Line Balancing Example

In this example, the target is to produce $500$ units per day within an $8$ hour shift. A new line has $12$ required steps to complete the assembly of the product. The steps have been labelled $A-L$ and each have a unique cycle time associated to that specific task. Calculate the number of stations required and assign tasks to these stations.

$\backslash$table$[[$Task$,$Task Time $($Seconds$),$Precedence$],[$A$,15,],[$B$,23,$A$],[$C$,17,$B$],[$D$,42,$B$],[$E$,15,$B$],[$F$,37,$C$],[$G$,5,$D$,$ E$],[$H$,12,$F$,$G$],[$I$,34,$H$],[$J$,27,$H$],[$K$,18,$I,J$],[$L$,7,$K$],[$Total Time,$252,]]$