Based on the partial removal of impurities present in copper refining in industrial metal smelting and refining enterprises oxygen increases dramatically. The most interesting centralized process copper processing is carried out in one factory. This is because copper from the manufacturing plants it was possible to determine that it has a different chemical composition, but its quantity is small. Therefore, a different amount of oxygen is required for a constantly changing weight average composition of liquid metal used for oxidizing and slagging compounds and in all similar processes. The purpose of the work is the method of creation a mathematical model for solving the single-criteria and multi-criteria problem of high temperature copper processing has been established.