A logistics company wants to transport wood from 3 forestry centers to 5 demand centers. Transportation costs (in euros) are shown in the following table along with production and demand at each center: F1 F2 F3 Demand D1 100 350 300 10 D2 200 300 200 20 D3 400 600 450 16 D4 350 700 300 20 D5 Production 150 500 200 7 30 20 28 What is the transportation program that minimizes the total transportation cost? Obtain an initial solution with the least cost method. Find the transportation schedule that minimizes the total transportation cost. Report the minimum total transportation cost.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A logistics company wants to transport wood from 3 forestry centers to 5 demand centers.
Transportation costs (in euros) are shown in the following table along with production and demand
at each center:
F1
F2
F3
Demand
D1
100
350
300
10
D2
200
300
200
20
D3
400
600
450
16
D4
350
700
300
20
D5 Production
150
500
200
7
30
20
28
What is the transportation program that minimizes the total transportation cost?
Obtain an initial solution with the least cost method.
Find the transportation schedule that minimizes the total transportation cost.
Report the minimum total transportation cost.
Indicate whether there are alternative optimal solutions, and if so, it obtains them.
Please be as clear as possible. Explain all the steps of the problem. Answer all the points requested.
Thank you very much.|
Transcribed Image Text:A logistics company wants to transport wood from 3 forestry centers to 5 demand centers. Transportation costs (in euros) are shown in the following table along with production and demand at each center: F1 F2 F3 Demand D1 100 350 300 10 D2 200 300 200 20 D3 400 600 450 16 D4 350 700 300 20 D5 Production 150 500 200 7 30 20 28 What is the transportation program that minimizes the total transportation cost? Obtain an initial solution with the least cost method. Find the transportation schedule that minimizes the total transportation cost. Report the minimum total transportation cost. Indicate whether there are alternative optimal solutions, and if so, it obtains them. Please be as clear as possible. Explain all the steps of the problem. Answer all the points requested. Thank you very much.|
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