A distillation column separates a feed that is 30mol% acetone and 70mol% ethanol. The column has a partial condenser. The feed flow rate is 1000kmol/ day, the feed is a saturated liquid, and the feed is input at the optimum location. We desire a distillate that is 90mol% acetone and a bottom that is 10mol% acetone. Use a boil-up ratio of (V/B=1.25). On the fourth stage above the partial reboiler, a vapor sidestream with flow rate S=200kmol/ day is withdrawn and then condensed to a saturated liquid, which is returned to the column as feed at the optimum location. Assume constant molar overflow, determine: a) The mole fraction of vapor side stream ys, b) The optimum feed location, c) The optimum location to input saturated liquid from the intermediate condenser, d) The total number of equilibrium stages Equilibrium data for the Acetone - ethanol