Matrix tools for the analysis of the balance model and of the linear programming problem

For the Leontief balance model, results are formulated that follow directly from the results for dual systems of linear inequalities. For the same model, cash flow matrices are introduced, a balanced price vector and a balanced production vector are found, and units of measurements for the production vector are determined for which the structures of the balanced vectors coincide. For the linear programming problem, a problem with a matrix criterion is formulated.