Given that the total daily revenues for the park can be approximated by this function:
[tex]R(x)=-404x^2+13,300x+1,230,000[/tex]
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:
[tex]x=5[/tex]
Now you have to substitute that value of "x" into the function and evaluate:
[tex]R(5)=-404(5)^2+13,300(5)+1,230,000=179,400[/tex]
Hence, the answer is:
[tex]\text{ \$}179,400[/tex]
