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3 months ago

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The management of an electronics firm has determined that the profit the company earns is a function of thenumber of employees i

t has. The function isP(x) = ln(4x + 1) + 3x - x²where P(x) is the profit (in millions of dollars), and x is the number of employees (in thousands). What will theprofit be if the firm has 2,000 employees (x = 2)? Round the answer to two decimal places and make sure toinclude the units.

1 answer:

ruslelena [56]3 months ago

6 0

we have the function

$P(x)=\ln\left|4x+1\right|+3x-x^2$

For x=2

substitute

$\begin{gathered} P(x)=\operatorname{\ln}\lvert4(2)+1\rvert+3(2)-(2)^2 \\ P(x)=\operatorname{\ln}\lvert9\rvert+2 \\ P(x)=4.20\text{ millions of dollars} \end{gathered}$

therefore

<h2>the answer is 4.20 million dollars</h2>

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