Question: Generac assembles auxiliary power units. The RPM controller is a key component and controls rotor speed at 945 RPM with a tolerance of 52 RPM.

Generac assembles auxiliary power units. The RPM controller is a key component and controls rotor speed at 945 RPM with a tolerance of 52 RPM. Speeds outside this range requires a repair service which costs $207. The cost to inspect and recalibrate a faulty controller at the factory is $5.7. Assuming a quadratic loss function, what should be the quality control tolerance specification for the RPM controller at the Generac factory? Second place of decimal.

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