X and Y are two positive real numbers such that 2X + Y ≤ 6 and X + 2Y ≤ 8. For…

GATE · 2013 · AR · General Aptitude

X and Y are two positive real numbers such that 2X + Y ≤ 6 and X + 2Y ≤ 8. For which of the following values of (X,Y) the function f(X,Y) = 3X + 6Y will give maximum value?

  1. A.

    (4/3, 10/3)

  2. B.

    (8/3, 20/3)

  3. C.

    (8/3, 10/3)

  4. D.

    (4/3, 20/3)

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