1) In the spring school is sponsoring a concert featuring the band. The University has determined that the demand for tickets in the area is:
P = 30 - 0.01Q
The cost of throwing this concert is a fixed amount of $22,000 (that pays for the band, security, a stage, etc.)
a. What price should do you charge if it wants to maximize its revenue from this concert? And, how much revenue will it receive?
b. What price should you charge if it wants to maximize attendance? How much revenue will it receive? And, how many people should they expect to see attend the concert at this price
c. What price should you charge to maximize its profits and how much profit will it receive?