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. 13. (4.0 points) Assume the show can implement third-degree price discrimination, and charge a different per- customer price in each segment. What is the profit-maximizing number of tickets sold to students? = 250 14. (4.0 points) What is the profit maximizing price charged to students? X - 3 00 - 0. 4 ( 125 ) = 300-50 = 125 (= 25 PO how did you get s 15. (4.0 points) Assume the show can implement third-degree price discrimination, and charge a different per- customer price in each segment. What is the profit-maximizing number of tickets sold to X alumni? c Cay = 20 0 a 16. (4.0 points) What is the profit maximizing price charged to alumni? = 0 (unable to Lind thex 4 4 860 fit maximizing price )9. (4.0 points) Suppose 60 price taking firms engage in competition in a market. There are 20 firms of type A with cost CA(q) = 250+25q+0.1q2and MC= 25+ 0.2q . Then there are 20 firms of type B have cost CB(q) = 250+50q+0.1q2 and MC= 50+ 0.2q . The remaining 20 firms are type C and have a cost function given as Cc(q) = 150+100q+0.1q2 and MC= 100+ 0.2q. Below is a graphical representation of the aggregate supply curve. The blue section of the curve represents when all firms are participating in the market. The red section of the curve represents when only type A and B firms are in the market. What is the individual supply curve of a type B firm? A. qB= 5P - 125 if P>75 B. qB= 5P - 250 if P>20 C. qB= 5P - 500 if P>60 (D. qB= 5P - 250 if P>60 E. qB= 5P - 125 if P>90 F. qB= 5P - 125 if P>20 G. qB= 5P - 250 if P>75 90 75 60 20 QV8. (4.0 points) Suppose 20 price taking firms engage in competition in a market. there are 10 firms of type 1 with cost Ci(q) = 160+25q+0.1q2and MC= 25+ 0.2q . The remain 10 firms of type 2 have cost C2(q) = 160+50q+0.1q2 and MC= 50+ 0.2q . what is the individual supply curve of a type 2 firm? A. q2= 5P - 125 if P>50 B, q2= 5P - 250 if P>58 C. q2=5P - 125 if P>35 D. q2= 5P - 250 if P>33