QUESTION $2$

$2\mathrm{.}1$ An assembly line whose activities are shown in the table below has a demand of $45$ units per day. The assembly line is in operation $9$ hours a day.

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$predecessor$/$s$]],\backslash$table$[[$Performance$],[$Time $($minutes$)]]],[$A$,$None,$5],[$B$,$A$,3],[$C$,$A$,4],[$D$,$A$,5],[$E$,$B$,$C$,3],[$F$,$B$,6],[$G$,$D$,$E$,$F$,3],[$H$,$F$,$G$,7],[$I$,$H$,4],[$J$,$H$,$ I,$5]]$

$2\mathrm{.}1\mathrm{.}1$ Draw the precedence diagram for this assembly line.

$(4)$

$2\mathrm{.}1\mathrm{.}2$ Calculate the minimum number of workstations required for this assembly line.

$(4)$

$2\mathrm{.}1\mathrm{.}3$ Assign the assembly activities to workstations. Show full calculations including the cumulative workstation times and the unassigned workstation times.

$(8)$

$2\mathrm{.}1\mathrm{.}4$ Calculate the efficiency of the assembly line in $2\mathrm{.}1\mathrm{.}3.$

$(2)$

$[$TURN OVER$]$