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MHT CET202311 May 2023Evening ShiftMathematicsDifferentiationActual

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 worker x is given by dp d x =100-12 x . If the firm employees 9 more workers, then the new level of production of items is

Options

  1. A1684
  2. B1648
  3. C2116
  4. D1116

Correct answer

A. 1684

Step-by-step solution

array ll & dP d x =100-12 x & Integrating both sides, we get & dp = (100-12 x ) d x & P =100 x-8 x x + c & Given that P =1000, when x=0 & 1000=100(0)-8(0)+ c c =1000 & & P =100 x-8 x x +1000 & When x=9, we get & P =900-216+1000=1684 array The new level of production of items is 1684 .

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