Solve the Problem
-John Owns a Hot Dog Stand $\mathrm { P } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 70 \mathrm { x } + 82$

question 402

Multiple Choice

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

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

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