Item$1$

$12\mathrm{.}5$

points

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Problem $6-3($Static$)$

A manager wants to assign tasks to workstations as efficiently as possible, and achieve an hourly output of $4$ units. The department uses a working time of $56$ minutes per hour. Assign the tasks shown in the accompanying precedence diagram $($times are in minutes$)$ to workstations using the following rules:

A pathway is shown from circle a through l through different ways. Circle a$,3,$ leads to circle b$,2,$ which in turn leads to circle c$,4.$ Circle f$,5,$ leads to circle g$,6.$ Circle d$,7$ and circle g$,6$ lead to circle e$,4.$ Circle c$,4$ and circle e$,4$ lead to circle h$,9,$ which in turn leads to circle i$,5.$

In order of most following tasks. Tiebreaker: greatest positional weight.

In order of greatest positional weight. Tiebreaker: most following tasks.