X and Y are two positive real numbers such that 2X + Y â‰¤ 6 and X + 2Y â�

Question

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

Options:

A . (4/3, 10/3)

B . (8/3, 20/3)

C . (8/3, 10/3)

D . (4/3, 20/3)

Answer: Option A

-NA-

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