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 $P ( x ) = - x ^ { 2 } + 120 x + 67$ , where $x$ is the number of videos rented daily. Find the maximum profit to the nearest dollar.

A) \$3667
B) $\$ 3600$
C) $\$ 7267$
D) $\$ 7200$