Solve the Problem
-John Owns a Hotdog Stand $\mathrm { P } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 12 \mathrm { x } + 45$

Multiple Choice

Solve the problem
-John owns a hotdog stand. His profit is represented by the equation $\mathrm { P } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 12 \mathrm { x } + 45$ , with $\mathrm { P }$ being profits and $x$ the number of hotdogs sold. What is the most he can earn?

A) $81
B) $117
C) $63
D) $36