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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 it 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.

The Management Of An Electronics Firm Has Determined That The Profit The Company Earns Is A Function Of Thenumber Of Employees It Has The Function IsPx Ln4x 1 3 class=

Answer :

we have the function

[tex]P(x)=\ln\left|4x+1\right|+3x-x^2[/tex]

For x=2

substitute

[tex]\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}[/tex]

therefore

the answer is 4.20 million dollars

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