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Problem 1. 10 pts In a manufacturing process, cycle time is 8 hours, and the buffer contains 10 units of work in progress (WIP). Calculate the rate at which new units should be released into the system based on the buffer's capacity Problem 210 pts In a retail store, a checkout process is the bottleneck in the customer buying process. On a busy day, a particular counter, Alice, can process 30 customers per hour, while the other counters, Bob, Cindy and Dave, process 60 customers per hour. Calculate the overall system throughput and the impact of increasing the bottleneck's capacity to 40 customers per hour. Problem 310 pts A company manufactures two products, X and Y, using the same resources. Product X has a contribution margin of $500 per unit and a demand of 100 units per month, while product Y has a contribution margin of $750 per unit and a demand of 60 units per month. However, due to resource constraints, only 120 units (mix of X and Y ) can be produced each month. Determine the