Calicarnes is a food company established in the city of Cali, whose commercial activity is the disposition and distribution of meats. Due to a prior diagnosis identified the need to improve its planning function and inventory management, a mathematical inventory model was developed to identify of order size and age traceability of the meat cuts. This model gives an estimate of the amount of optimal raw material (pig carcasses) to be demanded to meet weekly demand of cuts over a period of eight weeks. In addition, it allows following the time of storage of each type of cut and of this form to provide support to the area of ​​supply. The proposed model manages to reduce inventory levels by approximately 20%.  The traceability of the different cuts in the inventory using the PEPS (first in, first out) discipline guarantees a rotation of the products and reduces the amount of kilograms lost by expiration.