$2.$ A team was formed to study the auto part at Adams Metal Fabricating described in Problem $8.$ While continuing to work to find the root cause of scrap, the team found a way to reduce the cost for scrapping the part to $$45$ per part.

a$.$ Determine the Taguchi loss function for this situation.

b$.$ If customer complaints peak when the parts are more than $2\mathrm{.}00$ centimeters $($cm$)$ above or below the nominal dimension, what is the loss?