$\mathrm{X}$ and $\mathrm{Y}$ are two positive real numbers such that $2 X+Y \leq 6$ and $X+2 Y \leq 8$. For which of the following values of $(X, Y)$ the function $f(X, Y)=3 X+6 Y$ will give maximum value?
(A) $(4 / 3,10 / 3)$
(B) $(8 / 3,20 / 3)$
(C) $(8 / 3,10 / 3)$
(D) $(4 / 3,20 / 3)$

Question ID - 155940 :-

$\mathrm{X}$ and $\mathrm{Y}$ are two positive real numbers such that $2 X+Y \leq 6$ and $X+2 Y \leq 8$. For which of the following values of $(X, Y)$ the function $f(X, Y)=3 X+6 Y$ will give maximum value?
(A) $(4 / 3,10 / 3)$
(B) $(8 / 3,20 / 3)$
(C) $(8 / 3,10 / 3)$
(D) $(4 / 3,20 / 3)$

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