Premium Compression Molding $($PCM$)$ produces jet ski shells, used in the watersports market, has been having issues which increased scrap rates which makes it less profitable. The following table lists types of problems found, average internal monthly scrap frequency $($over the past two years$),$ average items found at customer's site $($over the past two years$).$

Additionally, the following facts are also known about the process:

$-$ Current monthly production rate is $5,000$ units

$-$ Average cost of scrapping $/$ dispositioning $($handling$)$ for each unit found Internally $\backslash (=\backslash$$ $40\backslash ).$

$-$ Average cost of scrapping $/$ dispositioning $($handling$)$ for each unit found at customer's site $\backslash (=\backslash$$ $90\backslash )$

$-$ The average manufacturing cost per unit is $\backslash (\backslash$$ $110\backslash ).$

$-$ Current average cycle time per unit in production is $180$ seconds and a standard deviation of $5$ seconds.

Part $1.$ Assignment $($All Deliverables in Define and Measure phases$)$