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Part X requires operation A and operation B on the SAME MACHINE in sequence (First Operation Athen operation B are performed on the same machine). Assume the company will be operating five days per week 8 hours per day. The following information is known: Defect Rate Operation A Standard Time 3 min 5 min Efficiency 95% 95% Reliability 95% 90% 2% B 5% TA OA = 18 0g = 1000 parts/week Operation A Operation B PA=2% Pg=5% a. (20 pts) In order to produce 1000 units of X in a week _units X is scheduled weekly for Operation B (due to 5% scrap ratio) _units X is scheduled weekly for Operation A (due to 2% scrap ratio) b. (40 pts) Based on your answer in part a, find the number of machines required to produce 1000 units of X per week. The total time required to perform Operation B = _minutes per week The total time required to perform Operation A = _minutes per week H= Available Time in a week = ___minutes /week Thus FA= FB = Since both of the operations A and B are performed on the same machine _machines are required C. (10 pts) The machine requires maintenance in each working day. Each maintenance takes 20 minutes. Find the number of machines required to produce 1000 parts per week with this additional information by stating your assumptions clearly