Solve the Problem $$P ( x ) = - x ^ { 2 } + 150 x + 54$$

Multiple Choice

Solve the problem.
-The owner of a video store has determined that the profits P of the store are approximately given by $$P ( x ) = - x ^ { 2 } + 150 x + 54$$ , where x is the number of videos rented daily. Find the maximum profit to the nearest dollar.

A) $5,625
B) $11,304
C) $11,250
D) $5,679