A clever sports economics student asked the athletic director at that university to dig back into historical records for data on attendance and prices at the college's tennis matches. The student's research revealed the following attendance demand function for alumni and other boosters: PB = 24 - (1/20) AB PB equals the booster price (in dollars) and AB = booster attendance (in number of people) a. Draw this attendance demand function. b. Does this tennis team have market power over boosters? Why or why not? c. What is the highest possible total revenue that the team can hope to collect? At what attendance level? At what price? In addition to the booster demand function, our clever student also discovers that the demand by students for attendance at the same tennis matches and the same seat types is as follows: PS = 12 - (1/23) AS PS equals the student price (in dollars) and AS = student attendance (in number of people) d. Show why the students will be charged a lower price than the boosters for the same event and seat type. e. What is the ratio of booster price to student price if the athletic director cares about the bottom line? e. Is this price discrimination?