VOOM has four warehouses 1, 2,3, and 4. VOOM needs to supply 200 Tons to Retailer P, 200 Tons to Retailer Q, and 200 tons to Retailer R. The cost of delivery from each warehouse to retailers is provided in the following table. While each warehouse has an inventory of 500 tons they can supply, R requires that every warehouse supplies at least 25 tons to R. There is a special arrangement between Warehouse 4 and R which requires that Warehouse 4 has to supply exactly 55 tons to R. On the other hand, P can take up to 150 tons each from warehouses 1 and 2. •Use linear programming to provide VOOM with a plan to keep their transportation cost minimal.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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• VOOM has four warehouses 1, 2,3, and 4. VOOM needs
to supply 200 Tons to Retailer P, 200 Tons to Retailer Q,
and 200 tons to Retailer R. The cost of delivery from
each warehouse to retailers is provided in the following
table. While each warehouse has an inventory of 500
tons they can supply, R requires that every warehouse
supplies at least 25 tons to R. There is a special
arrangement between Warehouse 4 and R which
requires that Warehouse 4 has to supply exactly 55
tons to R. On the other hand, P can take up to 150 tons
each from warehouses 1 and 2.
• •Use linear programming to provide VOOM with a plan
to keep their transportation cost minimal.
Transcribed Image Text:• VOOM has four warehouses 1, 2,3, and 4. VOOM needs to supply 200 Tons to Retailer P, 200 Tons to Retailer Q, and 200 tons to Retailer R. The cost of delivery from each warehouse to retailers is provided in the following table. While each warehouse has an inventory of 500 tons they can supply, R requires that every warehouse supplies at least 25 tons to R. There is a special arrangement between Warehouse 4 and R which requires that Warehouse 4 has to supply exactly 55 tons to R. On the other hand, P can take up to 150 tons each from warehouses 1 and 2. • •Use linear programming to provide VOOM with a plan to keep their transportation cost minimal.
Delivery
cost/ton($)
P
Q
R
Warehouse
1 $ 14.00 $ 30.00 $ 20.00
Warehouse
2 $ 30.00 $ 40.50 $ 15.00
3 $ 18.50 $ 20.00 $ 24.00
Warehouse
Warehouse 4 $15.50 $ 12.50 $ 28.00
Transcribed Image Text:Delivery cost/ton($) P Q R Warehouse 1 $ 14.00 $ 30.00 $ 20.00 Warehouse 2 $ 30.00 $ 40.50 $ 15.00 3 $ 18.50 $ 20.00 $ 24.00 Warehouse Warehouse 4 $15.50 $ 12.50 $ 28.00
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