$($a$)$ Based on the information and data provided in the write$-$up above, determine the followings:

$($i$)$ Determine the percentages of scrap and rework.

$($ii$)$ How can the process be adjusted to eliminate all but $0\mathrm{.}1\%$ of the scrap?

$($b$)$ What is the quality level of the original process in Q$1.$

$($c$)$ Using Cp $=\frac{\text{U}\text{S}\text{L}-LSL}{6},$ determine new process performance for the original process to

operate at $6$ quality level. Explain why you think such a new process performance is not easy to

achieve.

$($d$)$ Using the information and data given above as much as possible and by making relevant

assumptions, explain to the management what needs to be done to improve the product quality

using DMAIC.