The article deals with eSports as a perspective kind of commercial activity. The research urgency is determined by the fact that, given the active increase of eSports market with growth rates of more than 30% per year, the types of commercial activities in this field and in scientific papers are not studied in an adequate degree. The purpose of the article is to evaluate the commercial activity development in eSports and to determine the perspectives for its further growth in Ukraine. In order to determine the key types of commercial activity in eSports, the main sources of revenue in this area compared to sports were investigated, which showed a large unrealized potential for increasing revenues from the sale of tickets to competitions, the realization of broadcasting rights and merchandising. The study also showed that the largest number of income sources in eSports is at the stage of cyber-tournaments, which can be explained by a large consumer audience at this stage. However, unlike the esports world practice, computer game producers and well-known manufacturers of consumer goods in Ukraine do not finance domestic competitions, and, therefore, this stage of commercial activity remains at a low level. In modern conditions, among the types of eSports activities in Ukraine, only the computer games production and the cyber-racers game are properly developed. According to authors, to improve the eSports development in Ukraine, creating the national system of regular eSports competitions is needed, which will form the basis for the development of most types of commercial activities that are part of the cyber-tournaments. To do this, one needs to create appropriate platforms, as well as improve communications with fans in social networks and at amateur competitions. All this will make eSports a highly profitable business in Ukraine.

Purpose. To build economic and mathematical model of impacts of investment from internal sources on the profit of an industrial enterprise. Methodology. An economic and mathematical model of enterprise operations is built to enable development of methods for analyzing the impact of the internal investment amount on the profit of an industrial enterprise through considering specific features of its operation. The research involves methodological principles of economic cybernetics, namely the representation of the enterprise as a multipolar object with an unknown structure. Application of the systemic approach enables comprehensive investigation of the process of the amount of internal investment impacting profits of this enterprise. The use of structural synthesis underlies determination of the type of economic and mathematical model without considering its parameters. Findings. Mathematical modeling of operation of an industrial enterprise as a complex object enables numerical determination of the impact of the internal investment amount on the profit of an industrial enterprise. This approach makes it possible to use regression models to obtain an analytical dependence of the enterprise profit on the size of its internal investment. Theoretical research results in the determined sequence of building an economic and mathematical model of internal investment amount impacts on profits. It is proved expedient to divide the process of building a model of an industrial enterprise operation into two stages: structural synthesis and identification of model parameters. Originality. For the first time, an economic and mathematical model of operation of an industrial enterprise in the form of a black box has been used to analyze the impact of internal investment of an industrial enterprise on its profits. Practical value. Analysis of results of economic and mathematical modeling of the PJSC PivdHZK operation proves expediency of estimating the statistical dependence of the profit on the amount of internal investment. It is recommended to introduce the developed system-logical scheme in the investment practice of enterprises.

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The purpose of the article is to model the activities of an industrial enterprise as an independent economic unit in order to increase the profit of the enterprise in terms of economic efficiency.Method. In the course of the research the methodology of economic-mathematical modeling was applied. The enterprise is considered as a complex system — a sublimated enterprise, an economic object. The use of simulation methods on specific statistical material of the industrial enterprise «PivdGOK» is given. The application of the methods of digital economy allowed to obtain the relevant indicators of the enterprise and to obtain appropriate visual and graphical representations of the results.Results. The economic and mathematical model of the industrial enterprise of PJSC «PivdGOK» is constructed, it allowed to generalize results of activity of the industrial enterprise. Analytical relations concerning the activity of an industrial enterprise are obtained, namely a systematic study of the relationship between costs, volume of activity and profit of the enterprise.Scientific novelty. For the first time the economic-mathematical model of activity of the industrial enterprise in the sense of definition of its effective functioning as economic unit is constructed. Obtained in the implicit form of the dependence of profit at a given economic efficiency allowed us to investigate this relationship in order to build a simulation model.Practical significance. The use of Mathcad software allowed to building a simulation model of the industrial enterprise. An analytical expression of the connection between economic efficiency and profit is obtained, which allows to carry out a corresponding analysis of the activity of an industrial enterprise. It is shown under what conditions it is possible to achieve the greatest profit at a given economic efficiency. The use of digital modeling allowed to numerically obtain the optimal values of profit and graphically display the results. Graphical representation of the obtained results allows for visual analysis.

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