The XYZ Company produce the wheels for car. The desired diameter of wheel is 400 mm (the nominal value). A tolerance of 10 mm above or below 400 mm is acceptable to purchasers. If a diameter of wheel measures less than 390 mm or more than 410 mm, it is deemed not conforming to specifications, and is scrapped at a cost of $20 per wheel.

a. Please calculate the cost of wheel of different diameter using Taguchi and Goal post views assume diameters of the wheel range from 380 to 420mm, increment of 2mm.

b. Suggest some solutions to reduce this cost for company?