International Cranberry Uncooperative (ICU) is a competitor to the National Cranberry Cooperative (NCC). At ICU, barrels of cranberries arrive on trucks at a rate of 150 barrels per hour and are processed continuously at a rate of 100 barrels per hour. Trucks arrive at a uniform rate over eight hours, from 6:00 am until 2:00 pm. Assume the trucks are sufficiently small so that the
delivery of cranberries can be treated as a continuous inflow. The first truck arrives at 6:00 a.m. and unloads immediately, so processing begins at 6:00 a.m. The bins at ICU can hold up to 200 barrels of cranberries before overflowing . If a truck arrives and the bins are full, the truck must wait untilthere is room in the bins.
(What happens when inflow rate predictably but temporarily exceeds bottleneckcapacity?)
(a) What is the maximum number of barrels of cranberries that are waiting onthe trucks at any given time?