Solve the Problem $\mathrm { P }$ Of the Store Are Approximately Given By

Multiple Choice

Solve the problem.
-The owner of a video store has determined that the profits $\mathrm { P }$ of the store are approximately given by $P ( x ) = - x ^ { 2 } + 150 x + 71$ , where $x$ is the number of videos rented daily. Find the maximum profit to the nearest dollar.

A) $\$ 5696$
B) $\$ 5625$
C) $\$ 11,321$
D) $\$ 11,250$