Suppose that the design specifications for a hydraulic cylinder are 11.00 ± 0.30

Question

Suppose that the design specifications for a hydraulic cylinder are 11.00 ± 0.30 centimeters and that the Taguchi loss function is estimated to be L(x) = 1,600(x – T)2.

Determine the estimated loss for a production order if the quality characteristic under study takes on a value of 11.060 and 100 parts are produced. Round your answer to the nearest dollar.
$  

Assume the production process is recalibrated weekly, and a new sample of cylinders after recalibration reveals an x-bar of 10.595. Determine the estimated loss for 100 parts. Round your answer to the nearest dollar.
$  

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

In -Select-(a)(b)Item 3 the economic loss is lower and actual process performance is closer to the target design specification than in -Select-(a)(b)Item 4 . The recalibration was done -Select-correctlyincorrectlyItem 5 , and now the production process -Select-needs to be stopped and recalibrated againperforms well and should not be changedItem 6 .

Explanation / Answer

T = 11.00

1) With x = 11.060, estimated loss for 100 parts = 100*1600*(11.06-11.00)^2 = $ 576

2) After calibration, x = 10.595, estimated loss for 100 parts = 100*1600*(10.595-11.00)^2 = $ 26,244

3) Action needed - The recalibration was done incorrectly, and now the production process needs to be stopped and recalibrated again

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