This article examines the technology of solving economic problems using linear programming methods based on 2026 data. Graphical and simplex methods are analyzed in detail through two important practical examples: Uzbekistan’s national silk industry (atlas and shoyi production). For each problem, a mathematical model is constructed and optimal solutions are found based on 2026 price and resource indicators. The atlas and shoyi production example demonstrates the national economy and export direction. The article demonstrates the practical application of linear programming in economic decision-making and its limitations.