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MHT CET20226 Aug 2022Evening ShiftMathematicsApplication of DerivativesActual

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 d p d x =100-12 x . If the firm employs 25 more workers, then the new level of production of items is

Options

  1. A2500
  2. B3000
  3. C3500
  4. D4500

Correct answer

C. 3500

Step-by-step solution

aligned & d p d x =100-12 x d p= (100-12 x ) d x & p=100 x-12 2 3 x^ 3 / 2 +C & p=100 x-8 x^ 3 / 2 +200[ at x=0, p=2000] & p=100 25-8 (25)^ 3 / 2 +2000[ putting x=25] & p=2500-1000+2000=3500 aligned

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