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. 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. If each truck can hold 25 barrels, how many trucks are waiting at 2 pm? 8 trucks 10 trucks 6 trucks 9 trucks

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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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. 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.
If each truck can hold 25 barrels, how many trucks are waiting at 2 pm?
8 trucks
10 trucks
6 trucks
9 trucks
Transcribed Image Text: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. 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. If each truck can hold 25 barrels, how many trucks are waiting at 2 pm? 8 trucks 10 trucks 6 trucks 9 trucks
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