Remember Mr. Rockness in Question 11? He now retrains college professors. It is a much more challenging task but still involves five steps. He has worked hard to balance the line; however, there is a lot of variability. Each stage in the process now handles between one and six faculty members per hour depending on how bad the case is. If there is some inventory available for every position (do not worry about the start- up), what is the expected output per hour? (Assume that each stage is independent and that it is equally likely that one, two, three, four, five, or six faculty members get processed each hour at each stage.) 4