ISL 1979 Problem 59

Determine the maximum value of $x^2 y^2 z^2 w$ for $\{x,y,z,w\}\in\mathbb{R}^{+} \cup\{0\}$ and $2x+xy+z+yzw=1$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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