Question 74
Prove that, for positive $x$, $y$, $z$, the following inequality holds:
$$
(x + y + z)(4x + y + 2z)(2x + y + 8z) \geq \frac{375}{2}xyz.
$$
$$
(x + y + z)(4x + y + 2z)(2x + y + 8z) \geq \frac{375}{2}xyz.
$$
MathNet 2015-part-01 — 191 problems (EN–VI) Question 74
Math Olympiad Vault · MathNet 2015-part-01 — 191 problems (EN–VI)