Problem $2.$

Use the longest work element rule to balance the assembly line described in the following table so that it will produce $40$ units per hour.

$\backslash$table$[[$Work Element,Time $($Sec$),\backslash$table$[[$Immediate Predecessor$($s$)],[$A$]]],[$B$,40,$A$],[$C$,80,$A$],[$D$,30,$B$],[$E$,25,$C$],[$F$,20,$B$],[$G$,15,$B$],[$H$,60,$D$],[$I$,45,$E$,$ G$],[$J$,10,$F$],[$K$,15,$H$,$ I, J$],[,$Total $415,]]$

a$)$ What is the cycle time?

b$)$ What is the theoretical minimum number of workstations?

c$)$ Which work elements are assigned to each workstation?

d$)$ What are the resulting efficiency and balance delay percentages?

e$)$ Use the shortest work element rule to balance the assembly line. Do you note any changes in solution?