(Cranberries) International Cranberry Uncooperative (ICU) is a competitor to the National Cranbery Cooperative (NCC), At ICU, barrelys of cranberries arive 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 a.m. until 2:00 p.m. Assume the trucks are sufficiently small so that the deliver of crangerries 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 until there is room in the bins.
a. What is the maximum number of barrels of cranberries that are waiting on the truck at any given time?
b. At what time do the trucks stop waiting?
c. At what time do the bins become empty?
d. ICU is considering using seasonal workers in addition to their regular wokforce to help with the processing of cranberries. When the seasonal workers are working, the procissed rate increasees to 125 barrels per hour. The seasonal workers would start working at 10:00 a.m. and finish working when the trucks stop waiting. What what time would ICU finish processing the cranberries using these seasonal workers?