Análise de Sensibilidade Aplicada em um Problema da Dieta

Abstract

After finding the optimal solution for a linear programming problem, the Sensitivity Analysis allows studying the impacts caused on the optimal solution by modifications made to the initial parameters. For example, if a parameter stops changing, Sensitivity Analysis allows you to determine the new optimal solution without solving the problem again and allows you to determine which changes in the coefficients will not change the optimal solution. Requires the specificity of feeding problems, which is to organize healthy nutrition and pay the lowest cost for it, they become good candidates for studying the impact of changes on the optimal value of the objective function. For example, if the price of some food goes up or down what happens to the cost of the diet? How much can the price of each food be changed without the cost of the diet changing? These questions will be answered in this survey. Therefore, the objective of this work is to carry out a Sensitivity Analysis in a diet problem, analyzing the values ​​of the coefficients of the variables ​​and proportions of new diet models with minimal cost. Analyzes are performed with the help of Solver software from Microsoft Excel. The methodology used throughout the work is a qualitative approach based on bibliographical research, with that a study of previous researches was carried out, through books, articles, theses, among others. The research will contribute to the academic formation of undergraduate students, readers and future researchers in Mathematics.