Distribution Network Planning. 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 1 4 7 450 2 8 5 600 3 5 6 380 Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows. MLO 3   Customer     Warehouse 1 2 3 4 1 6 4 8 4 2 3 6 7 7 Demand 300 300 300 400    Formulate a linear programming model of the problem. Solve the linear program to determine the optimal shipping plan.

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
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Problem 5.1SC: Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing...
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        Distribution Network Planning. 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

1

4

7

450

2

8

5

600

3

5

6

380

Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows. MLO 3

 

Customer

 

 

Warehouse

1

2

3

4

1

6

4

8

4

2

3

6

7

7

Demand

300

300

300

400

 

 Formulate a linear programming model of the problem.

Solve the linear program to determine the optimal shipping plan.

 

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