Question:easy

The penalty of a row in a transportation problem is obtained by

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Vogel's Approximation Method (VAM) Penalty rule rule can be easily summarized as: \[ \text{Penalty} = \text{Second Minimum Element} - \text{First Minimum Element} \] This calculated value measures the financial risk of missing out on the absolute cheapest route.
Updated On: Jul 4, 2026
  • Deducting smallest element in the row from all other elements of the row
  • Deducting smallest element in the row from the next highest element of the row
  • Adding smallest element in the row to all other elements of the row
  • None of the options are correct
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The Correct Option is B

Solution and Explanation

Vogel's Approximation Method tries to measure how costly it would be to miss picking the cheapest route in a row. To do this, for every row we look at the two lowest cost cells, take the very cheapest one and the next cheapest one right after it, and subtract the cheapest from the next cheapest. That gap is the penalty, it tells us how much extra we would pay per unit if we could not use the best cell in that row. This matches option 2, deducting the smallest element in the row from the next highest element of the row, and is different from a plain row reduction where the smallest element is subtracted from every element in the row.
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