An automatic cookie machine must deposit a specified amount of 25 0.2 grams (g) of dough for each cookie on a conveyor belt. If the machine either over- or underdeposits the mixtureby 0.2 grams, it costs $0.02 to scrap the defective cookie.

(a) Determine the Taguchi loss function?

(b) If the process is centered on the target specification with a standard deviation of 0.06 grams, what is the expected loss per unit?

(c) If the process is normally distributed with a mean of 24 grams and a standard deviation of 0.06 grams, what is the expected loss per unit?