Model of nonlinear dynamics of development of multicomponent manufacturing enterprises, taking into account the effect of investment lag

The published article proposes a generalization of the economic and mathematical model of the dynamics of development of a multi-industry enterprise, the resources of each production of which are restored by introducing internal lagging investments. The model of such a multi-industry enterprise is presented in the form of systems of coupled differential equations with respect to production factors. It is established that the marginal values of production factors are stationary solutions of systems of differential equations. It is shown that the most efficient operation of the considered multi-industry enterprise will be achieved only when the marginal values of production factors coincide with the values of the resources used, which correspond to the maximum values of profit for each production component. For a two-component production enterprise, calculation models of output, costs and profit for each component and for the entire enterprise are constructed. Numerical solutions of the corresponding system of differential equations are given, on the basis of which integral curves are constructed for production factors, output and profit for each component of the enterprise and for the entire enterprise as a whole.