Implementation of a software package for solving linear programming problems on the Visual Studio C# platform

The article examines the process of designing and developing a software complex for solving linear programming problems on the Visual Studio C# platform. The selection and justification of optimization problem-solving algorithms are described, including the simplex method, artificial basis method, dual simplex method, potential method for transportation problems, and graphical method. The software architecture implemented using the MVVM (Model-View-ViewModel) pattern is investigated, providing modularity, low component coupling, and a high degree of code reuse. Special attention is paid to the efficient implementation of algorithms, the use of dependency injection mechanisms, and a plugin system for extending functionality. Key aspects of software implementation are presented, including working with matrices and vectors, and performance optimization through parallel computing is proposed. The results demonstrate the effectiveness of the developed software complex for solving a wide range of linear programming problems for both educational and practical purposes.