A distillation column with a total condenser and a partial reboiler is separating two feeds. The first feed is a saturated liquid, and its rate is 100.0 kmol/h. This feed is 55.0 mol% methanol, 21.0 mol% ethanol, 23.0 mol% propanol, and 1.0 mol% butanol. The second feed is a saturated liquid with a flow rate of 150.0 kmol/h. This feed is 1.0 mol% methanol, 3.0 mol% ethanol, 26.0 mol% propanol, and 70.0 mol% butanol. We want to recover 99.3% of the propanol in distillate and 99.5% of the butanol in bottoms. Make appropriate assumptions, and find distillate and bottoms flow rates and mole fractions of distillate and bottoms.