Question 173
Let $x$, $y$, $z$ be real numbers such that $x + y + z \neq 0$. Find the minimum value of
$$
\frac{|x| + |x + 4y| + |y + 7z| + 2|z|}{|x + y + z|}
$$
$$
\frac{|x| + |x + 4y| + |y + 7z| + 2|z|}{|x + y + z|}
$$
MathNet 2023-part-02 — 191 problems (EN–VI) Question 173
Math Olympiad Vault · MathNet 2023-part-02 — 191 problems (EN–VI)