Challenge $1$: Workstations and Cycle Times $(15$ Points$)$

Based on the precedence diagram below, please design a production line that $1)$ balances the workload; $2)$ increases the production efficiency. $1\mathrm{.}1.$ Please draw rectangular shapes to group tasks that belong to one workstation. You can draw directly on the diagram.

$1\mathrm{.}2.$ Based on your grouping above, please list work elements for each workstation.

$\backslash$table$[[$Work Station #$1,$Work Station #$2,$Work Station #$3,$Work Station #$4],[,,,],[,,,],[,,,]]$

$1\mathrm{.}3.$ Based on your grouping above and the cycle time of $72$ seconds, what is the sum of task time for the line you have created?

$1\mathrm{.}4.$ Based on your grouping above and the cycle time of $72$ seconds, what is the total amount of idle time in this production line you have created?

$1\mathrm{.}5.$ Based on your grouping above and the cycle time of $72$ seconds, what is the efficiency of this production line you have created?

$1\mathrm{.}6.$ What is the effective cycle time of the production line you have created?