A Two-Fraction Cyclic Minimum

★ 8/10Extrema Substitution algebra AM-GM inequality

Problem

Positive reals $x, y, z, w$ satisfy $x \ge y \ge w$ and $x + y \le 2(z + w)$ . Find the minimum of

\frac{w}{x} + \frac{z}{y}.

Answer

Solution

Difficulty	8/10
Topics	Extrema, Substitution, algebra, AM-GM, inequality

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