At present, a firm is manufacturing 2000 items. It is estimated that the rate of change…

Mathematics · JEE Main · NTA ExamsIntegral Calculus

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 \(\frac{d P}{d x}=100-12 \sqrt{x}\). If the firm employs 25 more workers, then the new level of production of items is
  1. 2500
  2. 3000
  3. 3500
  4. 4500

Answer

(C) 3500

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