A quality characteristic under study at Husky Tool Co$.$ has a manufacturing specification $($in cm$)$ of $0\mathrm{.}300\frac{+}{-}0\mathrm{.}07.$ Historical data indicated that if the quality characteristic takes on values larger than $0\mathrm{.}37$ or smaller than $0\mathrm{.}23$ cm $,$ the product fails and a cost of $$55$ is incurred. Based on these data,

Determine the Taguchi Loss Function

Estimate the loss for a quality characteristic of $0\mathrm{.}20$ cm $.$

Now, estimate a loss for a quality characteristic or $0\mathrm{.}05$ cm $.$

If you use the step function approach, what is the estimated loss for a quality characteristic at $0\mathrm{.}05$ cm $?$