A process involveds drilling holes that are supposed to be 3 inches deep. If it is known that the quality cost of a hole drilled 2.95 inches deep is $5.00, what is Taguchi's quality loss function for this process?

Taguchi's quality loss function is a mathematical model that quantifies the cost associated with deviations from the target value. It is used to measure the quality loss caused by variation from ideal specifications.

To calculate Taguchi's quality loss function for this process, we need the target value (3 inches) and the cost associated with deviations from the target value. In this case, the cost is given as $5.00 for a hole drilled 2.95 inches deep.

The formula for Taguchi's quality loss function is:

Loss = (Deviation from Target Value)^2 * Cost per Deviation

In this case, the deviation from the target value is 3 - 2.95 = 0.05 inches. Plugging in the values into the formula, we can calculate the quality loss:

Loss = (0.05)^2 * $5.00
= 0.0025 * $5.00
= $0.0125

Therefore, Taguchi's quality loss function for this process is $0.0125.