Suppose that the design specifications for a hydraulic cylinder are $10\mathrm{.}00+-0\mathrm{.}10$ centimeters and that the Taguchi loss function is estimated to be $L(x)=1,400(x-T{)}^2.$ Use the Excel template Taguchi to answer the following questions:

a$.$ Determine the estimated loss for a production order if the quality characteristic under study takes on a value of $10\mathrm{.}04$ and $100$ parts are produced. Round your answer to the nearest dollar.

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b$.$ Assume the production process is recalibrated weekly and a new sample of cylinders after recalibration reveals an $x-$bar of $9\mathrm{.}789.$ Determine the estimated loss for $100$ parts. Round your answer to the nearest dollar.

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What action, if any, is needed in this situation?

In $,$ the economic loss is lower and actual process performance is closer to the target design specification than in The recalibration was done $,$ and now the production process