I want to minimize the following function:
$\prod_{i=1}^{n}{x_i}$
Subject to the following constraints:
$\sum_{i=1}^{n}{x_i}=1.1+(n-1)(0.1)$ and $0.1 \leq x_i \leq 1.1$
How should I go about it? I am trying to check if the minimum value is achieved when one of the $x_i$'s is 1.1 and everyone else is 0.1.