Operations Research010 marksNumerical: transportation problem MODIModified Distribution
Find the optimum transportation schedule from the following data in order to minimize transportation costs by using modified distribution method. | Plant | X | Y | Z | Supply (units) | |-------|---|---|---|---| | A | 5 | 2 | 8 | 150 | | B | 4 | 3 | 5 | 150 | | C | 2 | 4 | - | 200 | | D | 6 | 3 | 4 |
Find the optimum transportation schedule from the following data in order to minimize transportation costs by using modified distribution method.
| Plant | X | Y | Z | Supply (units) |
|---|---|---|---|---|
| A | 5 | 2 | 8 | 150 |
| B | 4 | 3 | 5 | 150 |
| C | 2 | 4 | - | 200 |
| D | 6 | 3 | 4 | 250 |
| Demand (units) | 250 | 200 | 175 | 625/750 |
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Cost matrix (Plant → Destination): Plant X Y Z Supply ------------------------ A 5 2 8 150 B 4 3 5 150 C 2 4 - 200 D 6 3 4 250 Demand 250 200 175 - Total Supply = 150+150+200+250 = 750 - Total Demand = 250+200+175 = 625 - Cell C-Z is prohibited (marked "-"): assign a very large cost $M$. Supply (...