Question

The coefficient, k, of the Taguchi Loss Function is 1.00. Part cost is $2.25. What are the specification limits? 24.5 to 27.5 375 to 425 15.0 to 16.0 3.1 to 3.3 19.9 to 21.1 11.6 to 11.9

Answer 1

(Note: As per the organizational policy guidelines of Chegg for the subject matter experts, we can answer only the first question out of the posted multiple questions, unless the user has specified a particular question to be answered.)

Answer 1:

The correct answer to the given question would be an Option A (i.e., The First Option)

Reason/Explanation:

Let,

L(x) = Estimated Loss = 2.25 $,

T = Target Value = ?,

x = Measured Value of quality characteristic = (U + L) / 2

D = x - T = U or L (i.e., Higher value is U and Lower value is L)

U = Upper Specification Limit

L = Lower Specification Limit

U - L = 2 x D

k = constant Loss Coeeficient = 1

Then,

Taguchi Loss Function is = Estimated Loss = L(x) = k * D^2

∴ 2.25 = 1 * (D)^2

∴ D = SQRT (2.25)

∴ D = 1.5

∴ U - L = 2 * (1.5)

∴ U - L = 3

Now, we check the given options and verify the difference between Upper Specification Limit and Lower Specification Limit. Thus, we note that for only the first option the difference between USL and LSL is 3 hence, we conclude that the correct answer to the given question, is the first option.