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 Q = 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 P 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=200.1. 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?17. (4.0 points) What is the firm's total profit? 18. (4.0 points) How much total consumer surplus is generated?As discussed in class, multiple forms of price discrimination can be utilized in a firm's pricing strategy. Let there be matinee and prime time showings. The matinee tickets sell for cheaper than the prime night time shows. 22. (4.0 points) What type of price discrimination does this describe? 23. (4.0 points) What do you expect the effect is on profit by having two types of price discrimination (student discounts and matinee pricing)? Why do these two price discriminations lead to this effect? (think about the definition of price discrimination and why ist degree leads to most profits)