The outside diameter of a part used in a gear assembly is known to be normally distributed with a mean of 40 mm and standard deviation of 2.5 mm. The specifications on the diameter are (36, 45), which means that part diameters between 36 and 45 mm are considered acceptable.
The unit cost of rework is $0.20, while the unit cost of scrap is $0.50. If the daily production rate is 2000, what is the expected total daily cost of rework and scrap?