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

question 2

Short Answer

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 maximin criterion?

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Definitions:

Redundant PLC System

A PLC setup where multiple processors or systems are used in parallel to ensure continued operation in case one fails.

Two Processors

A system configuration that involves two central processing units (CPUs) working together, often to increase performance or provide redundancy.

Actuator

A device used to convert a control signal into mechanical motion.

Discrete Output

Pertains to an output signal in automation systems that has only two states, commonly referred to as On or Off.