SOLUTION: The owner of a video store has determined that the profits P of the store are approximately given by P(x)=-x^+80x+63, where x is number of videos rented daily. Find the maximum pr

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The owner of a video store has determined that the profits P of the store are approximately given by P(x)=-x^+80x+63, where x is number of videos rented daily. Find the maximum pr      Log On


   

Question 1103716: The owner of a video store has determined that the profits P of the store are approximately given by P(x)=-x^+80x+63, where x is number of videos rented daily. Find the maximum profit to the nearest dollar.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you mean -x^2(?).
Convert to vertex form to find the maximum.
P%28x%29=-x%5E2%2B80x%2B63
P%28x%29=-%28x%5E2-80x%2B40%5E2%29%2B63%2B40%5E2
P%28x%29=-%28x-40%29%5E2%2B1663
The maximum occurs at the vertex (40,1663).