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:

Measure of Dispersion

A statistical parameter that describes the spread or variability of a distribution around its central measure (such as mean or median).

Minimum

The lowest value in a data set.

Maximum

The highest or greatest amount, value, or level that can be achieved or recorded.

Anomalous Data

Data that appear suspicious or are not anticipated by a researcher.