A mathematical model of the overall material and thermal balance of the ferromanganese smelting in blast furnaces of JSC "Satka Iron Smelting Works" is presented. Completeness of chemical reactions was taken into account in calculations based on thermodynamic analysis and technological data. Data on the thermochemical properties of substances; on the thermal effects of chemical reactions; on the degree of carbon graphitization in coke; on the heats of formation of metallic and slag solutions; on the thermochemical characteristics of ferromanganese, slag and gas phase were systematized and corrected. Heat losses for a particular type of blast furnaces are taken into account. The mathematical model is implemented in the computer program environment Lazarus. Test calculations of material and heat balances of ferromanganese blast furnace smelting were carried out. The calculation results correspond to the technological data. The developed software allows you to manage quickly the production process, to predict the optimal composition of charge materials for obtaining a product of a specific composition without experimental smelting. The software is used in the "consultant" mode at the JSC "Satka Iron Smelting Works".