In an industrial process to develop probiotics, cells, sugar, and water are fed into a bioreactor. The cells produce probiotics such that the stream leaving the bioreactor contains cells, probiotics, and water, as well as leftover sugar. We desire to remove all the cells from the process stream so that we may purify our probiotic product. The process stream (the one leaving the bioreactor) enters a separator where the cellular components are separated from the rest of the stream. The entering process stream contains 25 wt% cells, 5 wt% sugar, 10 wt% probiotics, and the rest water. Two product streams leave the separator: a cell-rich stream and a cell-free stream. The cell-rich stream is 90 wt% cells, 2.5 wt% sugar, 0.5 wt% probiotics, and 7 wt% water. PART A (40 points): What is the composition of the cell-free product stream? PART B (10 points): The separation process is highly effective in removing cells. The probiotics are a highly precious commodity in this process. How effective is this separation process in preserving probiotics? (Please provide a quantitative answer.) EXTRA CREDIT (5 points): If the cell-rich outlet stream is fed to the same separator, and the separator is capable of achieving the same composition in the cell-rich stream, how much of the probiotics that would otherwise be "lost" can be recovered? For this problem and all others, I strongly recommend that you follow the 5+1 method, outlined in Lecture 2: Draw and label