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RU-ALLRUSSIAN 1988 Problem 15

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What is the minimal value of b/(c+d)+c/(a+b)\mathrm{b} / (\mathrm{c} + \mathrm{d}) + \mathrm{c} / (\mathrm{a} + \mathrm{b}) for positive real numbers b and c and nonnegative real numbers a and d such that b+c≥a+d\mathrm{b} + \mathrm{c} \geq \mathrm{a} + \mathrm{d} ?

Dataset text NuminaMath olympiads. Quoted with source.

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\sqrt{2} - 1 / 2

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