11. The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows: Warehouse Plant 1 2 Сараcity 1 4 7 450 8 600 380 Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows: Customer Warehouse 1 4 6. 3 8. 4 1 2 4 6. 7 7 Demand 300 300 300 400 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.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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11. The distribution system for the Herman Company consists of three plants, two warehouses,
and four customers. Plant capacities and shipping costs per unit (in $) from each plant to
each warehouse are as follows:
Warehouse
Plant
1
2
Capacity
450
600
1
4
7
2
8
5
3
5
380
Customer demand and shipping costs per unit (in $) from each warehouse to each customer
are as follows:
Customer
Warehouse
1
2
3
4
1
2
4
6
8
4
7
7
Demand
300
300
300
400
a. Develop a network representation of this problem.
b. Formulate a linear programming model of the problem.
Solve the linear program to determine the optimal shipping plan.
с.
63
Transcribed Image Text:11. The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows: Warehouse Plant 1 2 Capacity 450 600 1 4 7 2 8 5 3 5 380 Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows: Customer Warehouse 1 2 3 4 1 2 4 6 8 4 7 7 Demand 300 300 300 400 a. Develop a network representation of this problem. b. Formulate a linear programming model of the problem. Solve the linear program to determine the optimal shipping plan. с. 63
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