Question $3(8$ marks$)$

$\backslash$table$[[$Task$,$Immediate predecessor,Task time $($min$)],[1,-,0\mathrm{.}52],[2,1,0\mathrm{.}28],[3,2,0\mathrm{.}46],[4,1,0\mathrm{.}3],[5,4,0\mathrm{.}58],[6,3,5,0\mathrm{.}48],[7,6,0\mathrm{.}22],[8,7,0\mathrm{.}62],[9,6,0\mathrm{.}1],[10,6,0\mathrm{.}38],[11,10,0\mathrm{.}36],[12,8,9,11,0\mathrm{.}7]]$

Demand rate $=120,000$ units$/$year

Assembly operates for $50$ weeks$/$year$,6$ shifts$/$week$,$ and $8$ hours per shift.

i$.$ Draw a precedence diagram,

ii$.$ Design an assembly line,

iii. Find line efficiency

iv$.$ Total idle time in the assembly line