Al-Ma'amun factory of the General Company for Food Products suffers from inefficient facilities layout of its production departments and warehouses of both types (warehouses of raw materials and warehouses of finished products), which causes a lot of waste of time, resources and effort in the process of transporting raw materials or even individuals, which is leads to an increase in the costs of handling materials and not providing the service in time. Therefore, this study came to solve the problem by constructing a mathematical model based on the method of multi-stage assignment to find the optimal assignment, since the management of the factory has many goals, it was necessary to use an efficient mathematical method which is goal programming. Therefore, a multi-stage multi-objectives assignment method is applied in two stages, the first of which includes the process of transporting raw materials from raw material warehouses to the production departments to carry out the manufacturing process within them, the second stage includes the transfer of finished products from the production department to the final production warehouses. After comparing the results of the proposed layout with the results of the current layout of the factory is achieved an optimum layout of the factory because of it reduced the total traveled distance by (%25) per day, it also reduced the overall time spent by (25.5%) and reduced the total volume of spent fuel by (30.7%) per day for the new layout
