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Please se pic. i just need profit when producing 40 items and 50 items

Please se pic. i just need profit when producing 40 items and 50 items-example-1

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Solution

- The solution steps are given below:


\begin{gathered} \text{ The profit function is given by:} \\ P(x)=R(x)-C(x)=-0.5\left(x-90\right)2+4050-(50x+250) \\ P(x)=90-x+4050-50x-250 \\ P(x)=3890-51x \\ \\ \text{ When }x=40: \\ P(40)=3890-51(40)=1850 \\ \\ \text{ When }x=50: \\ P(50)=1340 \\ \\ \text{ Since }P(40)\text{ is greater, they should use }x=40 \end{gathered}

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