Homework: Homework $2$

Question $4,$ Instructor$-$created question

HW Score: $10\mathrm{.}4\%,5\mathrm{.}2$ of $50$ points

Points: $0$ of $6$

Question list

Question $1$

Question $2$

Question $3$

Question $4$

Question $5$

Question $6$

Question $7$

Question $8$

Suppose that a metal rod is supposed to be cut $51\mathrm{.}8mm.$ in length. The upper spec limit is set at $52\mathrm{.}9mm.,$ and the lower spec limit set at $50\mathrm{.}7mm.$ A metal rod that is out of spec must be scrapped at a cost of $$36\mathrm{.}00.$ The company uses the Taguchi Quality Loss Function to estimate quality costs. Suppose that a sample of three units was taken, and the rod measurements were: $52\mathrm{.}2,52\mathrm{.}8,$ and $49\mathrm{.}2mm.,$ respectively.

Harry likes the Taguchi Quality Loss function, but he believes that a linear function would better represent the cost of quality. Specifically, Harry prefers a loss function of the form: $L=T|D|,$ where $L,D,$ and T have the same definitions as in the Taguchi model. What would be the quality cost of the sample of three units using Harry's model?

a$)$ The linear Taguchi parameter $T$ is $,\frac{i}{m}m($round your response to two decimal places$).$

b$)$ The Quality Cost of the first metal rod is $dots $($round your response to two decimal places$).$

c$)$ The Quality Cost of the second metal rod is $ $($round your response to two decimal places$).$

d$)$ The Quality Cost of the third metal rod is $ $($round your response to two decimal places$).$

e$)$ What is the total Taguchi$-$like Quality Cost of that sample of three units? $($