Modern scientific research in economics cannot be imagined without the use of economic and mathematical models and their subsequent analysis. Foreign economic literature contains a significant proportion of articles of both theoretical and applied nature, dominated by mathematical models used to substantiate the assumptions made and the most accurate calculation of economic efficiency. A number of economists very convincingly confirm that the recognition of any theoretical study of an economic nature is determined by the measure of the mathematical formalization of the problem, the adequacy of the mathematical apparatus used and the effectiveness of the final results obtained as a result of the study. In this regard, the article discusses the urgent problem of developing a mathematical model of optimal enterprise management. The authors propose an approach to the selection of the most appropriate modeling, taking into account the restrictions imposed on the boundary states of the system that describes the economic component of the enterprise. The use of classical mathematical approaches with their subsequent adaptation to modern conditions is given and substantiated..

No abstract