An assembly line requires the completion of eight tasks to assemble a unit of a product. The diagram below shows the tasks, precedent relationships, and task times in minutes. The VP of Operations sets a target throughput rate of $120$ units per day. The company's assembly line operates for $20$ hours a day for five days a week.

$6$a$)$ Ignoring the throughput, what is the minimum cycle time?

$6$b$)$ Ignoring the throughput, what is the maximum cycle time?

$6$c$)$ What is the cycle time $($in min$/$unit$)$ to achieve the target throughput?

$6$d$)$ What is the minimum number of workstations?

$6$e$)$ What is the total time available during each cycle time?

$6$f$)$ What is the total idle time during each cycle time?

$6g)$ What is the assembly line efficiency?

$6$h$)$ What is the balance delay?

$6$i$)$ Use the shortest task time first decision rule to balance the assembly line.

$6$j$)$ Use the longest task time first decision rule to balanice the

ANSWERS

$6$a$)3\mathrm{.}7mi\frac{n}{?}$ unit

$6$b$)21\mathrm{.}0mi\frac{n}{u}$nit

$6$c$)10\mathrm{.}0mi\frac{n}{u}$nit

$6$d$)3$ workstations

$6$e$)30\mathrm{.}0$ minutes

$6$f$)9\mathrm{.}0$ minutes

$6$g$)70\mathrm{.}0\%$

$6$h$)30\mathrm{.}0\%$

$6$i$)$ Shortest task time first decision rule

$\backslash$table$[[$Workstation$,$Task,Total Time,Idle Time$],[1,$D$.$ E$,$ A$,8\mathrm{.}3,1\mathrm{.}70],[2,$B$,$ C$,$ G$,9\mathrm{.}2,0\mathrm{.}80],[3,$F$,$ H$,3\mathrm{.}5,6\mathrm{.}50],[$Total$,,21,9\mathrm{.}00]]$

$6$j$)$ Longest task time first decision rule

$\backslash$table$[[$Worlostation$,$Tasks,Total Time,Idle Time$],[1,$G$,$ A$,$ B$,9\mathrm{.}7,0\mathrm{.}30],[2,$C$,$ D$,$ E$,$ F$,9\mathrm{.}6,0\mathrm{.}40],[3,$H$,1\mathrm{.}7,8\mathrm{.}30],[$Total$,,21,9\mathrm{.}00]]$

Can i have the full working please.