In season, trucks full of freshly harvested cranberries arrive at the Fruity Fruit processing plant between 7:00
Question:
In season, trucks full of freshly harvested cranberries arrive at the Fruity Fruit processing plant between 7:00 and 19:00 at the relatively constant rate of 21 per hour. Since a full truck carries 50 barrels (1 barrel = 50kg), this is equivalent to 1050 barrels/hour.
When it arrives in the plant’s yard, the truck empties its load into the fruit dumpers. If those are full, the truck must wait until there is enough free room in the dumpers to empty its load. The dumpers can store up to 3200 barrels. The waiting cost for one truck for one hour is estimated at $75.
The plant processes cranberries at a rate of 600 barrels per hour, beginning at 11:00, until the dumpers are emptied of the deliveries of the day.
Probability and Statistics
ISBN: 978-0321500465
4th edition
Authors: Morris H. DeGroot, Mark J. Schervish