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KCET2021MathematicsBasics of Mathematics

The cost and revenue functions of a product are given by c(x)=20 x+4000 and R(x)=60 x+2000 respectively, where x is the number of items produced and sold. The value of x to earn profit is

Options

  1. A>50
  2. B>60
  3. C>80
  4. D>40

Correct answer

A. >50

Step-by-step solution

Given, C(x)=20 x+4000 aligned &R(x)=60 x+2000 &x= number of items produced and sold & To earn profit, R(x)-C(x)>0 & 60 x+2000-20 x-4000>0 & 40 x-2000>0 & 40 x>2000 & x>50 aligned

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