Solve the Problem
-The Owner of a Video Store Has $\mathrm { P }$

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 $\mathrm { P } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 80 \mathrm { x } + 72$ , where $\mathrm { x }$ is the number of videos rented daily. Find the maximum profit to the nearest dollar.

A) $\$ 3200$
B) $\$ 1600$
C) $\$ 3272$
D) $\$ 1672$