From a recent test: Taguchi Loss Function Model $(20)$

A quality characteristic of new iPhone XIII made at the Amsterdam plant at Apple

Computers has a manufacturing specification $($in mm$)$ of $0\mathrm{.}200+/-\mathrm{.}07.$ Historical

data indicates that if the quality characteristic takes on values greater than $0\mathrm{.}27$ or

smaller than $0\mathrm{.}13$ the component fails at a cost of Euros $19\mathrm{.}19[20$ points$]$ Based on

these data:

A$)$ determine the Taguchi Loss Function $($must show work$)$ by first solving for k and

putting the coefficient of k into the functional form of the mathematics model. Label

appropriately $($hint$,$ correct currency value sign$-$or word where needed$)$

k $=$

L$($x$)=$

B$)$ calculate an estimated loss for a quality characteristic of $\mathrm{.}30$

L$(0\mathrm{.}3)=$

C$)$ calculate an estimated loss for a quality characteristic of $\mathrm{.}40.$

L$(0\mathrm{.}4)=$

D$)$ calculate an estimated loss for a quality characteristic of $\mathrm{.}50$

L$(\mathrm{.}50)=$

E$)$ Comment on the shape of the curve $-$ what does this imply?

F$)$ Then: Ask me at least one question here: $[$once this step is complete send me a message that your team is done and submit this document in Canvas. Make sure you include the LAST names of those present and working together on solving this problem as only those present ultimately get the points for participating$]$