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Firm's production with dP/dx = 100 - 12 sqrt(x): new production after employing more workers

The same question, asked 2 times: May 2022 S1*, 11 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    May 2022 S1

    130
    A firm is manufacturing 2000 items. It is estimated that the rate of change of production P with respect to additional number of workers x is given by dPdx=100−12x\frac{dP}{dx} = 100 - 12\sqrt{x}. If the firm employs 25 more workers, then the new level of production of items is

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  2. Question 2

    11 May 2024 S2

    122
    At present a firm is manufacturing 1000 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by dPdx=100−12x\frac{dP}{dx}=100-12\sqrt{x}. If the firm employs 9 more workers, then the new level of production of items is

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