Question $2$

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 $(10)$

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

$2\mathrm{.}1\mathrm{.}3$ Use the Largest Candidate Rule method to balance the line. $(10)$

$2\mathrm{.}1\mathrm{.}4$ Compute the balance delay for your solution in $1\mathrm{.}1\mathrm{.}3.$