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2011 AIME II Problems/Problem 9

Revision as of 18:09, 31 March 2011 by Pkustar (talk | contribs)

Let $x_1, x_2, ... , x_6$ be nonnegaative real numbers such that $x_1 +x_2 +x_3 +x_4 +x_5 +x_6 =1$, and $x_1 x_3 x_5 +x_2 x_4 x_6 \ge \frac{1}{540}$.

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