We factor the equation to get:
-(x-25)^2+361
In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.
B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.
Bring them to the same denominator and solve for x
For this case we have an equation of the form:

Where,
h0: initial height
v0: initial speed
a: acceleration
Substituting values we have:

Rewriting we have:

Note: see attached image
Answer:
$376
11692 divided by 36= 47 boxes times $8= $376