Nowadays, in the competitive world of marketing and globalization optimizing the budgetary planning process is an essential criterion that is considered by industries in order to produce high quality products while maximizing the profit. The role of mathematical modeling is significant for examining the decision-making process to obtain an optimal possible alternative solution to a particular problem in the production planning process. Among the major production planning process problems is to maximize the profit by producing products with minimum cost. In this study, two formulations of Linear Programming (LP) and Weighted Goal Programming (WGP) models were developed to optimize and to simulate the profit of Al-Wedyan Company Food Ltd. The proposed models are developed through the use LINGO software and based on the real data gained from the aforementioned industry. The sensitivity test analysis was carried to compare the performances for both models results. Throughout the results, the WGP produced the highest profit followed by the LP. en_U