The Quality Control Manager for the NKA Inc Based on Historical Data,if the Lot Is of Poor Quality,40

question 62

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. $$\begin{array} { l c c c } & { \text { States of Nature } } \\\text { Decision } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } & \mathrm {~S} _ { 3 } \\\text { Accept } & 20 & 30 & 90 \\\text { Further analyze } & 60 & 70 & 15 \\\text { Reject } & 80 & 50 & 30\end{array}$$ Based on historical data,if the lot is of poor quality,40% of the items are defective.If the lot is fair quality,22% of the items are defective.If the lot is good quality,10 % of the items are defective.The quality control manager inspects one unit from a recent shipment.
-After inspecting one unit,the manager determines that the unit is not defective.Based on this additional information,determine the revised (posterior)probabilities for each of the three states of nature.

Identify the conditions under which goods are considered fungible.

Recognize the implications of F.O.B. terms in sales contracts on risk of loss and transportation costs.

Distinguish between the different titles to goods and their legal implications.

Understand the role and legal implications of bailees in the distribution of goods.

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Definitions:

Flint

A hard, sedimentary cryptocrystalline form of the mineral quartz, historically used to make tools and weapons due to its ability to be chipped into sharp edges.

Farming Populations

Communities or groups of people primarily engaged in agricultural activities and the cultivation of food and crops.

Fertility

The natural capability of giving life; in humans, it refers to the ability to reproduce.

Food Foragers

Individuals or groups who obtain food by collecting wild plants and hunting animals, rather than through agriculture or animal husbandry.