(a) The feeder-selector device at one of the workstations of an assembly machine has a feed rate of 56 components/min and provides a throughput of one part in five. The ideal cycle time of the assembly machine is 6 sec. The low-level sensor on the feed track is set at 10 components, and the high-level sensor is set at 25 components. (a) How long will it take for the supply of components to be depleted from the high-level sensor to the low-level sensor once the feeder-selector device is turned off? (b) How long will it take for the components to be resupplied from the low-level sensor to the high-level sensor, on average, after the feeder-selector device is turned on? (c) What are the time proportions that the feeder-selector device is turned on and turned off?

Question

(a) The feeder-selector device at one of the workstations of an assembly machine has a feed rate of 56 components/min and provides a throughput of one part in five. The ideal cycle time of the assembly machine is 6 sec. The low-level sensor on the feed track is set at 10 components, and the high-level sensor is set at 25 components. (a) How long will it take for the supply of components to be depleted from the high-level sensor to the low-level sensor once the feeder-selector device is turned off? (b) How long will it take for the components to be resupplied from the low-level sensor to the high-level sensor, on average, after the feeder-selector device is turned on? (c) What are the time proportions that the feeder-selector device is turned on and turned off?

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