Solve the Problem $P ( x ) = - x ^ { 2 } + 56 x + 71$

question 186

Multiple Choice

Solve the problem.
-John owns a hot dog stand. He has found that his profit is represented by the equation $P ( x ) = - x ^ { 2 } + 56 x + 71$ , with $P$ being profits and $x$ the number of hot dogs sold. How many hot dogs must he sell to earn the most profit?

• A) 43 hot dogs
• B) 21 hot dogs
• C) 29 hot dogs
• D) 28 hot dogs

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.