--- title: "EVA; 450 cum brickwork canal" subject: "Project Engineering" chapter: 4 key: "semester_7/project_engineering:eva-numerical-brickwork-canal-b79" source: https://www.bctengineer.com/q/semester_7/project_engineering/eva-numerical-brickwork-canal-b79 site: BCT Engineering --- # EVA; 450 cum brickwork canal Project Engineering · Chapter 4: Project Implementation and Controlling - Asked in: 2079 Bhadra, 6 marks - Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14 - Page: https://www.bctengineer.com/q/semester_7/project_engineering/eva-numerical-brickwork-canal-b79 - Whole chapter: https://www.bctengineer.com/md/semester_7/project_engineering/chapter-4 ## Question Er. Jack has to complete 450 cum brickwork in canal construction in 40 days. According to the contract agreement, the cost per cum brickwork is Rs 16000. After the brickwork is started, the monitoring team visited the project in 20 days; they found that only 30% of the total cum brickwork is completed. The actual cost per cum expensed is Rs 16500. Based on the above statement, find Cost Variance, Schedule Variance, Cost Performance Index and Schedule Performance Index and analyse the situation of the project. ## Short answer BAC=Rs 72,00,000; PV=Rs 36,00,000 (225 cum), EV=Rs 21,60,000 (135 cum), AC=Rs 22,27,500. SPI=0.60, CPI=0.97; project behind schedule and slightly over budget, with serious schedule delay. ## Answer #### Given data - Quantity = 450 cum; rate = Rs 16,000 per cum, so $BAC = 450 \times 16{,}000 = 72{,}00{,}000$. - Duration = 40 days; status date = day 20; work completed = 30 % of 450 = 135 cum. - Actual rate = Rs 16,500 per cum. Planned work is assumed uniform with time. #### Calculation $$ \begin{aligned} PV &= \frac{20}{40} \times 72{,}00{,}000 = 36{,}00{,}000 \quad (225\ \text{cum planned}) \\ EV &= 0.30 \times 72{,}00{,}000 = 21{,}60{,}000 \quad (135\ \text{cum}) \\ AC &= 135 \times 16{,}500 = 22{,}27{,}500 \end{aligned} $$ $$ \begin{aligned} SV &= EV - PV = 21{,}60{,}000 - 36{,}00{,}000 = -14{,}40{,}000 \\ CV &= EV - AC = 21{,}60{,}000 - 22{,}27{,}500 = -67{,}500 \\ SPI &= \frac{EV}{PV} = \frac{21{,}60{,}000}{36{,}00{,}000} = 0.60 \\ CPI &= \frac{EV}{AC} = \frac{21{,}60{,}000}{22{,}27{,}500} = 0.97 \\ EAC &= \frac{BAC}{CPI} = \frac{72{,}00{,}000}{0.9697} = 74{,}25{,}000 \\ ETC &= EAC - AC = 74{,}25{,}000 - 22{,}27{,}500 = 51{,}97{,}500 \\ VAC &= BAC - EAC = 72{,}00{,}000 - 74{,}25{,}000 = -2{,}25{,}000 \\ \text{Forecast duration} &= \frac{40}{SPI} = \frac{40}{0.6000} = 66.7\ \text{days} \end{aligned} $$ #### Analysis of the situation - **Schedule:** SV = -14,40,000 and SPI = 0.60, so the project is **behind schedule**; only 60 % of the planned work is done. If the same rate continues, the duration becomes 66.7 days against 40 days planned. - **Cost:** CV = -67,500 and CPI = 0.97, so the project is **over budget**; each rupee spent has earned Rs 0.97 of work. - **Forecast:** EAC = Rs 74,25,000 against BAC = Rs 72,00,000, i.e. a final overrun of Rs 2,25,000. The cost overrun is small (CPI close to 1), but the schedule delay is serious: only 135 cum is done against 225 cum planned (SPI = 0.60), and the job needs about 67 days at the present rate. Er. Jack should add masons, arrange materials and curing in advance, and work extra shifts to recover the 90 cum backlog, while bringing the actual rate of Rs 16,500 per cum back towards the contract rate of Rs 16,000. **Answer: CV = Rs -67,500, SV = Rs -14,40,000, CPI = 0.97, SPI = 0.60; the project is behind schedule and slightly over budget.** ## Check yourself The answer's key points as multiple-choice questions, with the correct option and why. 1. 450 cum at Rs 16,000 per cum gives BAC of: A. Rs 72,00,000 B. Rs 7,20,000 C. Rs 74,25,000 D. Rs 21,60,000 Answer: A. BAC = 450 x 16,000 = 72,00,000. (Key point: BAC) 2. 30% of the work is done and the actual rate is Rs 16,500 per cum. EV and AC are: A. EV = 22,27,500, AC = 21,60,000 B. EV = 36,00,000, AC = 22,27,500 C. EV = 21,60,000, AC = 21,60,000 D. EV = 21,60,000, AC = 22,27,500 Answer: D. EV = 0.3 x 72,00,000 = 21,60,000 (135 cum at budget rate); AC = 135 x 16,500 = 22,27,500. (Key point: EV and AC) 3. At day 20 of 40, PV = 36,00,000. SPI is: A. 0.97 B. 0.60 C. 1.67 D. 0.30 Answer: B. SPI = 21,60,000/36,00,000 = 0.60. (Key point: SPI) 4. With CPI = 0.97 and SPI = 0.60, the main problem is: A. A serious cost overrun with little delay B. A large saving C. A serious schedule delay with only a small cost overrun D. No problem at all Answer: C. CPI is close to 1 (overrun Rs 2,25,000 at completion), but SPI 0.60 means a big delay (about 66.7 days instead of 40). 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