Answer to Question #264265 in Algebra for john

Question

A haunted house charges $15 for entry and last weekend had 500 visitors. They would like to maximize their

profit, but research shows that if they increase the price by a dollar, they would receive 25 fewer visitors.

a. Write a quadratic model P(x), where P is the profit earned from changing the price by x dollars.

b. Will the haunted house be able to earn $8000 in a weekend? Why or why not?

c. How much would they make if they charged $25?

d. What is the maximum that the haunted house could make?