The Quality Control Manager for ENTA Inc -What Action Would You Choose According to Minimax Regret Criterion

question 89

Essay

The quality control manager for ENTA Inc. must decide whether to accept (A1), further analyze (A2), or reject (A3) a lot of incoming material. Assume the following payoff table is available. Historical data indicates that there is 30% chance that the lot is poor quality (S1), 50 % chance that the lot is fair quality (S2), and 20% chance that the lot is good quality (S3).
$$\begin{array} { l r r r } & \mathbf { S } _ { \mathbf { 1 } } & \mathbf { S } _ { \mathbf { 2 } } & \mathbf { S } _ { \mathbf { 3 } } \\\mathbf { A } _ { \mathbf { 1 } } & 20 & 30 & 90 \\\mathbf { A } _ { \mathbf { 2 } } & 60 & 70 & 10 \\\mathbf { A } _ { \mathbf { 3 } } & 80 & 50 & 40\end{array}$$
-What action would you choose according to minimax regret criterion?

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