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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
17.            Â
he distribution system for the Herman Company consists of three plants, two ware- houses, and four customers. Plant capacities and shipping costs per unit (in dollars) from each plant to each warehouse are as follows:
Â
Â
|
  Plant |
  1 |
Warehouse |
  2 |
  Capacity |
|
1 |
4 |
 |
7 |
450 |
|
2 |
8 |
 |
5 |
600 |
|
3 |
5 |
 |
6 |
380 |
Â
Â
Customer demand and shipping costs per unit (in dollars) from each warehouse to each customer are
Â
Â
Â
|
Warehouse |
1 |
2 |
3 |
4 |
|
1 |
6 |
4 |
8 |
4 |
|
2 |
3 |
6 |
7 |
7 |
|
Demand |
300 |
300 |
300 |
400 |
Â
Â
a.            Develop a network representation of this problem.
b.            Formulate a linear programming model of the problem.
c.             Solve the linear program to determine the optimal shipping plan.
Â
Â
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