A manual assembly line is to be designed to make a small consumer product. The work

elements, their times, and precedence constraints are given in the table below. The workers

will operate the line for $400$ min per day and must produce $300$ products per day. A

mechanized belt, moving at a speed of $1\mathrm{.}25$ m$/$min$,$ will transport the products between

stations. Because of the variability in the time required to perform the assembly operations,

it has been determined that the tolerance time should be $1\mathrm{.}5$ times the cycle time of the line.

$2\mathrm{.}1\mathrm{.}1$ Construct the precedence diagram

$2\mathrm{.}1\mathrm{.}2$ Determine the ideal minimum number of workers

$2\mathrm{.}1\mathrm{.}3$ Use the Largest Candidate Rule method to balance the line.

$2\mathrm{.}1\mathrm{.}4$ Compute the balance delay for your solution in $1\mathrm{.}1\mathrm{.}3.\backslash$table$[[$Element$,$Time $T_e,$Preceded by:$,$Element,Time $T_e,$Preceded by:$],[1,0\mathrm{.}4$min,$-,6,0\mathrm{.}2$min,$3],[2,0\mathrm{.}7$min,$1,7,0\mathrm{.}3$min,$4],[3,0\mathrm{.}5$min,$1,8,0\mathrm{.}9$min,$4,9],[4,0\mathrm{.}8$min,$2,9,0\mathrm{.}3$min,$5,6],[5,1\mathrm{.}0$min,$2,3,10,0\mathrm{.}5$min,$7,8]]$