$*$ Consider a blast furnace which is charged with iron ore, coke and flux of the following composition: assuming that the weight of the charged flux is $14$ of the weight of the ore, $800$ kg of coke is used and CO $/$ CO$2=2$ in the flue gas. For the $1000$ kg pig iron production; $*$ A$)$ The amount of ore used, B$)$ Amount and composition of slag obtained $*$ C$)$ Required theoretical air volume $*$ D$)$ Volume and $\%$composition of flue gas. $($ore: $\%75$ Fe$2$O$3,\%15$ SiO$2,\%10$ Al$2$O$3$ flux: $\%5$ SiO$2,\%95$ CaCO$3$ coke:$\%10$ SiO$2,\%5$ Al$2$O$3,\%85$ C pig: $\%4$ C $,\%94$ Fe $,\%2$ Si $)$