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Regular tires are made on one production line, and the other types of tires are made on a separate line. On the regular tire production

Regular tires are made on one production line, and the other types of tires are made on a separate line. On the regular tire production line, the bottleneck resource can produce 167 pallets of tires per week. It fails on average every 36 hours, and it has an average time to repair of 4 hours. The maximum number of pallets per week is 1.4x of weekly demand.

1. What is the maximum number of servers needed at the bottleneck station to keep utilization under 95% on average?

2. Assume arrival CV is 0.2, natural process CV is 0.3, and repair time CV is 0.75. Given the number of servers, what are long-run cycle time, throughput and WIP?

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