2\" Suppose that the specifications for a part (in inches) + 0.02, and that the

Question

2" Suppose that the specifications for a part (in inches) + 0.02, and that the Taguchi loss function is are 6.00 estimated to be L(x) = 6,800 (x-T)2. Determine the economic loss ifx = 6.05 inches. Eng addi pro the bei 3.* A quality characteristic has a design specification (in cm) of 0.200 ± 0.020. If the actual process value of the quality characteristic is at the boundary of the tolerance on either side, the product will require a repair of $30. Find the value of k, and state the Taguchi loss function. What is the economic loss associated with x = 0.205? 4.* For the situation in problem 3, what are the economic design specifications if the cost of inspection and adjustment is $7.50?

Explanation / Answer

2) The Taguchi Loss Function is:

L(x) = k(x - T)2 = 6,800(6.05 - 6.00)2 = 6,800 (.05) 2 = $17 per part

6.05 is beyond the specification of 6.00 so, we expect the Taguchi economic loss to be relatively high per part.   If 10 parts were produced at a dimension of 6.05, then the economic loss is 10($ 17) = $ 170.

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