Please answer all questions: Draw a diagram, and answer questions A-D. Please show all work. Thank you.

The cycle time for each stage of a four-stage production process are as follows: Stage 1: 3 minutes. Stage 2: 2 minutes. Stage 3: 4 minutes. Stage 4: 1 minute. A separate person works at each of the steps in the process. I. Draw the diagram of the process. II. If we assume a 7-hour day, a. What is the current maximum output of the process? b. If we add another person, where would we add him or her and what is the benefit? Assume that everybody works at the same rate and that only the tasks are different c. Is there a benefit if we can shift 1 minute from stage 3 to stage 4? Assume that we do not make the change in part b above. What happens if we add one person to stage 3 and shift 1 minute from stage 1 to stage 4 simultaneously? Assume that we do not make the change in part b above