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

Workers A, B and C are to be assigned to Jobs 1, 2 and 3 (one each). Costs in ₹ hundred are: A: 8, 6, 10; B: 9, 7, 12; C: 6, 5, 11 (for Jobs 1, 2, 3 respectively). Worker A cannot be assigned Job 3. What is the minimum total cost (₹ hundred)?

The minimum cost is ₹24 hundred. Excluding every arrangement that gives Worker A Job 3, the feasible totals are 26, 25, 26 and 24. The cheapest is A to Job 2, B to Job 3 and C to Job 1. The unrestricted optimum of 23 is not allowed.

  1. A23
  2. B24Correct
  3. C25
  4. D26

Explanation

Of the six possible assignments, those with A on Job 3 are excluded (costs 24 and 23). The remaining totals are 26, 25, 26 and 24. The minimum is 24, from A-Job 2, B-Job 3, C-Job 1 (6+12+6). The value 23 is the unrestricted optimum, which uses the forbidden A-Job 3.

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