Your manager wants you to purify \(10,000.0 \mathrm{~kg} / \mathrm{h}\) of tin by zone melting at the very fast velocity of \(0.50 \mathrm{~m} / \mathrm{h}\). Each zone melting line will have enough heaters in the line to achieve the required purity in one pass of the ingot through the line. If each ingot is \(1.0 \mathrm{~m}\) wide and \(10.0 \mathrm{~cm}\) thick, and \(20 \%\) of each ingot is removed to eliminate impurities, how many parallel zone melting lines are needed to achieve the desired capacity? What argument do you use to convince the manager that this is a bad idea?