Use a Graphing Utility to Graph the Function and Then $P = - x ^ { 2 } + 54 x + 73$

Multiple Choice

Use a graphing utility to graph the function and then answer the question.
-John owns a hotdog stand. He has found that his profit is represented by the equation $P = - x ^ { 2 } + 54 x + 73$ , with P being profits and x the number of hotdogs. How many hotdogs must he sell to earn the most profit?

A) 46 hotdogs
B) 27 hotdogs
C) 28 hotdogs
D) 23 hotdogs