Solve the Given Problem by Using Substitution $S = x y + 25 x z + 5 y z$

Solve the given problem by using substitution.
Minimize $S = x y + 25 x z + 5 y z$ subject to $x y z = 1$ with $x > 0$ , $y > 0$ , $z > 0$ .

A) $S _ { \min } = 20$
B) $S _ { \min } = 15$
C) $S _ { \min } = 5$
D) $S _ { \min } = 25$
E) $S _ { \min } = 1$

Correct Answer:

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