$\Rightarrow x_1^{b_1}.x_2^{b_2}…x_n^{b_n}\leq\frac{1}{a}.a_1^{b_1}.a_2^{b_2}…a_n^{b_n}$
$\Leftrightarrow S= x_1^{a_1}.x_2^{a_2}…x_n^{a_n}\leq\frac{1}{a^a}.a_1^{a_1}.a_2^{a_2}…a_n^{a_n}$
$\Rightarrow x_i=\frac{a_i}{a}(\forall i=1, 2, …, n)$
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