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3 A product is produced at three plants and shipped to three warehouses (the transportation costs per unit are shown in the following table). Warehouse Plant W, W2 W3 Plant Capacity P, P2 20 16 24 300 10 10 8 500 P3 12 18 10 100 Warehouse demand 200 400 300 a. Show a network representation of the problem. b. Develop a linear programming model for minimizing transportation costs; solve this model to determine the minimum cost solution. c. Suppose that the entries in the table represent profit per unit produced at plant i and sold to warehouse i. How does the model change from that in part (b)?

3 A product is produced at three plants and shipped to three warehouses (the transportation costs per unit are shown in the following table). Warehouse Plant W, W2 W3 Plant Capacity P, P2 20 16 24 300 10 10 8 500 P3 12 18 10 100 Warehouse demand 200 400 300 a. Show a network representation of the problem. b. Develop a linear programming model for minimizing transportation costs; solve this model to determine the minimum cost solution. c. Suppose that the entries in the table represent profit per unit produced at plant i and sold to warehouse i. How does the model change from that in part (b)?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 32P
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3 A product is produced at three plants and shipped to three warehouses (the transportation costs per unit are shown in the following table). Warehouse Plant W, W2 W3 Plant Capacity P, P2 P3 20 16 24 300 10 10 500 12 18 10 100 Warehouse demand 200 400 300 a. Show a network representation of the problem. b. Develop a linear programming model for minimizing transportation costs; solve this model to determine the minimum cost solution. c. Suppose that the entries in the table represent profit per unit produced at plant i and sold to warehouse j. How does the model change from that in part (b)?
Transcribed Image Text:3 A product is produced at three plants and shipped to three warehouses (the transportation costs per unit are shown in the following table). Warehouse Plant W, W2 W3 Plant Capacity P, P2 P3 20 16 24 300 10 10 500 12 18 10 100 Warehouse demand 200 400 300 a. Show a network representation of the problem. b. Develop a linear programming model for minimizing transportation costs; solve this model to determine the minimum cost solution. c. Suppose that the entries in the table represent profit per unit produced at plant i and sold to warehouse j. How does the model change from that in part (b)?
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