Answer:
The estimated loss is $5,400 if the value of the quality characteristic,x is 85.
Explanation:
We are given the following in the question:
Target value,T = 82
Cost coefficient, k = $6,000
x = 85
The Taguchi Quality Loss Function (QLF) is given by:
![L(x) = k(x -T)^2](https://img.qammunity.org/2021/formulas/mathematics/college/8u9g4daolb8sh2mxmqwpc1w9ioj8cy5541.png)
where L(x) is the loss, k is the cost coefficient, T is the target value or the mean value.
We have to estimate the loss if the value of the quality characteristic is 85.
We put x = 85
![L(85) = 6000(85 -82)^2\\L(85) =54000](https://img.qammunity.org/2021/formulas/mathematics/college/8lqs9frnfk431yjfyt6xlv2keokelyp68j.png)
Thus, the estimated loss is $5,400 if the value of the quality characteristic,x is 85.