Problem $11-15($Algo$)$

The following represents a process used to assemble a chair with an upholstered seat. Stations A$,$ B$,$ and C make the seat; stations J$,$ K$,$ and L assemble the chair frame; station X is where the two subassemblies are brought together; and some final tasks are completed in stations Y and Z$.$ One worker is assigned to each of the stations. The line is paced using a countdown clock to synchronize production at each station. Generally, there is no inventory kept anywhere in the system, although there is room for one unit between each of the stations that might be used for a brief amount of time.

An illustration of the assembly of some blocks. The illustration consists of some small rectangular blocks labeled A$,$ B$,$ C$,$ L$,$ K$,$ J$,$ X$,$ Y$,$ and Z which are connected. The first path is: A B C X Y Z$.$ the second path is J K LX Y Z$.$

Given the following amount of work in seconds required at each station: