2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163907Given linear diophantine equation Ax=b, rank A=m. Let d be the maximum of absolute values of the mxm minors of the matrix (A | b). It is shown that if M={x : Ax=b, x nonnegative and integer} is nonempty, then there exists x=(x1,...,xn) in M, such that xi does not exceed d (i=1,2,..,n).Optimization and ControlNumber Theorytext