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Process — Managing Technical AspectshardMultiple ChoiceObjective-mapped

PMP Process — Managing Technical Aspects Practice Question

A project manager is managing a construction project and notices that the actual cost for concrete work is consistently 15% above budget. The earned value (EV) is $100,000, and the actual cost (AC) is $115,000. The project manager wants to estimate the cost at completion (EAC) if this trend continues. Which formula should the project manager use?

⚠ Common exam trap

Test-takers frequently confuse the 'typical' (EAC = BAC / CPI) and 'atypical' (EAC = AC + (BAC - EV)) formulas, selecting Option B when the question explicitly states the trend will continue, which requires the typical formula.

Answer choices

Why each option matters

Answer the question above first, then reveal the full breakdown to understand why each option is right or wrong.

Correct answer & explanation

EAC = BAC / CPI

The question states the cost overrun trend (15% above budget) is expected to continue. The formula EAC = BAC / CPI is the appropriate 'typical' estimate at completion when current cost performance is projected to persist. With EV = $100,000 and AC = $115,000, the CPI is 0.87, and dividing the BAC by this CPI yields the forecasted total cost assuming the same efficiency.

Answer analysis

Option-by-option breakdown

For each option: why learners choose it and why it is or isn't the right answer here.

  • EAC = AC + Bottom-up ETC

    Why it's wrong here

    This formula is employed when the original budget is deemed unreliable for forecasting future costs, necessitating a fresh, detailed re-estimation of the remaining work (ETC). It implies that past cost performance is not a reliable indicator of future performance, and a bottom-up approach provides a more accurate forecast. This is typically used after significant scope changes or unforeseen events invalidate the original cost baseline, requiring a complete re-evaluation of the work yet to be done.

  • EAC = AC + (BAC - EV)

    Why it's wrong here

    This formula assumes that all future work will be completed precisely at the planned rate, effectively disregarding any cost variances incurred to date. It projects that the remaining budget (BAC - EV) is sufficient to complete the remaining scope, implying that past cost overruns or underruns were anomalies and will not continue. This is inappropriate when a consistent cost overrun trend is observed, as it fails to incorporate the established inefficiency into the final cost projection.

  • EAC = BAC / CPI

    Why this is correct

    This formula is the most appropriate choice when the project's current cost performance trend is expected to continue for the duration of the project. By dividing the Budget At Completion (BAC) by the Cost Performance Index (CPI), it extrapolates the historical cost efficiency or inefficiency across the entire project scope. Given a consistent 15% overrun, this formula accurately projects the final cost by assuming the established cost trend will persist, providing a realistic forecast.

  • EAC = BAC / (CPI * SPI)

    Why it's wrong here

    This formula integrates both cost and schedule performance indices, assuming that schedule variances will impact the cost of completing the remaining work. It is typically used when the project manager believes that schedule delays or accelerations have a direct cost implication that must be factored into the final estimate. However, since the question specifically highlights a consistent cost overrun without indicating any schedule performance issues, incorporating SPI would introduce an unwarranted assumption and potentially distort the EAC.

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Written by Johnson Ajibi, MSc IT Security

Senior Network & Security Engineer · founder of Courseiva

This PMP practice question is part of Courseiva's free PMI certification practice question bank. Courseiva provides original exam-style practice questions with explanations, topic-based practice, mock exams, readiness tracking, and study analytics to help learners prepare for the PMP exam.