CMA Final · Strategic Cost Management · Decision Making using Probability
Profits (₹ lakh) of three options under three states are: A1: 50, 30, 20; A2: 40, 45, 25; A3: 30, 35, 60. Using the minimax regret criterion, what is the minimised maximum regret?
The minimax regret is ₹20 lakh, achieved by option A3. Building the regret table against column maxima of 50, 45 and 60 gives maximum regrets of 40 for A1, 35 for A2 and 20 for A3. The smallest of these is 20.
- A₹35 lakh
- B₹40 lakh
- C₹15 lakh
- D₹20 lakhCorrect
Explanation
Column maxima are 50, 45, 60. Regrets: A1 = 0, 15, 40 (max 40); A2 = 10, 0, 35 (max 35); A3 = 20, 10, 0 (max 20). The smallest of the maximum regrets is 20, for A3. The 35 option is A2's maximum regret, which is not the minimum.
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