Problem $2$

The table below indicates the precedence and processing time to assemble a laptop computer. As an Industrial Engineer, you must design a line that produces $125$ products in a $50-$hour shift. Using the given information and the method we learned in class, answer the following questions:

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|\}$

$\backslash$hline Work element & Precedence & Time $($in minutes$)\backslash \backslash$

$\backslash$hline A & $-$ & $\backslash (\backslash$mathbf$\{8\}\backslash )\backslash \backslash$

$\backslash$hline B & A & $5\backslash \backslash$

$\backslash$hline C & $-$ & $6\backslash \backslash$

$\backslash$hline D & B$,$ C & $10\backslash \backslash$

$\backslash$hline E & D & $2\backslash \backslash$

$\backslash$hline F & $-$ & $4\backslash \backslash$

$\backslash$hline G & $-$ & $5\backslash \backslash$

$\backslash$hline H & F$,$ E$,$ G & $7\backslash \backslash$

$\backslash$hline I & H & $2\backslash \backslash$

$\backslash$hline K & H & $9\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$($a$)$ Draw the precedence diagram.

$($b$)$ Draw a balanced line, including work elements in each workstation and the processing time of each workstation. Use ranked positional weights.

$($c$)$ Calculate the cycle time of the balanced line obtained in $($b$).$

$($d$)$ Calculate the delay of the balanced line obtained in $($b$).$