Dual estimates of the optimal plan model and regional market costs: A relationship

The relationship between linear programming dual estimates for the optimal production plan model and real regional market costs is studied. A two-stage linear programming model is necessary for exact approximation of cost allocation in analyzing with optimal plan estimates. A sign criterion is formulated for analyzing the reliability of the production planning model based on a comparison of the changes in the regional market costs and optimal plan estimates. An example is given to illustrate the analysis of reliability of the solution.