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

Three workers A, B and C are to be assigned to three tasks 1, 2 and 3, one each. Profit (₹ hundreds) is: A: 20, 28, 24; B: 26, 22, 30; C: 24, 30, 18 for tasks 1, 2, 3 respectively. What is the maximum total profit?

The maximum profit is ₹8,200, obtained by assigning A to task 2, B to task 3 and C to task 1. This gives 28+30+24 = 82 hundred. Every other one-to-one assignment yields 80 or less.

  1. A₹ 8,200Correct
  2. B₹ 8,000
  3. C₹ 8,400
  4. D₹ 7,800

Explanation

Convert to a loss matrix by subtracting from 30, or evaluate all six assignments. Totals are 60, 80, 72, 82, 80 and 70. The best is A-2, B-3, C-1 = 28+30+24 = 82 (hundreds), i.e. ₹8,200. The ₹8,000 option comes from a different, suboptimal pairing.

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