This paper presents a model for automatically selecting and allocating secondary education teachers to schools while considering various factors such as the diversity of sections and lessons, school distances, teacher specializations, teaching workloads, and other constraints. This poses a complex challenge that educational authorities in prefectures must address. Our proposed model is inherently multi-objective, as it encompasses a range of financial and pedagogical objectives. By employing this model, decision-makers can explore the competition between these objectives and the necessary trade-offs required to enhance performance in specific areas. To illustrate the model's practical applicability, we conducted a case study focusing on the Prefecture of Ilia in Western Greece.