Solve the Problem $$P ( x ) = - x ^ { 2 } + 150 x + 54$$

question 87

Multiple Choice

Solve the problem.
-The owner of a video store has determined that the profits P of the store are approximately given by $$P ( x ) = - x ^ { 2 } + 150 x + 54$$ , where x is the number of videos rented daily. Find the maximum profit to the nearest dollar.

• A) $5,625
• B) $11,304
• C) $11,250
• D) $5,679

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Definitions:

Circadian Theory

A theory that explains the 24-hour cycle of physiological processes of living beings, including the sleep-wake cycle, influenced by external cues like light and temperature.

NREM Sleep

Non-Rapid Eye Movement Sleep, a restorative sleep phase that includes stages 1 through 3, characterized by progressively deeper levels of relaxation and reduced physiological activity.

Growth Hormone

A peptide hormone that stimulates growth, cell reproduction, and cell regeneration in humans and other animals.

Brain Activity

The functioning of the brain involving complex processes signaled by electrical impulses and chemical neurotransmitters.