Product A and $B$ will $be$ produced $in$ a manufacturing company with the annual production

rate $of80,000$ units for Product A and $65,000$ for Product $B.$ Production sequence for both products $is$ the

same: Drilling $$ Turning $$ Milling. Machine availability for all departments $is90\%,$ with the remaining

time being required for maintenance and repair work. One daily setup $of0\mathrm{.}20$ hours will $be$ required for

each machine regardless $of$ the type $of$ operation. Given that this plant will work $250$ workdays per year

with a daily shift $of8$ hours, $itis$ desired $to$ determine the number $of$ machines required $(if$ decimal $is$

$0\mathrm{.}09$ round down otherwise round $up).(40pt)$

Scrap rate $is2\%.$

Drilling Department

Cycle time for Product $A=0\mathrm{.}05hr$

Cycle time for Product $B=0\mathrm{.}07hr$

Turning department

Cycle time for Product $A=0\mathrm{.}2hr$

Cycle time for Product $B=0\mathrm{.}15hr$

Milling Department

Cycle time for Product $A=0\mathrm{.}12hr$

Cycle time for Product $B=0\mathrm{.}23hr$