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Jim Teacher was able to get some estimating information from the president of another fraternity that had planned and carried out a similar party for graduating seniors last year. They had not kept financial information, but they did have the actual hours that it took to $|$ complete each activity. From these data, Jim obtained the following time estimates for Delta Mu Zeta.

Activity $($days$)$ Time Estimate Pick date $1$ Plan menu $2$ Get food delivered $1$ Estimate costs Locate and book a hall Determine budget

Select music $2$ Select and hire a DJ Plan decorations

Setup, decorate hall $1$ Dress rehearsal $($day before party$)$ "dummy activity"

Determine how much can be paid from treasury and what the cost of the special assessment will be for each member $1$ Design and print invitations Set up mailing list

Mail invitations $1$ Plan ceremony for seniors $2$ Rehearse ceremony $1$ Plan after$-$party cleanup and bill$-$paying $2$ Have the party $1$ Cleanup and pay bills $1$

a You are Joe, the project manager. Use the interrelationship digraph developed in previous problem to draw an arrow diagram, making sure that activities are sequenced in the corect order.

b$.$ Ifyou are familiar with PERT$/$CPM through other courses, use the data above to calculate the minimum time that the project will take; that is$,$ compute the critical path.

And create diagram.

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