A quality characteristic under study at Trane Company has a manufacturing specification $($in cm$)$ of $0\mathrm{.}200+/-0\mathrm{.}05.$ Historical data indicates that if the quality characteristic takes on values larger than $0\mathrm{.}25$ cm or smaller than $0\mathrm{.}15$ cm$,$ the product fails and a cost of $$75$ is incurred. Based on these data,

Determine the Taguchi Loss FunctionEstimate the loss for a quality characteristic of $0\mathrm{.}135$ cm$.$Further suppose the firm can spend $ $50$ in improving their processes to reduce the specification limit$.$ What would be the revised specification limit that you would recommend?