Future production requirements in a machine shop call for several automatic bar machines to be acquired to produce three new parts (A, B, and C) that have been added to the shop's product line. Annual quantities and cycle times for the three parts are given in the table below. The machine shop operates one 8hour shift for 250 days per year. The machines are expected to be 95% reliable, and the scrap rate is 3%. How many automatic bar machines will be required to meet the specified annual demand for the three new parts?

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Part Annual demand 25,000 40,000 50,000 Machining cycle time 5.0 min 7.0 min 10.0 min