Solve the Problem $P ( x ) = - x ^ { 2 } + 12 x + 44$

Multiple Choice

Solve the problem.
-John owns a hotdog stand. His profit is represented by the equation $P ( x ) = - x ^ { 2 } + 12 x + 44$ , with $P$ being profits and $x$ the number of hotdogs sold. What is the most he can earn?

A) $\$ 80$
B) $\$ 36$
C) $\$ 104$
D) $\$ 68$