Matrix Methods and Models of Economic Analysis in the Marketing Activity of Higher Educational Establishments

The practical significance of the obtained results is the introduction of methodological provisions for forecasting the demand and supply of educational services for higher educational establishments. The complexity and interdependence of managerial problems in the system of higher education require new ideas and approaches, which necessitates the search for new definite solutions, namely: the research paper offers the method of optimal distribution of budgetary places of the university by means of practical application of the theory of system constraints and the theory of fuzzy sets. Along with that, the calculation of the optimal number of students of the corresponding specialty with the help of cluster analysis has been carried out. In addition, an important place for improvement and development is taken by the economics and mathematical methods and methods of linear programming, they are effective means of identifying the most influential factors in achieving the goals of a higher educational establishment and justifying the marketing strategy of its development in modern conditions. To predict the quantitative values of social and economic indicators, the use of econometric modeling methods, in particular, the construction of regression models remains effective.

The conducted research gives grounds to state the appropriateness of solving the actual problem of choosing the best strategies of higher educational establishments with the help of modern approaches and methods of economic and mathematical modeling. The tasks of further research on this issue are the pursuit of forecasting the future demand for specialists in the region and the country as a whole, taking into account the development of innovative technologies, investment programs through system analysis and simulation modeling.