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?

Question

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?

Quizplus · Accepted Answer

The Answer of 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?

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