Please show step by step solution and the formula you used. thank you

A batch culture of an engineered strain of E. coli starts with the inoculation of 10g of cells into a 100 - L airlift fermenter, which contains 10g/L of glucose as the substrate. The inoculum came from a previous batch of the same reaction, such that the culture no longer exhibits a lag phase. For the cells, max=0.9h1 and YXs=0.575g/g. a. No KS is given. What assumption does this imply? b. Estimate the culture time required to reach stationary phase. c. Repeat (b) for the case where the cells are immobilized in gel beads and where the overall effective factor T=0.78 d. If the fermentation is stopped after only 60% of the substrate is consumed, what will be the final cell density (for free cells)