Solve the Problem $P ( x ) = - x ^ { 2 } + 14 x + 57$

Multiple Choice

Solve the problem.
-John owns a hot dog stand. His profit, in dollars, is given by the function $P ( x ) = - x ^ { 2 } + 14 x + 57$ , where $x$ is the number of hot dogs sold. What is the most he can earn?

A) $\$ 99$
B) $\$ 120$
C) $\$ 106$
D) $\$ 49$