Two supply depots (S1 and S2) can serve the demand for three demand centers (D1, D2 and D3). The cost to transport one unit of supply from supply depot to demand center is shown on the table below. Supply depot 1 has 1,200 available units, while depot 2 has 2,000. The demand centers have 1,200 units, 1,300 units and 700 units for D1, D2 and D3, respectively. In the optimal allocation, how many units should supply depot 1 allocate to demand center 1? Use northwest corner method in determining the initial feasible solution. For determining the optimal solution, you can choose either of the two methods (stepping stone and MODI).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Two supply depots (S1 and S2) can serve the demand for three demand centers (D1, D2 and D3). The cost to transport one unit of supply from supply depot to demand center is shown on the table below. Supply depot 1 has 1,200 available units, while depot 2 has 2,000. The demand centers have 1,200 units, 1,300 units and 700 units for D1, D2 and D3, respectively. In the optimal allocation, how many units should supply depot 1 allocate to demand center 1? Use northwest corner method in determining the initial feasible solution. For determining the optimal solution, you can choose either of the two methods (stepping stone and MODI).

Unit transfer costs
Demand Center
Php per unit
D3
18
25
D1
Supply
depot
S1
S2
Php 25
30
D2
20
22
Transcribed Image Text:Unit transfer costs Demand Center Php per unit D3 18 25 D1 Supply depot S1 S2 Php 25 30 D2 20 22
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