A product's quality characteristic has a specification (in cms)of 0.700 00 ± 0.070.If the value of the quality characteristic exceeds 0.700 by the tolerance of 0.070 on either side,the product will require a repair of $680.The Taguchi loss function for this example is given by:
A)L(x)= 9500(x-T)²
B)L(x)= 138776(x-T)²
C)L(x)= 248900(x-T)²
D)L(x)= 4500(x-T)²

Question

Quizplus · Accepted Answer

The Taguchi loss function formula is L(x) = k*(x-T)^2, where k is a constant determined by the cost of repair and T is the target value of the quality characteristic. In this example, k can be calculated as k = (680/0.07)^2 = 138775.51. Therefore, the correct formula for the Taguchi loss function is L(x) = 138776(x-0.700)^2. Therefore, the best choice is B.

A Product's Quality Characteristic Has a Specification (In Cms)of 0