--- title: "EVA numerical with bar schedule (A to F)" subject: "Construction Management" chapter: 7 key: "semester_8/construction_management:eva-numerical-2078-kartik" source: https://www.bctengineer.com/q/semester_8/construction_management/eva-numerical-2078-kartik site: BCT Engineering --- # EVA numerical with bar schedule (A to F) Construction Management · Chapter 7: Controlling Project Integration and Work - Asked in: 2078 Kartik, 7 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-2078-kartik - Whole chapter: https://www.bctengineer.com/md/semester_8/construction_management/chapter-7 ## Question Perform EVA and comment on the performance for the given project. | Activity | Cost (Rs.) | Planned days (of 1 to 7) | |---|---|---| | A | 5000 | 1-2 | | B | 10000 | 2-5 | | C | 15000 | 5-6 | | D | 7000 | 6-7 | | E | 6000 | 5-6 | | F | 2000 | 6-7 | [Figure: bar chart with shaded cells showing the planned days of each activity, as in the table; read from the scan, may be off by a day.] The progress was monitored and recorded at the end of 5th day. | Activity | % Completed | Expenditure (Rs) | |---|---|---| | A | 100 | 5000 | | B | 80 | 9000 | | C | 60 | 8000 | | D | 0 | X | | E | 30 | 3500 | | F | 0 | X | ## Short answer PV = Rs 25,500; EV = Rs 23,800; AC = Rs 25,500. CV = SV = −Rs 1,700, CPI = SPI = 0.93, EAC ≈ Rs 48,214. The project is over budget and behind schedule by work worth Rs 1,700; if trend continues, final cost will be about Rs 48,214, requiring corrective action. ## Answer **Assumptions:** the cost of each activity is spread uniformly over its planned (shaded) days, from day 1 to day 7. The review is at the end of day 5. Activities D and F have not started, so their actual cost ("X") is taken as zero. #### Planned value (PV) at end of day 5 | Activity | Cost (Rs) | Planned days | Days done by day 5 | PV (Rs) | |---|---|---|---|---| | A | 5,000 | 1-2 (2 days) | 2 of 2 | 5,000 | | B | 10,000 | 2-5 (4 days) | 4 of 4 | 10,000 | | C | 15,000 | 5-6 (2 days) | 1 of 2 | 7,500 | | D | 7,000 | 6-7 | 0 | 0 | | E | 6,000 | 5-6 (2 days) | 1 of 2 | 3,000 | | F | 2,000 | 6-7 | 0 | 0 | | **Total** | **45,000** | | | **25,500** | #### Earned value (EV) = % complete × budget | Activity | % done | Budget | EV (Rs) | AC (Rs) | |---|---|---|---|---| | A | 100 | 5,000 | 5,000 | 5,000 | | B | 80 | 10,000 | 8,000 | 9,000 | | C | 60 | 15,000 | 9,000 | 8,000 | | E | 30 | 6,000 | 1,800 | 3,500 | | **Total** | | | **23,800** | **25,500** | BAC = 5,000 + 10,000 + 15,000 + 7,000 + 6,000 + 2,000 = Rs 45,000. #### Variances and indices $$ \begin{aligned} CV &= EV - AC = 23{,}800 - 25{,}500 = -1{,}700 \\ SV &= EV - PV = 23{,}800 - 25{,}500 = -1{,}700 \\ CPI &= EV/AC = 23{,}800/25{,}500 = 0.933 \\ SPI &= EV/PV = 23{,}800/25{,}500 = 0.933 \\ EAC &= BAC/CPI = 45{,}000/0.9333 = 48{,}214 \\ VAC &= BAC - EAC = -3{,}214 \end{aligned} $$ **Answer:** PV = Rs 25,500; EV = Rs 23,800; AC = Rs 25,500; CV = −Rs 1,700; SV = −Rs 1,700; CPI = SPI = 0.93. **Comment:** The project is over budget by Rs 1,700 and behind schedule by work worth Rs 1,700 (about 7%). Activity E is the main problem (30% done but 58% of its budget spent); B is also overspent. If the same trend continues, the final cost will be about Rs 48,214, i.e. Rs 3,214 above the budget. Corrective action is needed: speed up activities B, C and E, control the cost of E, and re-plan D and F. ## Check yourself The answer's key points as multiple-choice questions, with the correct option and why. 1. How is the planned value of activity C (Rs 15,000, days 5-6) at end of day 5 found? A. Full cost 15,000 B. Cost spread uniformly over 2 days, 1 day done: 7,500 C. Zero D. 60% of 15,000 Answer: B. Cost is spread uniformly over planned days; one of two days is done by day 5, so 7,500. (Key point: PV method) 2. Earned value of activity B (budget 10,000, 80% complete) is: A. 9,000 B. 10,000 C. 8,000 D. 7,500 Answer: C. EV = % complete x budget = 0.8 x 10,000 = 8,000 (9,000 is the actual cost). (Key point: EV method) 3. With EV = 23,800, AC = 25,500 and PV = 25,500, CV and SV are: A. +1,700 each B. -1,700 each C. 0 and -1,700 D. -1,700 and +1,700 Answer: B. CV = EV - AC = -1,700 and SV = EV - PV = -1,700, so over budget and behind schedule. (Key point: Results) 4. Which activity is the main problem, and what is EAC? A. A; Rs 45,000 B. E (30% done but 58% of budget spent); about Rs 48,214 C. C; Rs 40,000 D. F; Rs 50,000 Answer: B. E spent 3,500 of 6,000 for 30% progress. EAC = 45,000/0.933, about 48,214. 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