Application of GeoGebra to the study of nonlinear programming by future economists

The practical and applied significance of mathematics in economics and management are in the ability to pose a problem, create a mathematical model and apply the appropriate mathematical apparatus to solve it. To do this, students in the areas of "Economics" and "Management" must have the skills of building chains of relationships between the objects and concepts being studied, between logical premises and consequences when carrying out proofs, and building a sequence of actions when solving problems. The discipline "Methods of optimal solutions" plays a decisive role in the formation of the necessary knowledge, skills and abilities in the preparation of a modern economist and manager. Within the framework of this discipline, the topic "Nonlinear Programming" examines optimization problems whose mathematical models contain nonlinear dependencies on variables-nonlinear programming problems. Solving such problems presents a certain difficulty for students, which is associated with the nonlinear nature of the model functions, the features of these problems and the lack of a universal method for solving them. Therefore, the learning process requires qualitatively new approaches from teachers, in particular, the use of information technologies to increase the efficiency of mastering educational material and the cognitive activity of students. The most important tools in this case are clarity, visualization and interactivity of the solution process. The authors chose the GeoGebra mathematical package as the most convenient and effective means for computer implementation of solving nonlinear programming problems using application software packages. The use of this program in teaching mathematical disciplines remains one of the current areas of research. But the issue of solving nonlinear programming problems using GeoGebra is not sufficiently covered. The purpose of the study is to use the GeoGebra mathematical program in teaching nonlinear programming to bachelors in the field of Economics and Management. The article reveals the possibilities of using GeoGebra in teaching problem solving on the topic "Nonlinear Programming" within the framework of the discipline "Methods of Optimal Solutions". A computer implementation of solving a nonlinear programming educational problem in GeoGebra is demonstrated, providing visualization of dependencies, interactivity and graphical support for the solution process. As a result, the possibilities of using the GeoGebra software product to improve the quality of mathematical training of future economists and managers have been revealed, which is important in the era of the digital economy