Acme Poultry Processing processes chickens for fast food restaurants. The chickens arrive from the farms on trucks, in

cages, at a rate of 8 trucks per hour according to the Poisson distribution. Acme's quality standards demand that the

chickens be processes within 30 minutes, which includes the time from when the trucks arrive until the chickens are

finished processing. Determine the maximum average processing rate (in truckloads per hour) that must be designed

for the machine, to ensure that the cages will be processed, on the average, in 30 minutes or less. Assume processing

time is exponentially distributed