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KVPY2017MathematicsApplication of Derivatives

Suppose p, q, r are real numbers such that q=p(4-p), r=q(4-q), p=r(4-r) The maximum possible value of p + q + r is

Options

  1. A0
  2. B3
  3. C9
  4. D27

Correct answer

C. 9

Step-by-step solution

Add all these p+q+r= p²+q²+r² 3 for maximum value p =3, q =3, r =3 Answer is 9 .

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