VA manager wants to assign tasks to workstations to achieve an hourly output rate of $36$ units. Assume that the shop works $60$ minutes per hour $($i$.$e$.,$ no breaks$).$

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a$.$ Assign the tasks shown in the above precedence network $($times are on the nodes and are in minutes$)$ to workstations using the following heuristic rules: $($i$)$Assign the task with the most followers.$($ii$)$ Tiebreaker: $$Assign the task with the longest time.$($Round the intermediate calculations and final answers to $2$ decimal places.$)$

Workstations Task Idle Time

$1$

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$2$

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$3$

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$4$

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b$.$ What is the efficiency? $($Round the intermediate calculations to $2$ decimal places. Round the final answer to $1$ decimal place.$)$

Efficiency

$\%$

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