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CMA Intermediate · Operations Management and Strategic Management · Job Evaluation, Job Allocation - Assignment

To convert a maximisation assignment problem (profit matrix) into a minimisation problem for the Hungarian method, one should:

Subtract every element of the profit matrix from the largest profit in the matrix, producing an opportunity-loss matrix. Minimising total opportunity loss with the Hungarian method gives the assignment that maximises total profit.

  1. ASubtract every profit from the largest profit in the matrixCorrect
  2. BAdd the smallest profit to every element
  3. CDivide each profit by the row total
  4. DSubtract each row minimum from its row only

Explanation

Subtracting each element from the largest element in the matrix gives an opportunity-loss matrix, which is then minimised. Minimising it gives the maximum profit assignment. The other options do not convert maximisation to minimisation.

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