--- title: "EVA; plantation 50 units, 3 weeks, Rs 2500" subject: "Project Engineering" chapter: 4 key: "semester_7/project_engineering:eva-plantation-3-weeks-2500-a76" source: https://www.bctengineer.com/q/semester_7/project_engineering/eva-plantation-3-weeks-2500-a76 site: BCT Engineering --- # EVA; plantation 50 units, 3 weeks, Rs 2500 Project Engineering · Chapter 4: Project Implementation and Controlling - Asked in: 2076 Asoj, 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-plantation-3-weeks-2500-a76 - Whole chapter: https://www.bctengineer.com/md/semester_7/project_engineering/chapter-4 ## Question 50 units of plantation have to be done in 3 weeks. The per unit cost of plantation is estimated as Rs 2500, of which progress monitoring was done 1 week after the work started. Only 20 units of plantation were found completed and the account record showed that the actual expenditure per unit was Rs 2500. Perform EVA and comment on the performance. ## Short answer BAC Rs 1,25,000; at week 1, PV = (1/3)×BAC = Rs 41,666.67, EV from 20 units = Rs 50,000, AC = Rs 50,000. SV = +Rs 8,333.33, CV = 0, SPI = 1.20, CPI = 1.00. Project ahead of schedule and on budget. ## Answer Earned value analysis (EVA) compares the planned value, earned value and actual cost to measure schedule and cost performance. Planned progress is taken as uniform over the 3 weeks. #### Data - Total work = 50 units, rate = Rs 2,500/unit, duration = 3 weeks - Budget at completion, BAC = 50 x 2,500 = Rs 1,25,000 - Monitoring at the end of week 1: completed = 20 units; actual cost = 20 x 2,500 = Rs 50,000 $$ \begin{aligned} PV &= \frac{1}{3} \times 1{,}25{,}000 = 41{,}666.67\ \text{(planned work = 16.67 units)}\\ EV &= 20 \times 2{,}500 = 50{,}000\\ AC &= 20 \times 2{,}500 = 50{,}000 \end{aligned} $$ #### Calculation $$ \begin{aligned} SV &= EV - PV = 50{,}000 - 41{,}666.67 = 8{,}333.33\\ CV &= EV - AC = 50{,}000 - 50{,}000 = 0\\ SPI &= EV/PV = 50{,}000/41{,}666.67 = 1.20\\ CPI &= EV/AC = 50{,}000/50{,}000 = 1.00\\ EAC &= BAC/CPI = 1{,}25{,}000/1.00 = 1{,}25{,}000\\ ETC &= EAC - AC = 1{,}25{,}000 - 50{,}000 = 75{,}000\\ VAC &= BAC - EAC = 0\\ \text{Forecast duration} &= 3/SPI = 3/1.20 = 2.5\ \text{weeks} \end{aligned} $$ #### Comment - **Schedule:** SV is positive and SPI = 1.20, so the project is **ahead of schedule**. The work done is 120 % of the planned work (20 units against 16.67 units planned). At this rate the work will take about 2.5 weeks instead of the planned 3 weeks. - **Cost:** CV is zero and CPI = 1.00, so the project is **on budget**. Each Rs 1 spent gives Rs 1.00 of work; the unit cost is exactly as estimated. - **Forecast:** if the present cost trend continues, the final cost will be Rs 1,25,000, equal to the budget (variance at completion = 0). Both schedule and cost are favourable. Controlling statements: continue the present method, maintain productivity, keep records, and watch for later risks. **Answer: SV = Rs 8,333.33, CV = 0, SPI = 1.20, CPI = 1.00; the project is ahead of schedule and on budget.** ## Check yourself The answer's key points as multiple-choice questions, with the correct option and why. 1. 50 units at Rs 2,500 in 3 weeks; PV after week 1 (uniform plan) is: A. Rs 50,000 B. Rs 41,667 C. Rs 62,500 D. Rs 1,25,000 Answer: B. BAC = 1,25,000; PV = 1/3 x 1,25,000 = 41,666.67 (16.67 units planned). (Key point: BAC and PV) 2. 20 units are complete at Rs 2,500 per unit actual cost. EV and AC are: A. EV = 41,667, AC = 50,000 B. EV = 50,000, AC = 41,667 C. EV = 50,000, AC = 50,000 D. EV = 1,25,000, AC = 50,000 Answer: C. EV = 20 x 2,500 = 50,000 and AC = 20 x 2,500 = 50,000. (Key point: EV and AC) 3. SPI = 1.2 and CPI = 1.0 mean: A. Behind schedule, on budget B. Ahead of schedule, over budget C. Ahead of schedule, under budget D. Ahead of schedule, on budget Answer: D. SPI > 1 means ahead; CPI = 1 means cost equals the value earned, so on budget. (Key point: Reading SPI and CPI) 4. With CPI = 1, the forecast EAC and VAC are: A. EAC = 1,25,000, VAC = 0 B. EAC = 1,50,000, VAC = -25,000 C. EAC = 1,00,000, VAC = 25,000 D. EAC = 50,000, VAC = 75,000 Answer: A. EAC = BAC/1 = 1,25,000, so VAC = 0; the duration is about 2.5 weeks (3/1.2). (Key point: Forecast) ## Close variants set in other exams - [EVA; plantation 50 units, 4 weeks, Rs 200](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeva-plantation-4-weeks-200-c74) — Project Engineering, chapter 4, asked 2× ## Related in Project Engineering - [EVA; 60 days, 25% work, 50% budget spent](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeva-numerical-60-days-half-budget) — Project Engineering, chapter 4