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JEE Math Practice 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 $${{dp} \over {dx}} = 100 - 12\sqrt x .$$ If the firm employs $$25$$ more workers, then the new level of production of items is

  1. A.$$2500$$
  2. B.$$3000$$
  3. C.$$3500$$
  4. D.$$4500$$

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