We are separating \(100.0 \mathrm{kmol} / \mathrm{h}\) of a saturated liquid feed that is 45.0 \(\mathrm{mol} \%\) propane \((\mathrm{P}), 15.0 \mathrm{~mol} \%\) n-butane \((B)\), and \(40.0 \mathrm{~mol} \%\) n-hexane (H). Relative volatilities are \(\alpha_{\mathrm{P}-\mathrm{P}}=1.0, \alpha_{\mathrm{B}-\mathrm{P}}=0.49, \alpha_{\mathrm{H}-\mathrm{P}}=0.10\). At minimum reflux, we want fractional recoveries \(\mathrm{FR}_{\mathrm{P}, \text { dist }}=0.995\) and \(\mathrm{FR}_{\mathrm{H}, \text { bot }}=0.998\). Find \((\mathrm{L} / \mathrm{D})_{\min }\), flow rates \(\mathrm{D}\) and \(\mathrm{B}\), and mole fractions of three components in distillate and bottoms at minimum reflux.