A critical part has a manufacturing specification (in cm) of 0.325 ± 0.010. Based on this 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 in the given scenario.
A) L(x) = 1,200,000 (x - 0.335) 2
B) L(x) = 1,200,000 (x - 0.325) 2
C) L(x) = 1,200 (x - 0.315) 2
D) L(x) = 1,200 (x - 0.010) 2

Question

Quizplus · Accepted Answer

The Taguchi loss function formula is L(x) = k(x-T)^2, where k is a constant and T is the target value. In this scenario, the target value is 0.325 and the cost of failure is $120. To determine the value of k, we can use the formula k = Cost of deviation / (Target value - Specification limit)^2. Substituting the given values, we get k = 120 / (0.01)^2 = 1,200,000. Therefore, the Taguchi loss function in this scenario is L(x) = 1,200,000 (x-0.325)^2, which corresponds to option B.

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