Introduction. Cutting stock problem covers the issue of cutting big rolls of any material (paper, fabrics, steel, wood, etc) in small shreds with different widths that, can, then, be used as the raw materials to elaborate a final product. The lengths of these shreds are defined by the clients or according to the specific conditions required by the production process. Objective. Developing a mathematical model that allows the planning and the programming of a cutting process for steel rolls in order to solve the question "how to configure the cutting of rolls satisfying the requirements of the demand and simultaneously minimize the remains and the inventory levels in a metallurgic company? Materials and methods. A methodological model was made and applied in a production plant in which Steel pipes are made. Waste levels of about 15% per cut roll were found in the place. Results. This, under lost weight terms, reached up to 25 tons per 1700 tons produced in a month, thus making the inventory levels of in process products to be exceeded by up to 24% of the storage capacity. Conclusions. The main result of the methodology is a 4% reduction of the weekly cost of waste, compared to the real process of the company. [ABSTRACT FROM AUTHOR]