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Using the Critical Path Method, if Activity A has an Early Start of day 5, a duration of 8 days, and the Late Finish is day 18, what is the total float for this activity?

Correct Answer

C) 5 days

Total float = Late Finish - Early Start - Duration = 18 - 5 - 8 = 5 days. This means Activity A can be delayed by up to 5 days without affecting the project completion date.

Answer Options
A
0 days
B
3 days
C
5 days
D
8 days

Why This Is the Correct Answer

CORRECT_ANSWER - Total float represents the amount of time an activity can be delayed without affecting the project's completion date. The formula is Total Float = Late Finish - Early Start - Duration. Substituting the given values: 18 - 5 - 8 = 5 days. This means Activity A has 5 days of scheduling flexibility before it impacts the critical path.

Why the Other Options Are Wrong

Option A: 0 days

0 days would indicate this activity is on the critical path with no scheduling flexibility, but the calculation shows 5 days of float available.

Option B: 3 days

3 days results from an incorrect calculation, possibly confusing Late Finish minus Late Start minus Duration, or making an arithmetic error in the formula.

Option D: 8 days

8 days incorrectly uses just the duration value, ignoring the relationship between Early Start and Late Finish times in the float calculation.

Memory Technique

Remember 'LES-D' (Less-D): Late finish minus Early Start minus Duration = Total Float. Think 'How much LESS time Do I need?' to remember the subtraction sequence.

Reference Hint

Look up 'Critical Path Method' or 'CPM Scheduling' in project management chapters, specifically sections on float calculations and activity scheduling.

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