Supply Chain with Coordination and a Dominant Retailer

We studied a supply chain replenishment policy by an algebraic approach such that some practitioners without the knowledge of calculus still can realize this kind of research topic. Under two extra conditions and one weaker condition proposed by us, we show that our algebraic approach obtained the same formulated optimal solution as that of an analytic method proposed by previous papers. Hence, we point out previous findings are incomplete and then we provide our revisions.