John Owns a Hot Dog Stand $\mathrm{P}(\mathrm{x})=-\mathrm{x}^{2}+70 \mathrm{x}+82$ , Where $\mathrm{x}$ Is the Number of Hot Dogs Sold

Multiple Choice

John owns a hot dog stand. He has found that his profit is given by the equation $\mathrm{P}(\mathrm{x}) =-\mathrm{x}^{2}+70 \mathrm{x}+82$ , where $\mathrm{x}$ is the number of hot dogs sold. How many hot dogs must he sell to earn the most profit?

A) 23 hot dogs
B) 47 hot dogs
C) 36 hot dogs
D) 35 hot dogs