A quality engineer has a manufacturing specification $($in cm$)$ of $0\mathrm{.}200$ plus or minus $0\mathrm{.}05.$ Historical data indicates that if the quality characteristic takes on values larger than $\mathrm{.}25$ cm or smaller than $\mathrm{.}15$ cm$,$ the product fails and a cost of $$75$ is incurred. Determine the Taguchi Loss Function and estimate the loss for a dimension of $0\mathrm{.}135$ cm$.$

a

$$97\mathrm{.}50$ average loss per part in this set

b

$$92\mathrm{.}59$ average loss per part in this set

c

$$6\mathrm{.}34$ average loss per part in this set

d

$$126\mathrm{.}75$ average loss per part in this set

e

$$1,950$ average loss per part in this set