Question $2$: $[30$ Marks$]$

line, givent is introducing a new model of a sweater and needs to balance the process for its new production

the cycle the following task times, precedence relationships and precedence diagram as below. Assume that

$\backslash$table$[[$Task$,$Time $($minutes$),$Immediate Predecessor$],[$A$,8,$Nil$],[$B$,7,$Nil$],[$C$,4,$A$,$ B$],[$D$,6,$A$],[$E$,6,$D$,$ C$],[$F$,6,$C$],[$G$,4,$D$,$ F$],[$H$,6,$E$,$ G$],[,,]]$

You are required to:

a$.$ Calculate the minimum possible number of workstations $(N_{\text{m}\text{i}\text{n}})$ required for this production process.

b$.$ Assign tasks to stations by using the greatest number of followers decision rule. the longest task time as the tie breaker to assign tasks to stations.

c$.$ Draw the product layout with the

d$.$ Determine the layout with the assignment of task into each workstation.

$[12$ Marks$]$

e$.$ Compute the efficiency of the process.

$[3$ Marks$]$

$[3$ Marks$]$

for this production line assuming a $600-$minute working day. $[3$ Marks$]$

produs the designed product layout and the operating time unchanged, LN wishes to improve the daily target? Yivity and the efficiency both by $3\%$ without any additional cost, how should LN do to achieve the $[6$ Marks$]$

End of the assignment