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(B) Let $x_1, x_2, \dots, x_n$ be $n$ positive numbers such that $x_1 	imes x_2 	imes \dots 	imes x_n = 1$ $(1)$.By the Arithmetic Mean-Geometric M

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$n$

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(B) Let $x_1, x_2, \dots, x_n$ be $n$ positive numbers such that $x_1 	imes x_2 	imes \dots 	imes x_n = 1$ $(1)$.By the Arithmetic Mean-Geometric Mean inequality $(AM \ge GM)$:$\frac{x_1 + x_2 + \dots + x_n}{n} \ge (x_1 	imes x_2 	imes \dots 	imes x_n)^{1/n}$.Substituting $(1)$ into the inequality:$\frac{x_1 + x_2 + \dots + x_n}{n} \ge (1)^{1/n} = 1$.Therefore,$x_1 + x_2 + \dots + x_n \ge n$.

The product of $n$ positive numbers is $1$. The sum of these numbers cannot be less than what value?

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