11. The distribution system for the Herman Company consists of three plants, two ware- houses, and four customers. Plant capacities and shipping costs per unit (in S) from each plant to each warehouse are as follows: Plant 13233 Demand Warehouse 1485 Warehouse 5 Customer demand and shipping costs per unit (in S) from each warehouse to each cus- tomer are as follows: 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. c. 6 3 300 2756 Customer Capacity 450 600 380 2 4 6 300 3 387 300 447 400

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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11. The distribution system for the Herman Company consists of three plants, two ware-
houses, and four customers. Plant capacities and shipping costs per unit (in S) from each
plant to each warehouse are as follows:
c.
Plant
Warehouse
Demand
-25
1
3
1
4
8
5
Customer demand and shipping costs per unit (in S) from each warehouse to each cus-
tomer are as follows:
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.
1
Warehouse
3
300
6
2
4
Customer
Capacity
450
600
380
300
3
8
7
300
4
400
Transcribed Image Text:Homework 11. The distribution system for the Herman Company consists of three plants, two ware- houses, and four customers. Plant capacities and shipping costs per unit (in S) from each plant to each warehouse are as follows: c. Plant Warehouse Demand -25 1 3 1 4 8 5 Customer demand and shipping costs per unit (in S) from each warehouse to each cus- tomer are as follows: 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. 1 Warehouse 3 300 6 2 4 Customer Capacity 450 600 380 300 3 8 7 300 4 400
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