Solve the Problem $\mathrm { P } ( \mathrm { x } ) = 4 \sqrt { \mathrm { x } }$

question 4

Multiple Choice

Solve the problem.
-Assume that the profit generated by a product is given by $\mathrm { P } ( \mathrm { x } ) = 4 \sqrt { \mathrm { x } }$ , where $x$ is the number of units sold. If the profit keeps changing at a rate of $\$ 400$ per month, then how fast are the sales changing when the number of units sold is 2000 ? (Round your answer to the nearest dollar per month.)

• A) \(\$ 4472 /\) month
• B) \(\$ 143,108 /\) month
• C) \(\$ 4 /\) month
• D) \(\$ 8944 /\) month

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Definitions:

OSHA

The Occupational Safety and Health Administration, a U.S. government agency responsible for enforcing workplace safety and health regulations.

Worker Safety

Policies, procedures, and measures implemented to ensure the health and safety of employees in their workplace.

Hypotheses Testing

A statistical approach that employs data from a sample to test a theory regarding a population attribute.

Population Proportions

The ratio of a particular group within a population to the entire population.