Question

How do I find the ticket price so that I can also find the maximum profit?

Answer 1

We have a quadratic equation of the form:

`f(x)=at^2+bt+c`

Let:

P(t) = Profit

`\begin{gathered} P(t)=-t^2+27t-112 \\ _{\text{ }}where\colon \\ a=-1 \\ b=27 \\ c=-112 \end{gathered}`

Using the formula provided by the problem:

`\begin{gathered} h=-(b)/(2a) \\ so\colon \\ h=-(27)/(2(-1)) \\ h=13.5 \end{gathered}`

Answer:

$13.5