The need to develop more sustainable agro-ecosystems is urgent, therefore, several efforts are made to insert alternative strategies on environmental, social and economic variables. For this reason, this theme started to raise relevant debates in the areas that include agricultural production and to challenge researchers to portray this subject in different perspectives. Consequently, several models for assessing agro-ecosystem sustainability have been proposed, but not always applied. One of the first efforts made is the framework for the evaluation of sustainable land management by Gameda and Dumanski (1995). However, little has been seen in studies that wished to maximize this sustainability using mathematical modeling. Therefore, the present work seeks to maximize the sustainability index of agroecosystems proposed by Rodrigues (2018) as well as to maximize their total production, through multiobjective optimization. To implement the model, data from 4 agroecosystems obtained by Reis (2013) were used, favoring the realization of mathematical modeling and application of the method. After formulating the problem, Matlab was used for the implementation with the aid of the CVX toolbox. The solution found for the problem is considered feasible and optimal, since it was found that the maximization of the Sustainability Index of the studied agroecosystems was achieved, as well as their total production. It ended by concluding that this work revealed that the results found managed to be better than in the study developed by Rodrigues (2018). ; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES ; A necessidade de serem desenvolvidos agroecossistemas mais sustentáveis é urgente, sendo assim, vários esforços são feitos para serem inseridas estratégias alternativas sobre as variáveis ambientais, sociais e econômicas. Por isso, essa temática passou a despertar relevantes debates nas áreas que abrangem a produção agrícola e a desafiar pesquisadores a tratarem desse assunto em diferentes perspectivas. ...