Maxima Minima

Algebra Level 4

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

1:2 1:3 1:4 1:6

Ravneet Singh by Ravneet Singh , 30, India

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