Consider a three$-$workstation flowline. The workstations each have an infinite buffer

and contain $1,4,$ and $2$ machines respectively. The process time of the machines in

workstation $1,2$ and $3$ is $0\mathrm{.}15,0\mathrm{.}8,$ and $0\mathrm{.}35$ hours respectively.

$($i$)$ Calculate the maximum throughput of the line.

$($ii$)$ Determine the flow time of a lot for release rates under the maximum throughput.

$($iii$)$ Determine the mean WIP$-$level in the line for the maximum throughput.