John "Big Heart" Philanthropist is planning a charity benefit gala for his "Support the Community" campaign. However, because one of his partners, Michael Anderson, has difficulty staying on task, the project has yet to start, and they are running out of time. John has used project management principles to lay out the task relationships, and he finds that if they follow the traditional schedule, as outlined below, they will not have enough time to get everything done before the weekend of the gala. John has created a list of tasks, their time requirements, their relationships, and their costs. He has also begun a network diagram but needs to know what to do next. He knows that he needs to reduce the total time by three weeks.

 

1. What is the slack time (in weeks) for activity D?
2. What is the latest start time (in weeks) for activity G?
3. What is the second activity that John should crash?
4. What is the minimum completion time for the project after crashing (i.e., until no more crashing is possible)?
5. What is the total cost if John reduces the original total project time by three weeks?

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Activity ABCDE FL G H I J Activity A B C D E F G H 1 J Description Determine gala theme Reserve portal location for gala Create Marketing Plan Ray Parker, Jr. to audition musical acts Determine ticket sales method Purchase supplies, including Stay Puff marshmallows Pick musical act and sign contract Sell tickets in person Sell tickets online Gala! Normal Duration (weeks) 7 5 7 6 6 7 4 4 5 1 J Duration after Crashing (weeks) 7 4 6 6 5 5 3 3 3 1 Preceding Activity(ies) A B B C D E E H, I, F, G Normal Crash Cost Cost $900 $3,020 $1,980 $1,500 $630 $1,030 $1,800 $2,500 $1,550 $1,850 $590 $1,210 $1,250 $2,800 0 $4,040 $2,960 Activity ABCDE FL G H I J Activity A B C D E F G H 1 J Description Determine gala theme Reserve portal location for gala Create Marketing Plan Ray Parker, Jr. to audition musical acts Determine ticket sales method Purchase supplies, including Stay Puff marshmallows Pick musical act and sign contract Sell tickets in person Sell tickets online Gala! Normal Duration (weeks) 7 5 7 6 6 7 4 4 5 1 J Duration after Crashing (weeks) 7 4 6 6 5 5 3 3 3 1 Preceding Activity(ies) A B B C D E E H, I, F, G Normal Crash Cost Cost $900 $3,020 $1,980 $1,500 $630 $1,030 $1,800 $2,500 $1,550 $1,850 $590 $1,210 $1,250 $2,800 0 $4,040 $2,960