In a CPM schedule, if Activity X has an Early Start of day 10, duration of 4 days, and total float of 2 days, what is its Late Finish?
Correct Answer
A) Day 16
Early Finish = Early Start + Duration = 10 + 4 = 14. Late Finish = Early Finish + Total Float = 14 + 2 = 16.
Why This Is the Correct Answer
To find Late Finish in CPM scheduling, you must first calculate the Early Finish by adding duration to Early Start (10 + 4 = 14). Then, Late Finish is calculated by adding the total float to the Early Finish (14 + 2 = 16). This represents the latest day the activity can finish without delaying the project, accounting for the available float time.
Why the Other Options Are Wrong
Option B: Day 14
Day 14 is the Early Finish, not the Late Finish. This answer fails to account for the 2 days of total float that allows the activity to finish later without impacting the critical path.
Option D: Day 18
Day 20 appears to double-count the float or use an incorrect calculation method. This significantly overestimates when the activity can finish.
Memory Technique
Remember 'ELF': Early finish + Late float = Late Finish. The float gives you extra time beyond when you could finish early.
Reference Hint
Look up CPM (Critical Path Method) scheduling formulas in the Project Management or Construction Scheduling chapter of your reference manual
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