2. A quality characteristic has a design specification (in cm) of 0.400 ± 0.040. If the actual process value of the quality characteristic is at the boundary of the tolerance on either side, the product will require a repair of $30. Find the value of k. Round your answer to the nearest dollar. $ State the Taguchi loss function. Round your answer for the first field to the nearest whole number and the answer for the second field to three decimal places.
L(x) = (x - )2

What is the economic loss associated with x = 0.406? Round your answer to the nearest cent. $ per part

3.The Taguchi loss function is estimated to be L(x) = 60,000(x – 0.200)2. What are the economic design specifications if the cost of inspection and adjustment is $7.00? Round your answers to three decimal places.
Break-Even Tolerance:
Lower Specification Limit:
Upper Specification Limit:

4.Suppose that the design specifications for a hydraulic cylinder are 10.00 ± 0.20 centimeters and that the Taguchi loss function is estimated to be L(x) = 1,300(x – T)2.
Determine the estimated loss for a production order if the quality characteristic under study takes on a value of 10.020 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 9.710. 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 OR B
the economic loss is lower and actual process performance is closer to the target design specification than in -Select- A OR B
. The recalibration was done -Select- CORRECTLY OR INCORRECTLY , and now the production process
-Select- NEEDS TO BE STOPPED AND RECALIBRATED AGAIN OR PERFORMS WELL AND SHOULD NOT BE CHANGED

5.The service center for a brokerage company provides three functions to callers: account status, order confirmations, and stock quotes. The reliability was measured for each of these services over one month with these results: 0.90, 0.60, and 0.98, respectively. What is the overall reliability of the call center? Round your answer to four decimal places.

6. Two cooling fans are installed in some laptop computers. Suppose the reliability of each cooling fan is 0.89. What percent improvement in reliability does adding the second fan provide? Round your answer to the nearest whole number. %