Question

The manager of an amusement park is considering raising the price of admission to increase revenues. She determines that if she rises the admission price by x dollar the total daily revenues for the park can be aproximated by the fuction R(x) given below

Answer 1

Given that the total daily revenues for the park can be approximated by this function:

`R(x)=-404x^2+13,300x+1,230,000`

Where the admission price is increased by "x" dollars.

In order to determine the daily revenue if the manager of the amusement park increases the cost of admission by $5, you need to set up that:

`x=5`

Now you have to substitute that value of "x" into the function and evaluate:

`R(5)=-404(5)^2+13,300(5)+1,230,000=179,400`

Hence, the answer is:

`\text{ \$}179,400`