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

question 96

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. $$\begin{array} { l c c c } & { \text { States of Nature } } \\\text { Decision } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } & \mathrm {~S} _ { 3 } \\\text { Accept } & 20 & 30 & 90 \\\text { Further analyze } & 60 & 70 & 15 \\\text { Reject } & 80 & 50 & 30\end{array}$$
-What alternative action should be selected according to maximin criterion?

Understand the concept of expected value of perfect information and its significance.

Recognize the symbols and elements of a decision tree, including nodes and their meanings.

Understand the various decision-making environments and criteria, including certainty, risk, and uncertainty.

Comprehend the calculation and implication of expected monetary values in decision-making.

---

Definitions:

Reward-to-Variability Ratio

A measure of the return on an investment relative to its risk, higher values indicate better risk-adjusted returns.

Standard Deviation

A statistical measure that quantifies the variability or dispersion of a set of data points or the volatility of an investment's returns.

Risk-Free Rate

The theoretical rate of return on an investment with zero risk, typically represented by the yield on government securities.

Firm-Specific Risk

This is the type of risk that affects only a particular company or industry, not the entire market or economy.