The income of the amusement park is a function of the price of the ticket
The entry price that will result in no income is $24
How to determine the entry price that results in no income
The expression for the income is given as:
[tex]96x - 4x^2[/tex]
When the income is 0, we have the following equation
[tex]96x - 4x^2 = 0[/tex]
Factor out 4x
[tex]4x(24 - x) = 0[/tex]
Split the equation
4x = 0 or 24 - x = 0
Solve for x
x = 0 or x = 24
This means that, the entry price that will result in no income is $24
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