Question 1193232
An amusement park usually charges $34 per ticket and averages 500 visitors per day.
 A study shows that if the park raises its price by $1 per ticket, it will lose 125 visitors per day.
 What price should the park charge per ticket, to maximize the revenue?
:
let x = no. of dollars per ticket raised
:
Revenue = ticket price * no. of visitors
R(x) = (34+x)(500-125x)
FOIL
R(x) = 17000 - 4250x + 500x - 125x^2
Arrange as a quadratic equation, R(x) = y
y = -125x^2 - 3750x + 17000
Find the Axis of symmetry using x = -b/(2a), where b=-3750, a=-125
:
It's obvious that his would not be a good business decision. 
If you raised it 1 dollar and lost 125 visitors, the revenue would go down from 17000 to 13125 (35*375)