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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.

Purpose. Improvement of regression economic-mathematical models taking into account the influence of residual error as a random variable. Methodology. Methods of economic-mathematical modeling, regression analysis are used. The real conditional law of distribution of residual error as a complete characteristic of a random variable is applied. Findings. A scientific and practical approach to economic and mathematical modeling based on the study on residual error, to improve the construction of regression equations. Originality. For the first time, the application of residual error analysis as a random variable has been proposed in order to construct its conditional differential distribution function, which allows improving the quality of economic-mathematical modeling in the form of regression equations. The use of the proposed method of taking into account the residual error allows eliminating the negative impact of the violation of the conditions of the properties of the residual error in the implementation of economic and mathematical modeling using regression equations. Practical value. The analysis of the obtained results of economic-mathematical modeling of economic activity of Inhulets Mining and Processing Plant on significant statistical material with the use of the developed algorithm of residual error research confirmed the effectiveness of the proposed approach. It is recommended to include the developed algorithm taking into account the properties of the residual error in the practice of managing the financial activities of mining enterprises.

Purpose. Investigation of multicollinearity in multifactorial economic and mathematical regression models of activity of Inhu lets Mining and Processing Plant and reduction of its negative influence based on application of the parameterization method.Methodology. To reduce the negative impact of multicollinearity in multifactorial regression models, a technique is developed that is based on the transition from the function of several variables to its parametric representation by analyzing the correlation matrix between factors in order to eliminate mutual correlation.findings. Economic and mathematical modeling of the activity of the JSC Inhulets Mining and Processing Combine showed that the presence of multicollinearity when applying a multifactor regression model leads to a distortion of the obtained results, which reduces the practical value of the model. The application of the parametrization method made it possible to reduce the in fluence of multicollinearity by providing parametric representations of the economicmathematical model of holding the real economic process. The application of the parameterization method makes it easier to construct an economicmathematical mod el in the form of regression equations, to reduce the negative impact of multicollinearity in the implementation and meaningful analysis of features of economic and mathematical modeling using multivariate regression equations. originality. For the first time, the application of the parameterization method is proposed, which allows us to simplify the construction of an economicmathematical model in the form of regression equations. Using the parameterization method allows reducing the uncertainty in the synthesis of multivariate regression equations, ensuring appropriate adequacy.Practical value. The analysis of the obtained results of economic and mathematical modeling of the activity of the Inhulets Mining and Processing Plant based on significant statistical material using the developed algorithm of elimination of multicol linearity confirmed the effectiveness of the proposed approach. It is recommended to include the developed algorithm for elimina tion of multicollinearity by parametrization in the practice of management of economic activity of mining enterprises.

Goal. Study of the impact of investment on net income through the use of multifactor regression models of enterprise of Zaporizhia.Method. Based on econometric analysis, a methodology has been developed that allows to analyze the impact of the size of investment deposits on the net income of the enterprise, which is based on the use of multifactor regression models of economic activity of enterprises.Results. The versatility of information on the economic activity of enterprise in Zaporizhia indicated the difficulty of analyzing the results. At the same time, the transition to a digital economy based on modern IT technologies has made it possible to re-use statistical material on economic indicators of enterprises, synthesizing economic and mathematical models of enterprises as complex objects by deeper elaboration of statistical material with justification of the results. This approach made it possible to use multifactor regression models to obtain the dependence of net income on the value of investment deposits at specific enterprise in Zaporizhia.Scientific novelty. For the first time, multifactor regression models of economic activity of enterprises are used, taking into account multicollinearity and nonlinearity in the value of investment contributions for economic analysis of the impact of investment on net income by using the coefficient of elasticity.Practical significance. The analysis of the results of economic and mathematical modeling of Zaporizhia enterprise, which is based on statistical material using the algorithm of studying the dependence of net income on the value of investment contribution, showed the presence of critical values of investment deposits that qualitatively change the impact on net income. It is recommended to include the developed algorithm in the practice of appropriate calculations of the effectiveness of economic activity of enterprises.

Objective. Based on the study of scientific literature, the goal of the research is to identify and systematize the macro-, meso-, micro-, nano-levels destabilizers of the development of innovative potential in the hospitality industry. Methods. In the process of the study the authors apply such methods as methods of theoretical generalization and comparison (to characterize the views of individual authors on the destabilizers of the innovative potential of the hospitality industry), analysis and synthesis (to systematize mesodestabilizers of innovative potential), graphic (to build a funnel of destabilizers at different levels on the development of innovation potential of hospitality industry). Results. Based on the study of the opinions of a number of authors who consider the destabilizers of the development of innovation potential in the hospitality sector at the macro, meso, micro, nano levels, it is determined that all destabilizers of innovation potential at the macro level are a reflection of domestic practice in innovation in all areas. Identification of mesodestabilizers of innovation potential allows distinguishing the following their types: integration, infrastructure, logistical, motivational, strategic, competitive, market, institutional, economic, financial, informational, legal, personnel, and evaluation. As for the considered microdestabilizers, they repeat mesodestabilizers. The nanodestabilizers of innovation potential, which affect the personnel innovation potential of the enterprise include: low professional status of the innovator, lack of material incentives and conditions for creative work, outflow of scientific personnel. Systematization of destabilizers of these levels, as an obstacle to the development of innovative potential in the hospitality industry, allows stating that destabilizers act as different groups of factors (economic, technological, structural, institutional, etc.), which overlap, and destabilizers on a larger scale affect all others levels.

Objective. The objective of the present article is construction of economic and mathematical model of functioning of non-state pension funds of Ukraine for making optimal quantitative decisions in the process of their activity. Methods. The article investigates and considers the construction of economic and mathematical model of private pension funds in order to make optimal quantitative decisions in the process of their activities. The analysis of the private pension fund as an economic object is carried out. The possibility of choosing a linear dynamic continuous deterministic structure of its model is proved. The expediency of using economic and mathematical modeling as one of the effective methods of research of non-state pension fund is determined. The use of modern economic and mathematical methods and models will allow to fully analyze the function­ing of private pension funds and determine the directions of making optimal quantitative decisions in the process of their activities. Results. The activity of the non-state pension fund as an economic object is analyzed. The possibility of choos­ing a linear dynamic continuous deterministic structure of its model is proved. The expediency of using economic and mathematical modeling as one of the effective methods of research of non-state pension fund is determined. It is noted that when making this or that decision, one cannot proceed simply from their positive impact on the further development of private pension provision. When building the model of a private pension fund, attention is focused on a special case when the input is a scalar value, ie there is only one source of funding.