These are the activities on the critical path:
Answer(s): C
Critical Path Identification:The critical path is the longest sequence of activities that determines the project’s minimum duration.Path: A →B →G →H.Exclusion of Other Options:Paths involving F, J, or non-critical activities do not align with the longest duration.Verification with PSP Guidelines: The PSP Study Guide emphasizes identifying the critical path for schedule optimization (Ref: PSP Study Guide, Chapter 2A: Critical Path Analysis)
The activity with the most total float is:
Understand Total Float: Total float is the amount of time an activity can be delayed without affecting the project completion date.Review the Network Diagram and Logic:Activity F is not on the critical path, which allows for flexibility.Analyzing the paths and slack in the diagram confirms that Activity F has the most total float.Cross-Verification:Option A: Incorrect. Activity I is on the critical path with no float.Option B: Incorrect. Activity C is not the most flexible.Option D: Incorrect. Activity D has limited slack.Option C: Correct. Activity F has the maximum total float.
What is the free float for Activity F?
Answer(s): B
Understand Free Float: Free float is the time an activity can be delayed without delaying the start of its immediate successor.Review Activity F in the Diagram:Activity F has a successor that starts later, providing room for 2 months of free float.Cross-Verification:Option A: Incorrect. Overestimates the float.Option B: Incorrect. No float is incorrect for F.Option C: Incorrect. 1 month is insufficient.Option D: Correct. Matches the calculated free float for Activity F.
If Activity E's duration changes to 4 months, what is the overall duration of the project.
Answer(s): A
Impact of Changing Activity E's Duration:Activity E's new duration = 4 months.The critical path passes through Activities A →C →D →E →H →I.Recalculate Project Duration:Original duration with E = 3 months: 19 months.Increasing E to 4 months does not impact the overall path since it remains within the critical path's time allowance.Overall project duration remains 19 months.Cross-Verification:Option B: Incorrect. Assumes additional delays.Option C: Incorrect. Overestimates delays.Option D: Incorrect. Miscalculates path changes.Option A: Correct. Matches revised critical path duration.
PSP Study Guide (2019), Sections on Critical Path and Float Calculations.AACE Recommended Practices, RP 10S-90.
How many work days does it take to move the product from testing to sale?
Understanding the Timeline:The total time from testing (Activity A) to the release of the product (Activity H) involves sequential tasks.Calculate the durations of the critical path:Activity A: 30 daysActivity B: 0 daysActivity D: 60 daysActivity F: 20 daysActivity G: 10 daysSumming Durations:Total duration = 30 + 0 + 60 + 20 + 10 = 100 days.Verification with PSP Guidelines: The PSP Study Guide emphasizes critical path analysis for determining the project timeline (Ref: PSP Study Guide, Chapter 2A: Critical Path Method).
How much Total Float does drafting the product manual have?
Total Float Analysis:Total float = Late Finish (LF) - Early Finish (EF) or Late Start (LS) - Early Start (ES).Activity C (Draft Product Manual) lies on the critical path, so its float is 0.Verification with PSP Guidelines: The PSP Study Guide defines total float as the amount of time an activity can be delayed without delaying the project (Ref: PSP Study Guide, Chapter 2A: Float Analysis).
If drafting of the product manual overruns its planned duration by 5 days, how many days may the manufacturing be delayed without affecting release of the product?
Impact of Overrun:Drafting (Activity C) and manufacturing (Activity D) are critical path activities.A 5-day overrun in drafting consumes all available time for manufacturing.Therefore, manufacturing cannot be delayed without affecting the release of the product.Verification with PSP Guidelines: The PSP Study Guide specifies that critical path activities have zero float, so delays propagate directly to the project finish (Ref: PSP Study Guide, Chapter 2A: Critical Path and Float).
Management has determined the need to release the product 20 days earlier than planned.What tasks need to be expedited?
Answer(s): D
Requirement to Expedite:To release the product 20 days earlier, critical path activities must be expedited.Critical path activities: A (Testing), D (Manufacturing), G (Packaging).Excluded Activities:Activities like drafting (Activity C) or proofing (Activity F) are not critical and do not impact the total project duration.Verification with PSP Guidelines:PSP guidelines emphasize expediting critical path tasks for schedule acceleration (Ref: PSP Study Guide, Chapter 2B: Schedule Compression Techniques).
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