What happens if a transportation problem is unbalanced?
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An unbalanced transportation problem occurs when the total supply from sources doesn't equal the total demand from destinations. This can happen if there is either excess supply or excess demand. To resolve this, a common approach is to add a "dummy" source or destination. If there's excess supply, a dummy destination is added with demand equal to the surplus, and if there's excess demand, a dummy source is added with supply equal to the deficit. This adjustment helps balance the problem, allowing it to be solved using standard transportation methods
If a transportation problem is unbalanced, it can be adjusted by adding a dummy source or destination with zero transportation costs to equalize supply and demand.
If the total supply is not equal to the total demand, dummy rows or columns are added with zero transportation costs to balance the problem. This ensures that all constraints are met.