The true statement for function f(x, y) = \(\left(xy+\frac{a^{3}}{x}+\frac{a^{3}}{y}\right) \) is :

1
the maximum value is 3a2.
2
the minimum value is 3a2.
3
no maxima or minima exists.
4
the extreme value exists at (−a, −a).

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