Modeling the closed market distribution of banana (Musa × paradisiaca) in Mexico

One of the fruits that is consumed and produced in Mexico is the banana, but that in seasons it is not possible to find in the markets for its purchase. The objective of this research is to identify the optimal routes for the national banana trade, through the application of linear programming, with the purpose of maximizing the economic benefit. The methodology applied is the analysis of apparent national consumption based on production, as well as export and import volumes and the population of each state of the Mexican Republic. With this information, points of origin and destination were established, which were optimized through linear programming, considering a closed market economy. Thus, when solving the total supply of plantain, there are six suppliers (Chiapas, Colima, Jalisco, Veracruz, Tabasco and Michoacán), and 26 demand states of this fruit. A commercial and consumption balance was obtained for the year 2022, which allows the route and quantity to be supplied to each deficit state.