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
(4/3, 10/3)
2
(8/3, 20/3)
3
(8/3, 10/3)
4
(4/3, 20/3)

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