Models of the dynamics of maximal and optimal profits of a manufacturing enterprise implementing technological innovations

Abstract

The published article presents new mathematical models that describe the dynamics of the development of manufacturing enterprises using innovative technologies. It is shown that the level of use of innovative technologies in an enterprise depends on dimensionless coefficients that describe the diffusion process of introducing technological innovations and affect the increase in output and cost reduction. The dependence of the enterprise's profit on the levels of production and transaction costs has been studied. It has been established that the formation of transaction costs arising from the search and processing of economic information, financing of negotiation procedures, conclusion of contracts with partners, protection of property rights and payment for the opportunistic behavior of employees and management of the enterprise, force the management of the enterprise to maximize not only the profit function, but also the target a transactional utility function that takes into account the redistribution of profits in the interests of the enterprise's management and for the implementation of socially-oriented programs. Dimensionless redistribution coefficients are calculated, which determine the size of the part of the profit that is used for non-production purposes. It is shown that in the presence of transaction costs, the limiting value of the enterprise's profit is not its maximum possible value, but its lower optimal value.