calculate the mass flowrate of permeate and retentate produced from each of the stages

tmf = 6 hours

initial cell concentration = 8g DCW/kg

At the end of the fermentation, the cell culture is separated from the liquid by microfiltration (Assume cells=1 and product=0 ). The broth in the fermenter is fed through the microfiltration unit, which is operated as a 3-stage recycle and bleed. The maximum design time allowed for the microfiltration (tmf) is ? hours. The cell concentrations at the end of each stage and the corresponding membrane fluxes within each stage are provided in the Table below