A critical part has a manufacturing specification (in cm) of 0.325 ± 0.010. Based on historic information, if this measurement is larger than 0.335 or smaller than 0.315 the product fails at a cost of $120. Determine the Taguchi loss function. A) L(x) = 1,200,000 (0.325 − 0.315)² B) L(x) = 1,200,000 (x − 0.325)² C) L(x) = 1,200 (x − 0.325)² D) L(x) = 1,200 (0.325 − 0.315)²

Question

Quizplus · Accepted Answer

The Taguchi loss function formula is L(x) = k * (x - T)^2, where k is the cost of deviation from the target value and T is the target value. In this case, the target value is 0.325 cm, and the cost of deviation is $120. The range of acceptable values is ±0.010 cm, so the target value corresponds to the middle of the range. Therefore, the formula becomes L(x) = 1200000 * (x - 0.325)^2. So, the correct choice is B.

A Critical Part Has a Manufacturing Specification (In Cm) of 0.325