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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 a.m. until 2:00 p.m. 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. The bins at ICU can hold up to 250barrels of cranberries before overflowing. If a truck arrives and the bins are full, the truck must wait until there is room in the bins.
ICU is considering using seasonal workers in addition to their regular workforce to help with the processing of cranberries. When the seasonal workers are working, the processing rate increases to 125 barrels per hour. The seasonal workers would start working when trucks start to waitand finish working when the truck inventory reaches its peak level. At what time would ICU finish processing the cranberries using these seasonal workers?
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