以类似投入产出的方法,采用商品—生产过程模式对n种商品的联合生产进行了定义并建立起方程组,在实物量的基础上导入了价格、利率因子、生产强度以及经济扩张系数等概念,采用单纯形等线性规划的方法,并结合拓扑学的凸集与聚点的思想,利用布劳威尔不动点定理进行了论证与求解(鞍点的值)。由此揭示了联合生产的重要特征,求出了在不考虑价格情况下的最大经济扩张因子,以及在不考虑生产强度情况下的最低利率因子。 In a similar way to the input-output method, the joint production of n kinds of commodities is defined and the system of equations is established using the commodity-production process model. Price, interest rate factor, production intensity and economic expansion coefficient are introduced on the basis of physical quantity Concept, using simplex and other linear programming methods, combined with the idea of ​​topological convex sets and poly points, the use of Brouwer fixed point theorem was demonstrated and solved (saddle point value). This reveals the important features of co-production, finds the maximum economic expansion factor irrespective of price, and the lowest interest rate factor irrespective of production intensity.