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The Quality Control Manager for the NKA Inc -What Alternative Action Should Be Selected According to Expected Monetary

question 79

Essay

The quality control manager for the NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)the shipment (lot)of incoming material.The 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).Assume the following payoff table is available.The values in the payoff table are in thousands of dollars.  States of Nature  Decision S1 S2 S3 Accept 203090 Further analyze 607015 Reject 805030\begin{array} { l c c c } & { \text { States of Nature } } \\\text { Decision } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } & \mathrm {~S} _ { 3 } \\\text { Accept } & 20 & 30 & 90 \\\text { Further analyze } & 60 & 70 & 15 \\\text { Reject } & 80 & 50 & 30\end{array}
-What alternative action should be selected according to expected monetary value criterion?


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