Suppose there are three types of consumers who attend concerts at your university's performing arts center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. There is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. For each concert:

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Suppose there are three types of consumers who attend concerts at your university's performing arts
center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets;
within each group, willingness to pay is identical. There is a fixed cost of $1,000 to put on a concert, but
there are essentially no variable costs.
For each concert:
•
.
There are 150 students willing to pay $20.
There are 220 staff members willing to pay $35.
There are 100 faculty members willing to pay $50.
a. If the performing arts center can charge only one price, what price should it charge?
b. What are profits at this price?
c. If the performing arts center can price-discriminate and charge two prices, one for students and another
for faculty/staff, what are its profits?
d. If the performing arts center can perfectly price-discriminate and charge students, staff, and
faculty three separate prices, what are its profits?
Transcribed Image Text:Suppose there are three types of consumers who attend concerts at your university's performing arts center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. There is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. For each concert: • . There are 150 students willing to pay $20. There are 220 staff members willing to pay $35. There are 100 faculty members willing to pay $50. a. If the performing arts center can charge only one price, what price should it charge? b. What are profits at this price? c. If the performing arts center can price-discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? d. If the performing arts center can perfectly price-discriminate and charge students, staff, and faculty three separate prices, what are its profits?
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