MATHEMATICAL MODELING FOR MAXIMIZING AGRICULTURAL PRODUCTIVITY IN SERRANÓPOLIS DO IGUAÇU, PR, BRAZIL

ABSTRACT This article aimed to develop and analyze a linear programming application to maximize crop yield in a small farm in Serranópolis do Iguaçu-PR, Brazil. Linear programming is a crucial tool in agriculture for optimizing technical, economic, and financial outcomes. The study was carried out between May and August 2023 and involved administering a questionnaire to the production unit manager and developing a mathematical model using LINGO 18.0 software. Our results showed that the model can generate an annual revenue of R$ 676.478,70, exceeding the farm’s current revenue by 12.50%. Comparative simulations showed that this Annual Economic Result (REA) maximization model had superior financial performance to the observed situation. Our findings highlight the effectiveness of linear programming in optimizing agricultural production, enabling more efficient and sustainable management.