Q3. (Inventory Buildup). Gary manages a receiving station for peanuts. Peanuts-filled trucks arrive at the rate 10 every hour from 6:00 am to 6:00 pm. Each truck contains 75 kilograms of peanuts. Gary can process them at a rate of 500 kilograms an hour. The station has room to hold only 2000 kilograms of peanuts in inventory prior to processing. Once this space is filled, the trucks must wait to dump their contents. (a) Draw the inventory buildup diagram. Mark the area corresponding to the total truck driver waiting time in the diagram. Total Inventory (units of measure: 1000 kilograms) 2 6am 10am 2pm 6pm (b) At what time will the trucks start to wait to unload? 10pm 2am

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Q3. (Inventory Buildup). Gary manages a receiving station for peanuts. Peanuts-filled trucks
arrive at the rate 10 every hour from 6:00 am to 6:00 pm. Each truck contains 75 kilograms of
peanuts. Gary can process them at a rate of 500 kilograms an hour. The station has room to hold
only 2000 kilograms of peanuts in inventory prior to processing. Once this space is filled, the
trucks must wait to dump their contents.
(a) Draw the inventory buildup diagram. Mark the area corresponding to the total truck
driver waiting time in the diagram.
Total Inventory (units of measure: 1000 kilograms)
4
2
0
6am
10am 2pm
6pm
(b) At what time will the trucks start to wait to unload?
10pm
2am
Transcribed Image Text:Q3. (Inventory Buildup). Gary manages a receiving station for peanuts. Peanuts-filled trucks arrive at the rate 10 every hour from 6:00 am to 6:00 pm. Each truck contains 75 kilograms of peanuts. Gary can process them at a rate of 500 kilograms an hour. The station has room to hold only 2000 kilograms of peanuts in inventory prior to processing. Once this space is filled, the trucks must wait to dump their contents. (a) Draw the inventory buildup diagram. Mark the area corresponding to the total truck driver waiting time in the diagram. Total Inventory (units of measure: 1000 kilograms) 4 2 0 6am 10am 2pm 6pm (b) At what time will the trucks start to wait to unload? 10pm 2am
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