x-y-z-R-Find-the-minimum-value-of-this-expression-xyz-1-3x-x-8y-y-9z-6-z-

Question Number 160908 by naka3546 last updated on 10/Dec/21

x, y, z \in R^{+}

F i n d t h e m i n i m u m v a l u e o f t h i s e x p r e s s i o n

\frac{x y z}{(1 + 3 x) (x + 8 y) (y + 9 z) (6 + z)}

Commented by mr W last updated on 25/Dec/21

d o y o u k n o w t h e s o l u t i o n ?

i t h i n k t h e r e e x i s t s n o m i n i m u m a n d

n o m a x i m u n, s i n c e w i t h x = y = z \to 0

i t \to + \infty a n d w i t h x = y = z \to \infty i t \to 0 .

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