Effluent from an industrial plant is variable between $110-370m\frac{g}{L}BO{D}_u$ of $220m\frac{g}{L}$ is selected for design., calculate required aeration rank volume for $6$ MLD and ${}_{c,\text{m}\text{i}\text{n}}$ and operational ${}_c$ for conventional activated sludge.

Design criteria: $x=2200m\frac{g}{L},k_d=0\mathrm{.}16d^{-1},Y_T=0\mathrm{.}53,K=12d^{-1},S_e=35m\frac{g}{L}BO{D}_u$