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

---

Definitions:

Slavery

A system where individuals are owned by others, deprived of personal freedom and compelled to work without wages.

Urban

Pertaining to cities or towns; characterized by higher population density and vast human features in contrast to rural areas.

Seacoast Cities

Urban areas located directly on the coast or shoreline, often characterized by their significant roles in trade, shipping, and economic development due to their access to maritime routes.

Slave

A person who is legally owned by another person and is forced to obey them, deprived of personal freedom.