A precision foundry makes by investment casting turbine blades and before delivery to the customer inspects for eight features that are considered critical-to-quality. During the previous month, 1,500 castings were produced. During inspection, 60 defects among the eight features were found, and 30 castings (manufactured blades) had one or more defects. Determine DPMO, DPM, and DUPM in a Six Sigma program for these data and convert each to its corresponding sigma level.
part b : In the previous problem, if the foundry desired to improve its quality performance to the 5.0 sigma level in all three measures of DPM, how many defects and defective units would they produce in an annual production quantity of 15,000 castings? Assume the same eight features are used to assess quality