Question: An automated assembly machine has four workstations. The first station presents the base part, and the other three stations add parts to the base. The

An automated assembly machine has four workstations. The first station presents the base part, and the other three stations add parts to the base. The ideal cycle time for the machine is 3 sec, and the average downtime when a jam results from a defective part is 1.5 min. The fraction defective rates (q) and probabilities that a defective part will jam the station (m) are given in the table below. Quantities of 100,000 for each of the bases, brackets, pins, and retainers are used to stock the assembly line for operation. Determine
(a) Proportion of good product to total product coming off the line,
(b) Production rate of good product coming off the line,
(c) Total number of final assemblies produced, given the starting component quantities. Of the total, how many are good product, and how many are products that contain at least one defective component?
(d) Of the number of defective assemblies determined in above part (c), how many will have defective base parts? How many will have defective brackets? How many will have defective pins? How many will have defective retainers?

Station Partidentification Base Bracket Pin Retainer 0.01 0.02 1.0 0.03 1.0 0.04 0.5 1.0 4

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