The Pitman arm on a car costs $105 to repair. Compute the quality loss function for losses incurred as a result of deviation from a target where a tolerance of 10 plus or minus 0.125 is required and the mean squared deviation (V)from the target is (0.33)2.

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Quizplus · Accepted Answer

The quality loss function (QLF) can be calculated using the formula: QLF = k * V, where k is a constant calculated based on the tolerance and the cost of repair, and V is the mean squared deviation from the target. The tolerance is 0.125, so the total tolerance range is 0.25 (from -0.125 to +0.125). The constant k can be calculated as k = Cost / (Tolerance range)^2 = 105 / (0.25)^2 = 105 / 0.0625 = 1680. The mean squared deviation (V) is given as (0.33)^2 = 0.1089. Therefore, QLF = 1680 * 0.1089 = 182.952, which rounds to approximately 183. However, since this exact number isn't an option and the calculation seems to have been misunderstood, we need to reevaluate the approach or the interpretation of the options provided. Given the options and the methodology, there might have been a mistake in the calculation or interpretation of the provided options. The correct approach involves calculating the loss function based on the given parameters, but without the exact formula or correct interpretation of the options, the intended answer according to the options provided is not directly clear from the calculation shown. The correct approach should involve recalculating or correctly applying the formula for the quality loss function based on the cost, tolerance, and deviation provided.

The Pitman Arm on a Car Costs $105 to Repair