The Quality Control Manager for NKA Inc

question 69

Essay

The quality control manager for NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)an incoming shipment (lot)of microchips.The historical data indicate that there is a 30 percent chance that the lot is poor quality (S₁),50 percent chance that the lot is fair quality (S₂),and 20 percent 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. Bf the lot is poor quality,40 percent of the items are defective.If the lot is fair quality,22 percent of the items are defective.If the lot is good quality,10 percent of the items are defective.The quality control manager inspects one unit from a recent shipment.After inspecting it,he determines that the unit is defective.Given that the inspected item is defective,determine which alternative action the quality control manager should choose.

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Definitions:

Negative Externality

A situation where a third party suffers costs from an economic transaction in which they are not directly involved.

Patent

A government-granted exclusive right to an inventor, allowing them the sole right to make, use, and sell an invention for a certain period of time.

Socially Optimal Outcome

A state in which a market or economy operates at peak efficiency, distributing resources in a way that benefits the maximum number of people.

Antibiotic-Resistant Diseases

Infections caused by bacteria that have evolved the ability to survive treatment with antibiotics that were previously effective against them.