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Question 3 [40 points] A flow production line with three workstations is run as a push system. Stations 1 and 2 each has a mean processing time of 4.0 hours and standard deviation of 6 hours. Station 3 has 2 parallel machines and the process time on that station is 10 hours with a standard deviation of 6 hours, Station 3 is shared with another department in the factory, so its availability is limited to 85%. Jobs arrive to station 1 at the rate of 0.15 jobs per hour with arrival coefficient of variability equal to 2. All arriving jobs follow the same sequence of processing; from station 1 to station 2 to station 3 without any yield loss. A. [10 marks] Calculate the utilization of each station. Which station is the bottleneck? Explain your answer. B. [30 marks] Calculate the expected cycle time and the work-in-process level for the line