Dynamic modeling of cash flows in the production sphere of the enterprise with the neoclassic function “costs-output”

The article presents new results obtained by the authors in the framework of the continuation of those begun by prof. M.A. Khalikov and his students research on the development and improvement of economic and mathematical tools for models and methods of optimal management of the production area of an enterprise, taking into account the parameters of the external (market) and internal environments. A formal view of a dynamic model of cash flows in the production sphere of an enterprise, for which the dependence in the “input-output” pair is described by a neoclassical dependence, is presented. Criteria, limitations, uncontrollable (exogenous) and controllable (endogenous) parameters of the model are given. A list of production and financial planning and management tasks, for the solution of which a dynamic model and an algorithmic complex can be effectively applied, is presented. A series of empirical calculations of the dynamics of the enterprise’s cash flows for various combinations of controlled parameters was carried out in order to select the most significant ones that determine the dominant trend in the sequence of time intervals that make up the chosen planning horizon. It has been substantiated that among such parameters it is necessary to include the structure of working capital, set by the share of debt financing of the company’s production activities, and the level of deductions from the profit on own investments in working capital. Combinations of these parameters have been selected to ensure a steady growth in the consolidated cash flow of an enterprise in a stable commodity and financial markets.