Model III. Taguchi Loss Function $[20$ points$]$

A quality characteristic of new reMarkable writing tablet co$.$ made at the Antwerp manufacturing plant in Belgium has a manufacturing specification $($in mm$)$ of $0\mathrm{.}200+/-\mathrm{.}04.$ Historical data indicates that if the quality characteristic takes on values greater than $0\mathrm{.}24$ or smaller than $0\mathrm{.}16$ the component fails at a cost of $16\mathrm{.}52$ Euros. Based on these data:

Available points are in $($parentheses$).$ Place boxes around your final answers.

A$)$ Solve for k $(4)$

B$)$ List the Taguchi Loss Function Model in mathematical form: $(4)$

C$)$ calculate an estimated loss for a quality characteristic of $\mathrm{.}25(4)$

D$)$ calculate an estimated loss for a quality characteristic of $\mathrm{.}30(4)$

E$)$ calculate an estimated loss for a quality characteristic of $\mathrm{.}45(4)$

$$ Make sure to use the correct currency