Static interidustry model of the region in the optimization statement

The article considers the regional static interindustry model with restrictions on resources and production capacity. The interindustry model is presented in the optimization statement with the criterion for maximizing the total number of private consumption sets. The choice of the optimal state of the regional interindustry economy is carried out within a short-term period with fixed values of production capacities and resources. In addition, assortment coefficients of the consumptive use structure are assumed to be unchanged for a certain period. Based on the given values of the resource capacity of output goods and the coefficients of direct production costs, we have determined the values of the coefficient vector of the total resource costs for a linear optimization model. As a result of solving the model, we define the maximum value of private consumption set and its positive dual assessment, which shows the possibilities of regional economy growth with the weakening of restrictions on scarce resources. The regional input-output table based on the results of optimization calculations corresponds to the best balanced state of the regional economy taking into account resource constraints. For greater maneuvering with scarce resources, it is advisable to include various methods of producing such goods in the optimization interindustry model of the region.