Otimização do cultivo de banana por meio da programação linear

Abstract

This paper discusses linear programming, an important Operations Research tool used to optimize the allocation of limited resources. It begins by establishing the theoretical foundations of linear programming covering key concepts such as the general model, model formulation, the feasible region, convex sets, and extreme points thereby revealing the mathematical basis that ensures the validity of the solution methods. Next, the paper outlines the steps involved in applying the graphical and simplex methods. It then uses these linear programming principles to solve hypothetical problems regarding banana cultivation that require profit maximization under resource constraints. Thus, the study demonstrates the significant contribution of mathematical modeling to decision-making in the agricultural sector.