Solve the following problem:
Q: Suppose that a metal rod is supposed to be cut 31.6 mm. in length. The upper spec limit is set at 32.4 mm., and the lower spec limit set at 30.8 mm. A metal rod that is out of spec must be scrapped at a cost of S26.00. The company uses the Taguchi Quality Loss Function to estimate quality costs. Suppose that a sample of 5 units was taken, and the rod measurements were: 31.5, 32.3, 31.3, 33.1 and 31.1 mm., respectively
a. Bob believes that the Taguchi Quality Loss function is an appropriate measure for quality costs. What is the Taguchi Quality Cost of that sample of 4 units?
b. Alternatively, Jerry likes the Taguchi Quality Loss function, but he believes that a linear function would betterrepresent the cost of quality. Specifically, Jerry prefers a loss function of the form: LETXIDI, where L, D, and have the same definitions as in the Taguchi model. What would be the quality cost of the sample of 5 units using Jerry's model?