References for maximizing a product under a sum equality constraint and individual variable inequality constraints

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I am looking for references on the following optimization problem:

maximize $\prod x_i$ under a sum constraint $\sum x_i = 1$ and individual variable constraints $0 \le x_i \le C_i$.

I know the analytic solution (it's pretty simple), but I would love to find a citation on this problem (or some version of it).