Solve
-John Owns a Hotdog Stand $\mathrm { P } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 74 \mathrm { x } + 80$

Multiple Choice

Solve.
-John owns a hotdog stand. He has found that his profit is represented by the function $\mathrm { P } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 74 \mathrm { x } + 80$ , with $\mathrm { P } ( \mathrm { x } )$ being profits and $x$ the number of hotdogs sold. How many hotdogs must he sell to earn the most profit?

A) 21 hotdogs
B) 43 hotdogs
C) 38 hotdogs
D) 37 hotdogs