A minor league baseball team called the Billing Mustangs attracts both students and non-students as fans during the season, which runs from mid-April through August. The Mustangs organization has estimated that, among students, weekly demand for tickets varies according to the equation Q=1400 - 200P, where Q is the quanity of tickets sold and P is the price in dollars. Among non-students weekly demand is given by the equation Q = 1000 - 100P. The Mustangs organization earns marginal revenue from students according to the equation MR = 7 - 0.01Q and from non-students according to the equation MR= 10 - 0.02Q.The Mustangs incur a marginal cost of 3$ among all fans. The Mustangs would like to charge different prices for students and non students.
A) How many tickets would the Mustangs sell to students, to maximize profit? What price would the team charge to students?
B) How many tickets would the Mustangs sell to non-students, to max profit? What price would the team change to non-students?
C) Whether selling ticket packs to students or non-students, the Mustangs organization incurs total costs according to the equation TC=300 +3Q. If the Mustangs succeed at price discrimination, how much economic profit (or loss) will the team earn selling tickets to students? How much will it earn selling tickets to non0students? How much total economic profit will the team earn?
D) Suppose the Pioneer League, in which the Billings Mustangs play, prohibits price discrimination in this way and forces the club to chage a single price to all fans. How many tickets would the Mustangs sell to non-students if they charged non-students the students price (part A)? Show that MR does not equal MC in this situation. How many tickets would the Mustangs sell to students if they charged students the non-students price (part B) Show that MR does not equal MR in this situation.