Quadratic equation and maximizing using algebra
1. Solve this problem by writing a quadratic equation and maximizing it using algebra.
Motel managers advertise that they will provide dinner, dancing, and drinks for $50 per couple for a New Year's Eve party. They must have a guarantee of 30 couples. Furthermore, they agree that for each couple in excess of 30, they will reduce the price per couple for all attending by $0.50.
A) How many couple will it take to maximize the morel's revenue?
B)What is the maximum revenue for the motel?