Item$3$

$1\mathrm{.}5$

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Problem $6-2($Algo$)$

A manager wants to assign tasks to workstations as efficiently as possible and achieve an hourly output of $30$ units. Assume the shop works a $56-$minute hour. Assign the tasks shown in the accompanying precedence diagram $($times are in minutes$)$ to workstations using the following rules:

a$.$ What is Cycle time? $($Round your answer to $1$ decimal place.$)$

In order of most following tasks. Tiebreaker: greatest positional weight. $($Use your rounded cycle time. Enter your tasks in the order they were assigned at each station as a letter between a and h in lowercase with no other text or symbols. Round your numerical answers to $1$ decimal place.$)$