The field of application is Iraqi Light Industries Company, the best items that must be preserved were chosen to maximize profit at low cost, and also we are trying to get one of the direct and effective methods that contain some arithmetic operations to obtain the optimal real values. First, the paper will describe the data and create the mathematical model for the Multi-Objective Fuzzy Linear Programming Problem (MOFLFPP) relevant to the study problem. In light of production process restrictions that may limit the company's ability to provide products in the right quantity and time, the second section focuses on solving the model and finding the optimal solution, which is the production mix that maximizes profits at the lowest cost. A MOFLFPP is transformed into a Linear Programming Problem (LPP) through the use of α-cut and Max-Min technique. In order to demonstrate the effectiveness of the strategy that we have proposed, a sample problem from real life has been used. Decision-makers will be better able to appreciate the value of the MOFLFPP if they are given the opportunity to discuss the practical challenge. A result analysis is also constructed for the purpose of determining whether or not our method is applicable, and how it compares to other ways. The strategy worked and yielded solid results from extreme point that provided an optimal answer.
