Optimizing faculty workload in higher education institutions is essential for enhancing faculty satisfaction, student learning, and institutional productivity. Traditional workload management approaches tend to simplify the realities of academic work, creating distortions that undermine the quality of the academic system. In this paper, we present the simplex method, a linear programming technique that can be used as a sophisticated technological solution for optimizing faculty workload. Using a comprehensive mathematical model and a Python code outline, we demonstrate the effective use of the simplex method to balance the teaching loads across the faculty. The obtained results indicate that this method is superior to traditional approaches in terms of efficiency and satisfaction. By doing this, we not only explore new horizons in scholarly discourse on faculty workload but also offer a practical tool for higher education institutions to enhance their operational efficiency and faculty functioning.