Step-by-Step Bounds

Problem

Real numbers $a, b, c, d$ satisfy $a \geqslant b \geqslant d > 0$ and $a + b - 3c - 3d \leqslant 0$ . Find the minimum value of

\frac{bd + ac}{ab}.

Answer

Solution

Difficulty	7/10
Topics	Substitution, AM-GM, inequality

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