of the test questions: The Broadway show Hamilton is coming to UNC to perform at Memorial Hall for one night. There are two types of consumers interested in the show- current students and rich alumni. The demand curve for the student market is Qs = 300 - 0.4Ps with marginal revenue MRs = 750-5Qs . the demand curve for alumni market segment is QA = 600 - 0.1PA with marginal revenue MRA = 6000-20QA . In each equation, Q denotes the number of tickets purchased and Pi denotes the ticket price. If the two types of consumers are in the market, the marginal revenue is MR= 1800-4Q. The cost function is C(Q)= 200Q and the marginal cost of serving either customer is MC=200