Question: Consider the transportation problem and its initial solution in the table below. The cell source 3 dimensional is currently empty . What would be the
- Consider the transportation problem and its initial solution in the table below. The cell source 3 dimensional is currently empty. What would be the change in the objective if the largest possible amount were shipped using that route leaving all the supply and demand conditions unchanged?
NOTE: if the first (COSTS) table interior cells show units costs, and margin figures show demand requirements supply capacity in units. The second table shows units allocated in the initial solution.
| Transportation Costs | Dest 1 | Dest 2 | Dest 3 | Dest 4 | SUPPLY |
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| Source 1 | 12 | 18 | 9 | 11 | 45 |
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| Source 2 | 19 | 7 | 30 | 15 | 145 |
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| Source 3 | 8 | 10 | 14 | 16 | 50 |
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| Demand | 80 | 30 | 70 | 60 | 240/240 |
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| Shipments | Dest 1 | Dest 2 | Dest 3 | Dest 4 | Row Total |
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| Source 1 | 30 | 0 | 70 | 5 | 105 |
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| Source 2 | 0 | 60 | 0 | 85 | 145 |
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| Source 3 | 50 | 0 | 0 | 0 | 50 |
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| Colum total | 80 | 60 | 70 | 90 | 300/300 |
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a) 150 b) 75 c)17 d)3 e)15
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