Suppose a company has two plants to produce a product and send to three warehouses. Each plant has a capacity limit, and each warehouse has a demand to satisfy the local demands. The following table shows the shipping cost/product from each plant to each warehouse. Plants Warehouses Сарacity Corpus Dallas Kingsville San Antonio 32 33 55 20 Houston 20 29 22 20 Demands 10 10 20 Please formulate this problem as a LP to find the minimum shipping cost.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 67P
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define your decision variables, then objective function, and constraints

 

 

Suppose a company has two plants to produce a product and send to three warehouses. Each plant has a capacity limit, and each
warehouse has a demand to satisfy the local demands. The following table shows the shipping cost/product from each plant to each
warehouse.
Plants
Warehouses
Capacity
Corpus
Dallas
Kingsville
San Antonio
32
33
55
20
Houston
20
29
22
20
Demands
10
10
20
Please formulate this problem as a LP to find the minimum shipping cost.
Transcribed Image Text:Suppose a company has two plants to produce a product and send to three warehouses. Each plant has a capacity limit, and each warehouse has a demand to satisfy the local demands. The following table shows the shipping cost/product from each plant to each warehouse. Plants Warehouses Capacity Corpus Dallas Kingsville San Antonio 32 33 55 20 Houston 20 29 22 20 Demands 10 10 20 Please formulate this problem as a LP to find the minimum shipping cost.
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