QUESTION $22(10$ points$)-$ Cost of Quality and Pareto Chart

Following are data on cost of quality at an automobile manufacturing plant for last year:

Components under assembly product quality program ID Cost $($$M$)$ Type

Assembly$-$line worker training programs $010\mathrm{.}4?$

Inspection specialist training programs $020\mathrm{.}3?$

Testers training programs $030\mathrm{.}3?$

Design and purchase of quality inspection tools $040\mathrm{.}4?$

Regular maintenance & recalibration of precision instruments $050\mathrm{.}1?$

Regular maintenance & recalibration of manufacturing tools $060\mathrm{.}1?$

Scheduled overhaul of critical machines $070\mathrm{.}7?$

Inspections of intermediate steps $080\mathrm{.}2?$

Final$-$product testing programs $090\mathrm{.}1?$

Returning repairs and reworks $($including warranties$)100\mathrm{.}7?$

Voluntary$-$recall repairs and reworks $110\mathrm{.}6?$

Re$-$testing of repairs and remakes due to returns & recalls $120\mathrm{.}4?$

Assembly$-$line downtime due to step errors or breakdowns $130\mathrm{.}3?$

Reworks due to production errors $140\mathrm{.}3?$

Scrap $($including labor and parts$)150\mathrm{.}3?$

Supplier rating and incentive programs $160\mathrm{.}2?$

Random tests on critical components at arrival $170\mathrm{.}1?$

Quality planning and improvement initiatives $180\mathrm{.}2?$

$($a$)[3]$ Classify these data into $4$ types according to the cost$-$of$-$quality model $($P$/$A$/$I$/$E$).$

$($b$)[3]$ Calculate the totals of those $4$ cost types and draw the corresponding Pareto diagram.

$($c$)[2]$ Based on part $($b$),$ describe and interpret the results.

$($d$)[2]$ Based on part $($c$),$ make some managerial recommendation$($s$).$

$2$