Optimization of Feed Costs at Simpeda Livestock Farm Using Linear Programming with the Graphical Method

Abstract

This research discusses the optimization of animal feed costs at Simpeda Farm using a linear programming method based on a graphical method. The study's main objective was to determine the optimal amount of corn and soybean purchases to meet the daily nutritional needs of livestock at minimal cost. The mathematical model developed considered nutritional constraints, including protein and fiber content, as well as the purchase price of each ingredient. The analysis was conducted using QM for Windows software, which produced an optimal solution at the points X₁ = 10 (maize) and X₂ = 0 (soybeans) with a minimum total cost of $3,000. The results show that the graphical method provides an accurate and efficient solution, although it requires precision in the data input process. With this approach, farms can manage resources more optimally and economically