In the context of growing consumption and limited resources, optimizing their use is becoming a key factor in sustainable development. Of course, modern technologies and management methods allow us to minimize losses and significantly increase profits. However, the use of economic and mathematical methods in the problems of optimizing production processes still plays a key role.

One of the most effective tools of mathematical modeling is linear programming - an optimization method that allows you to find the best solutions in the presence of constraints.

Linear programming is one of the most important tools of mathematical modeling. In turn, mathematical modeling is the main analytical tool for studying economic processes.

Linear programming is widely used in various economic spheres: from production planning and inventory management to transport logistics and financial analysis. Its main advantages are the ability to formally describe economic problems and solve them using mathematical models.

This article discusses the basic principles of linear programming, its key methods and examples of application in solving optimization problems.