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 0.75 is required and the mean squared deviation (V)from the target is (0.025)2.

Question

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 ±0.75, so the total tolerance range is 1.5. The formula for k is k = (Cost of repair) / (Tolerance range/2)^2 = 105 / (0.75)^2 = 105 / 0.5625 = 186.67. Therefore, QLF = 186.67 * (0.025)^2 = 186.67 * 0.000625 = 0.1166675, which rounds to 0.12.

The Pitman Arm on a Car Costs $105 to Repair