Project_Management_In-Class_Problems

Project_Management_In-Class_Problems - “ 4 “ $200...

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Project Management Problems 1. A small pilot study involves the following tasks: Activity Predecessor Duration A – Prepare questionnaire - 5 days B – Collect data A 6 " C – Hire staff A 5 " D – Analyze data B 12 " E – Implement results C, D 4 " Find the critical path and the project duration. 2. Suppose the above project is augmented by an activity F (Purchase software). Task F has no predecessors, but is itself a predecessor to task B. The duration of task F is 7 days. Find the critical path and the project duration. 3. A project is comprised of 8 tasks. Task times are uncertain; consequently, 3 time estimates are provided for each task. Durations (days) . Task Predecessor Optimistic Most Likely Pessimistic A - 1 4 7 B - 4 7 16 C A 5 8 11 D B 1 7 13 E C, D 3 6 9 F C, D 2 5 8 G E 4 7 16 H F 6 12 24 Find the critical path and the mean project duration. 4. A project involves the following activities: Activity Predecessor Normal (Min.) Crash Cost of Duration Duration Crashing/day A - 4 days 3 days $100 B - 7 4 $300 C A 2 1 $400 D B, C
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Unformatted text preview: “ 4 “ $200 Suppose the benefit arising from reducing the project duration is $500/day. Which tasks should be crashed, and by how much? What is the total net benefit? 5. The budgeted costs for a project are as given below: Task Predecessor Duration Budgeted Costs A-2 weeks $10,000 B-3 “ $30,000 C A 1 “ $3,000 D B 3 “ $6,000 E B 2 “ $20,000 F C, D 2 “ $10,000 G E 1 “ $8,000 Develop a weekly budget for the project. 6. The above project is monitored at the end of 4 weeks for cost control purposes. Assume task A is delayed by 1 week; also, it is now estimated that task C will require a total of 2 weeks. All other tasks are on schedule. Actual expenses to date are shown below. Task Actual Expense A $12,000 B $30,000 C $1,000 D $2,000 E $11,000 F-G-Find the % complete for each task. Establish the budget variance for each task and for the entire project....
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