Profit Optimization Modeling for Amazonian Tour Operators using Linear Programming: A Geographically Specific Approach

The purpose of this research is to develop a mathematical linear programming model (LPM) in order to maximize the profits of tour operators in Puerto Francisco de Orellana, Ecuador. To this end, the model considers the quantity of tourist packages (P), services (S), and other sales (souvenirs) (O) as decision variables. Furthermore, the objective function represents net profits, taking into account costs, taxes, and annual fixed expenses, while the constraints are based on critical resources such as working time, vehicle usage, and operational capacity. Regarding data collection, a JSON format was employed to store specific information for each tour operator. Subsequently, a graphical interface was developed using PySide6 (Python) with the aim of facilitating data entry. Concerning modeling and optimization, the data from the JSON files was processed and adjusted to be used in a linear programming Solver through the PuLP library. Finally, to validate the model, it was applied to two real-world cases (Jaguar Travels and Amazon Travel), which allowed for the evaluation of its effectiveness. As a result, the model generated optimal solutions that maximized profits for both operators, adapting to their respective operational constraints. Additionally, the results were presented in structured reports in JSON format, which facilitated their interpretation and application. Similarly, it was confirmed that the model is scalable and adaptable to different operational contexts. In conclusion, the proposed LPM proved to be effective in optimizing the profits of tour operators under realistic conditions. On the other hand, the use of JSON along with a graphical interface significantly streamlined the data collection and processing process. However, it is worth mentioning that the model could be expanded by incorporating new variables and constraints to improve its accuracy in future research.