Solve the Problem $$P ( x ) = - x ^ { 2 } + 50 x + 62$$

Multiple Choice

Solve the problem.
-The owner of a video store has determined that the profits P of the store are approximately given by $$P ( x ) = - x ^ { 2 } + 50 x + 62$$ where x is the number of videos rented daily. Find the maximum profit to the nearest dollar.

A) $1312
B) $625
C) $1250
D) $687