Let E be task duration, ES and EF the earliest start/finish times, and LS and LF the latest start/finish times; which mathematical relation always holds true______________________?
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Answer: E. all of the above
Explanation
All standard network scheduling formulas connecting task duration, start times, and finish times are mathematically valid. Earliest finish equals earliest start plus duration, and latest start equals latest finish minus duration. Subtracting earliest start from earliest finish correctly yields the exact task duration value. Critical Path Method calculations require forward and backward passes to determine project schedule float times. Network equations maintain logical consistency between task start times, finish times, and elapsed durations. Project scheduling software automatically verifies these fundamental mathematical relationships for every network task.
Project managers rely on these exact formulas to compute critical paths and float times in construction projects. Accurate time calculations ensure that project deadlines and resource allocations are managed effectively. Network scheduling software validates input data using these exact algebraic equations to prevent errors. Listing only one correct formula is incorrect because all listed mathematical relations hold true simultaneously. Partial selections ignore the fact that every provided equation represents a valid network scheduling identity. None of the above is wrong because multiple options correctly state fundamental CPM calculation formulas.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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