Separate a feed that is \(10.0 \mathrm{~mol} \%\) benzene, \(55.0 \mathrm{~mol} \%\) toluene, 10.0 \(\mathrm{mol} \%\) xylene, and \(25.0 \mathrm{~mol} \%\) cumene. Use heuristics to generate four desirable alternatives. Average relative volatilities are \(\alpha_{\mathrm{BT}}=2.5, \alpha_{\mathrm{TT}}=\) \(1.0, \alpha_{\mathrm{XT}}=0.33, \alpha_{\mathrm{CT}}=0.21 .98 .0 \%\) purity of all products is required.