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Q. A room has 10 cotton spinning looms. Once the looms are set up, they run automatically. The setup time is exponentially distributed, with mean 10 minutes. The machines run for the average of 40 minutes, also exponentially distributed. Loom operators are paid $10 an hour, and looms not running incur cost of $40 an hour. How various loom operators should be employed to minimize the total cost of the loom room? If the objective becomes "on the average, no loom should wait more than one minute for an operator" how many people should be employed? How many operators must be employed to ensure that, on average, at least 7.5 looms are running at all times?
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