At present a firm is manufacturing 2000 items.

Question:

At present a firm is manufacturing 2000 items. It is estimated that the rate of change of production $P$ w.r.t. additional number of workers $x$ is given by $\frac{\mathrm{dP}}{\mathrm{dx}}=100-12 \sqrt{\mathrm{x}}$. If the firm employs 25 more workers, then the new level of production of items is :

  1. 2500

  2. 3000

  3. 3500

  4. 4500


Correct Option: , 3

Solution:

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