In order for the assignment problem method to yield an optimal solution all of the transportation costs in the area must be identical.

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Quizplus · Accepted Answer

The statement is not true. In fact, the assignment problem method can handle different transportation costs as long as they satisfy certain restrictions, such as being a complete bipartite graph. However, if the transportation costs are not balanced (i.e. the total supply and demand do not match), a dummy row/column can be added to make them balanced and then solved using the assignment method.

In Order for the Assignment Problem Method to Yield an Optimal