A $1000\mathrm{kg}$ ore charge contains $60\%$ $\mathrm{Fe}{}_2\mathrm{O}{}_3$, $20\%$ $\mathrm{Fe}{}_3\mathrm{O}{}_4$ and $20\%$ $\mathrm{SiO}{}_2$ by mass (Fe 56, O 16, Si 28, Ca 40, C 12). All iron oxides are reduced to iron, and the silica is fluxed completely as $\mathrm{CaSiO}{}_3$ using pure limestone. The mass of iron and of limestone needed are respectively

1. A$516.6\mathrm{kg}$ and $333.3\mathrm{kg}$
2. B$564.8\mathrm{kg}$ and $333.3\mathrm{kg}$
3. C$564.8\mathrm{kg}$ and $200.0\mathrm{kg}$
4. D$420.0\mathrm{kg}$ and $333.3\mathrm{kg}$