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28. Transfer line design. The Tech Manufacturing Company is contemplating the acqui- sition of a transfer line to make its highly successful Tech-o-Tronic brand of desktop widgets. The making of widgets is a two-step process. It requires rough drilling, and finished reaming. Several different vendors have been invited to submit bids for the machines and buffer that will make up the line. It is your job to pick the least expensive combination of machines and buffers that produces the required production rate of 5.5 parts per hour. Which of the following machines should the company purchase, and what size buffer should it have to mini- mize cost? Use one of the computer programs written for the earlier exercises. Justify your answer. An answer within 1% of the optimum will be judged correct. The following is a summary of the information supplied by the vendors. The ALPHA Machine Tool Company has a rough drilling machine that costs $25,000 that can do 0.11 operations per minute on the average and has a mean time to fail of 40 working hours and a mean time to repair of 2 hours. The ALPHA Machine Tool Company has a final reaming machine that costs $50,000 that can do 6.3 operations per hour on the average and has a mean time to fail of 50 working hours and a mean time to repair of 2 hours. The BETA Machine Tool Company has a rough drilling machine that costs $20,000 that can do an average of 1 operation per 10 minu a mean time to fail of RCISES 137 15 hours of operation and a mean time to repair of 180 minutes. The BETA Machine Tool Company has a final reaming machine that costs $45,000 that can do an average of 6 operations per hour and has a mean time to fail of 200 operations and a mean time to repair of 2 hours. The GAMMA Machine Tool Company has a machine that can do both rough drilling and final reaming. It costs $80,000 and can process (perform both operations on) an average of 1 part per 10 minutes and has a mean time to fail of 40 hours and a mean time to repair of 2 hours. Assume that the buffer space is free but the value of parts in storage between the drilling and reaming stages is $1,000 per part. In the optimal line, what is the average lead (cycle) time? Hint: See Chapter 1. 28. Transfer line design. The Tech Manufacturing Company is contemplating the acqui- sition of a transfer line to make its highly successful Tech-o-Tronic brand of desktop widgets. The making of widgets is a two-step process. It requires rough drilling, and finished reaming. Several different vendors have been invited to submit bids for the machines and buffer that will make up the line. It is your job to pick the least expensive combination of machines and buffers that produces the required production rate of 5.5 parts per hour. Which of the following machines should the company purchase, and what size buffer should it have to mini- mize cost? Use one of the computer programs written for the earlier exercises. Justify your answer. An answer within 1% of the optimum will be judged correct. The following is a summary of the information supplied by the vendors. The ALPHA Machine Tool Company has a rough drilling machine that costs $25,000 that can do 0.11 operations per minute on the average and has a mean time to fail of 40 working hours and a mean time to repair of 2 hours. The ALPHA Machine Tool Company has a final reaming machine that costs $50,000 that can do 6.3 operations per hour on the average and has a mean time to fail of 50 working hours and a mean time to repair of 2 hours. The BETA Machine Tool Company has a rough drilling machine that costs $20,000 that can do an average of 1 operation per 10 minu a mean time to fail of RCISES 137 15 hours of operation and a mean time to repair of 180 minutes. The BETA Machine Tool Company has a final reaming machine that costs $45,000 that can do an average of 6 operations per hour and has a mean time to fail of 200 operations and a mean time to repair of 2 hours. The GAMMA Machine Tool Company has a machine that can do both rough drilling and final reaming. It costs $80,000 and can process (perform both operations on) an average of 1 part per 10 minutes and has a mean time to fail of 40 hours and a mean time to repair of 2 hours. Assume that the buffer space is free but the value of parts in storage between the drilling and reaming stages is $1,000 per part. In the optimal line, what is the average lead (cycle) time? Hint: See Chapter 1