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This note solves the following problem: For vi > 0 and 0 d Vm1, ', mn = âi=1i=nvi1-dmi with respect to m1, ', mn, subject to the conditions that the mi are nonnegative integers and âi=1i=nmi = M an integer. The solution is obtained by a simple rounding procedure applied to the well known solution of the corresponding continuous problem.

Technical Note—An Integer Maximization Problem