Problem $3$: Three Step Process

Consider a worker$-$paced line with three steps, each of which is staffed with one worker. The processing times are $3$ minutes per item for step $1,4$ minutes per item in step $2$ and $5$ minutes per item in step $3.$

$12.$

Question $12$

If the process is operated as a push system, what will happen to inventory?

Status: $[$object Object$]$

$2$ points

Inventory will pile up both before step $2$ and before step $3.$

Inventory will pile up before step $2$ but not before step $3.$

Inventory will pile up before step $3$ but not before step $2.$

Inventory will not pile up either before step $2,$ neither will it pile up before step $3.$