Problem $2$

Consider a four$-$station $($Stations $1-4)$ line in which each station consists of one single

machine. Station $2$ has an average processing time of $2$ hours per job, while the

remaining stations have average processing times of $1$ hour per job. Answer the

following, under the assumption that process times are deterministic $($as in the best

case$).$

$($a$)$ What are rb and T$0$ for this line?

$($b$)$ In Part $($a$),$ how do rb and T$0$ change if a second identical machine is added to Station

$2?$

$($c$)$ In Part $($a$),$ how do rb and T$0$ change if the machine at Station $2$ is speeded up to have

an average processing time of $1$ hour?

$($d$)$ In Part $($a$),$ how do rb and T$0$ change if a second, identical machine is added to Station

$1?$

$($e$)$ In Part $($a$),$ how do rb and T$0$ change if the machine at Station $1$ is speeded up to have

an average processing time of $(1)/(2)$ hour?