It may appear logical to assume that the optimum solution will require the first (second) set of inequalities to be replaced with equations if ∑ai ≥ ∑bj (∑ai ≤ ∑bj).
It may appear logical to assume that the optimum solution will require the first (second) set of inequalities to be replaced with equations if ∑ai ≥ ∑bj (∑ai ≤ ∑bj).