CMA Intermediate · Operations Management and Strategic Management · Job Evaluation, Job Allocation - Assignment
To solve a maximisation assignment problem with the Hungarian method, a profit matrix has a largest element of ₹25 thousand. What is the converted entry for a cell with profit ₹17 thousand?
The converted entry is ₹8 thousand. In a maximisation assignment problem, each profit is subtracted from the largest profit (25 − 17 = 8) to create an opportunity-loss matrix, and the Hungarian minimisation steps are then applied.
- A₹42 thousand
- B₹17 thousand
- C₹8 thousandCorrect
- D₹25 thousand
Explanation
For maximisation, each profit is subtracted from the largest profit in the matrix to form an opportunity-loss matrix, which is then minimised. The entry is 25 − 17 = 8 thousand. Adding the figures (42) is the wrong operation, and leaving the entry unchanged (17) would not convert the problem.
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