# Maxima Minima

Algebra Level 4

$\Large \dfrac x{y}+ \dfrac z{12x} + \frac{4y}{x} + \dfrac x{3z}$ If $$\large x,y,z$$ are positive real numbers, for what ratio of $$\large y$$ and $$\large z$$ is the value of above expression minimum ?

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