Question 4 [40 marks] A five stations production line has the following data for each station: Workstation 1 has 4 identical machines with average processing time of 20 minutes. Workstation 2 has 5 identical machines with average processing times of 15 minutes. Workstation 3 has 10 identical machines with average processing times of 30 minutes. Workstation 4 has 1 machine with average processing times of 5 minutes. Workstation 5 has 2 identical machines with average processing times of 8 minutes. A. 15 marks] Calculate the critical level of the work process in the line. Explain the meaning of it for this line specifically. B. [5 marks] If the line works two shifts daily for a total of 16 hours each day, calculate how much the line can produce per day. C. [5 marks] If the machines at the second workstation are subject to random failure such that the availability in the workstation is limited to 70% only, what will be the critical level of work-in-process? Explain why it is higher or lower that the original value in Part A. D. [15 marks] If the management would like to achieve a throughput of 90% of the bottleneck rate, then calculate the average level of work-in-process necessary for that for the three cases of worst-case performance, best case performance, and worst case performance. Make appropriate comments on that. Question 4 [40 marks] A five stations production line has the following data for each station: Workstation 1 has 4 identical machines with average processing time of 20 minutes. Workstation 2 has 5 identical machines with average processing times of 15 minutes. Workstation 3 has 10 identical machines with average processing times of 30 minutes. Workstation 4 has 1 machine with average processing times of 5 minutes. Workstation 5 has 2 identical machines with average processing times of 8 minutes. A. 15 marks] Calculate the critical level of the work process in the line. Explain the meaning of it for this line specifically. B. [5 marks] If the line works two shifts daily for a total of 16 hours each day, calculate how much the line can produce per day. C. [5 marks] If the machines at the second workstation are subject to random failure such that the availability in the workstation is limited to 70% only, what will be the critical level of work-in-process? Explain why it is higher or lower that the original value in Part A. D. [15 marks] If the management would like to achieve a throughput of 90% of the bottleneck rate, then calculate the average level of work-in-process necessary for that for the three cases of worst-case performance, best case performance, and worst case performance. Make appropriate comments on that