--- title: "EVA numerical with five activities at day 5" subject: "Construction Management" chapter: 7 key: "semester_8/construction_management:eva-numerical-2070-magh" source: https://www.bctengineer.com/q/semester_8/construction_management/eva-numerical-2070-magh site: BCT Engineering --- # EVA numerical with five activities at day 5 Construction Management · Chapter 7: Controlling Project Integration and Work - Asked in: 2070 Magh, 6 marks - Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14 - Page: https://www.bctengineer.com/q/semester_8/construction_management/eva-numerical-2070-magh - Whole chapter: https://www.bctengineer.com/md/semester_8/construction_management/chapter-7 ## Question Perform earned value analysis of a project with five activities as given below. Progress was evaluated at the end of 5th day. | Activity | Cost | Planned days (of 1 to 8) | |---|---|---| | A | 6,000 | 1-3 | | B | 15,000 | 2-5 | | C | 10,000 | 4-6 | | D | 4,000 | 7-8 | [Figure: bar chart with shaded cells showing the planned days; read from the scan, may be off by a day. Only four activities (A to D) appear in the printed table.] | At the end of 5th day | % Complete | Actual Cost | |---|---|---| | A | 100% | 7000 | | B | 55% | 7500 | | C | 40% | 3600 | | D | 0% | x | Also comment on the performances. ## Short answer PV = Rs 27,667; EV = Rs 18,250; AC = Rs 18,100; CV = +Rs 150; SV = −Rs 9,417; CPI = 1.01; SPI = 0.66; EAC ≈ Rs 34,712. Cost is slightly favorable but schedule is seriously behind; only 66% of planned work done. Acceleration is needed. ## Answer **Assumptions:** the cost of each activity is spread uniformly over its planned days (read from the bar chart). Review at the end of day 5. BAC = 6,000 + 15,000 + 10,000 + 4,000 = Rs 35,000. #### Planned value at end of day 5 | Activity | Cost | Planned days | Days planned done | PV | |---|---|---|---|---| | A | 6,000 | 1-3 (3 days) | 3 of 3 | 6,000 | | B | 15,000 | 2-5 (4 days) | 4 of 4 | 15,000 | | C | 10,000 | 4-6 (3 days) | 2 of 3 | 6,667 | | D | 4,000 | 7-8 | 0 | 0 | | **Total** | **35,000** | | | **27,667** | #### Earned value and actual cost | Activity | % | EV | AC | |---|---|---|---| | A | 100 | 6,000 | 7,000 | | B | 55 | 8,250 | 7,500 | | C | 40 | 4,000 | 3,600 | | D | 0 | 0 | 0 | | **Total** | | **18,250** | **18,100** | #### Results $$ \begin{aligned} CV &= EV - AC = 18{,}250 - 18{,}100 = +150 \\ SV &= EV - PV = 18{,}250 - 27{,}667 = -9{,}417 \\ CPI &= 18{,}250/18{,}100 = 1.008 \\ SPI &= 18{,}250/27{,}667 = 0.660 \\ EAC &= 35{,}000/1.008 = 34{,}712 \end{aligned} $$ **Answer:** PV = Rs 27,667; EV = Rs 18,250; AC = Rs 18,100; CV = +Rs 150; SV = −Rs 9,417; CPI = 1.01; SPI = 0.66. **Comment:** Cost performance is fine, with a small saving of Rs 150 and CPI slightly above 1 (on A the cost is over, but B and C are under). However, the project is seriously behind schedule: only 66% of the planned work is done. Activity B (55% against 100% planned) and C (40% against 67%) are late. Since the cost is under control but time is not, the management should add resources or crews to B and C, or the following activity D will be delayed and the project will finish late. ## Check yourself The answer's key points as multiple-choice questions, with the correct option and why. 1. Activity C costs 10,000 over days 4-6. Its PV at the end of day 5 is: A. 10,000 B. 6,667 C. 4,000 D. 3,600 Answer: B. Two of three days are planned done: 2/3 x 10,000 = 6,667. (Key point: PV of C) 2. Total EV from A (100%, 6,000), B (55%, 15,000) and C (40%, 10,000) is: A. 27,667 B. 18,250 C. 18,100 D. 31,000 Answer: B. 6,000 + 8,250 + 4,000 = 18,250. (Key point: Total EV) 3. With EV 18,250, AC 18,100 and PV 27,667, the project is: A. Over budget and ahead B. Slightly under budget (CV +150) but seriously behind schedule (SPI 0.66) C. On schedule D. Over budget and on schedule Answer: B. CV = +150, SV = -9,417, SPI = 0.66. (Key point: Cost vs schedule) 4. What action is suggested? A. Reduce crews B. Add resources to B and C or D will be delayed C. Stop the project D. Ignore the delay Answer: B. Schedule is the problem, so add crews on late activities B and C. 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