This paper presents a single-period mathematical programming model NLMIP of a 5-stage supply chain with multiple possibilities of organizational ownership that allows several distribution channel links. The objective of the model is to optimize profit after tax, taking into account transfer prices, economies of scale, agreements between agents, demand and inventory issues, among other relevant aspects, specially in an idealised domestic environments. Finally, a solution procedure is presented for the problem associated with the NLMIP mathematical programming model proposed, that gives an optimal solution in satisfactory computational time. The model was validated using an experiment based on computational simulations.