1. Green Valley Mills produces carpet at plants in St. Louis and Richmond. The carpet is then shipped to two outlets, located in Chicago and Atlanta. The cost per ton of shipping carpet from each of the two plants to the two warehouses is as follows: To (cost) From Chicago Atlanta St. Louis $40 $65 Richmond 70 30 The plant at St. Louis can supply 250 tons of carpet per week; the plant at Richmond can supply 400 tons per week. The Chicago outlet has a demand of 300 tons per week, and the outlet at Atlanta demands 350 tons per week. The company wants to know the number of tons of carpet to ship from each plant to each outlet in order to minimize the total shipping cost. Solve this transportation problem.
1. Green Valley Mills produces carpet at plants in St. Louis and Richmond. The carpet is then shipped to two outlets, located in Chicago and Atlanta. The cost per ton of shipping carpet from each of the two plants to the two warehouses is as follows: To (cost) From Chicago Atlanta St. Louis $40 $65 Richmond 70 30 The plant at St. Louis can supply 250 tons of carpet per week; the plant at Richmond can supply 400 tons per week. The Chicago outlet has a demand of 300 tons per week, and the outlet at Atlanta demands 350 tons per week. The company wants to know the number of tons of carpet to ship from each plant to each outlet in order to minimize the total shipping cost. Solve this transportation problem.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:1.
Green Valley Mills produces carpet at plants in St. Louis and Richmond. The carpet is
then shipped to two outlets, located in Chicago and Atlanta. The cost per ton of shipping carpet
from each of the two plants to the two warehouses is as follows:
To (cost)
From Chicago
Atlanta
St. Louis
$40
$65
Richmond
70
30
The plant at St. Louis can supply 250 tons of carpet per week; the plant at Richmond can
supply 400 tons per week. The Chicago outlet has a demand of 300 tons per week, and the
outlet at Atlanta demands 350 tons per week. The company wants to know the number of tons
of carpet to ship from each plant to each outlet in order to minimize the total shipping cost.
Solve this transportation problem.
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