The distillation column shown in the figure below was used for the separation of $0\mathrm{.}25$ mole fraction pentane from heptane. The desired distillate and bottom products are $0\mathrm{.}95$ and $0\mathrm{.}05,$ respectively. The vapor flow rates in the enriching and stripping sections of the column are $2$D and $3$B$,$ respectively. The feed rate is $100$ mol$/$min$.$ VLE data for this binary system are given in the diagram below.