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 $3.$

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

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

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

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

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

If the process is operated as a push system, what is true about the utilization of the workers in

steps $1,2$ and $3?$

Utilization of worker $1$ Utilization of worker $2$ Utilization of worker $3$

Utilization of worker $1=$ Utilization of worker $2=$ Utilization of worker $3$

Utilization of worker $1>$ Utilization of worker $2>$ Utilization of worker $3$

If the process is operated as a pull system, at what rate does the process produce?

At the rate marked by the capacity of worker $3$

At the rate marked by the capacity of worker $2$

At the rate marked by the capacity of worker $1$

If the process is operated as a pull system, what is true about the utilization of the workers in

steps $1,2$ and $3?$

Utilization of worker $1$ Utilization of worker $2$ Utilization of worker $3$

Utilization of worker $1>$ Utilization of worker $2>$ Utilization of worker $3$

Utilization of worker $1=$ Utilization of worker $2=$ Utilization of worker $3$

$3$ extra credit

points