4. The ICARE Company has three plants located throughout a state with production capacity 50, 75 and 25 gallons. Each day the firm must furnish its four retail shops R1, R2, R3, & R4 with at least 20, 20, 50, and 60 gallons respectively. The transportation costs (in Rs.) are given below. The economic problem is to distribute the available product to different retail shops in such a way so that the total transportation cost is minimum? Apply Vogel's Approximation Method and solve the following table. Company R1 P1 P2 P3 Demand 323 Retail R2 5 5 6 R3 7 8 600 9 20 20 50 R4 6 22 60 Supply 50 75 25

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. The ICARE Company has three plants located throughout a
state with production capacity 50, 75 and 25 gallons. Each
day the firm must furnish its four retail shops R1, R2, R3, &
R4 with at least 20, 20, 50, and 60 gallons respectively. The
transportation costs (in Rs.) are given below. The economic
problem is to distribute the available product to different retail
shops in such a way so that the total transportation cost is
minimum?
Apply Vogel's Approximation Method and solve the
following table.
Retail
Company
R1 R2
P1
3
5
P2
2
P3
3
Demand 20 20
556
5
6
R3
R4
789
622
50
60
Supply
50
75
25
Transcribed Image Text:4. The ICARE Company has three plants located throughout a state with production capacity 50, 75 and 25 gallons. Each day the firm must furnish its four retail shops R1, R2, R3, & R4 with at least 20, 20, 50, and 60 gallons respectively. The transportation costs (in Rs.) are given below. The economic problem is to distribute the available product to different retail shops in such a way so that the total transportation cost is minimum? Apply Vogel's Approximation Method and solve the following table. Retail Company R1 R2 P1 3 5 P2 2 P3 3 Demand 20 20 556 5 6 R3 R4 789 622 50 60 Supply 50 75 25
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