x,y,z ∈ R^+ Find the minimum value of this expression ((xyz)/((1+3x)(x+8y)(y+9z)(6+z)))


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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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