Question: The single server waiting line system: Poultry processing processes chickens for fast food restaurants. The chicken arrives from the farms on trucks, in cages, at

The single server waiting line system:

Poultry processing processes chickens for fast food restaurants. The chicken arrives from the farms on trucks, in cages, at a rate of 8 trucks per hour according to Poissons distribution. The quality standard of Poultry Processing requires that the chickens be processed within 30 minutes, which includes the time from when the truck arrives until the chickens are finished processing. What is the minimum average processing rate (in truckloads per hour) that must be designed for the machine in order to ensure that the cages will be processed, on average, 30 minutes or less? Assume processing time is exponentially distributed.

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