--- title: "EVA; plantation 50 units, 4 weeks, Rs 200" subject: "Project Engineering" chapter: 4 key: "semester_7/project_engineering:eva-plantation-4-weeks-200-c74" source: https://www.bctengineer.com/q/semester_7/project_engineering/eva-plantation-4-weeks-200-c74 site: BCT Engineering --- # EVA; plantation 50 units, 4 weeks, Rs 200 Project Engineering · Chapter 4: Project Implementation and Controlling - Asked in: 2074 Chaitra, 8 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-4-weeks-200-c74 - Whole chapter: https://www.bctengineer.com/md/semester_7/project_engineering/chapter-4 ## Question 50 units of plantation have to be done in a 4 week period. The per unit cost of plantation is estimated as Rs 200, of which progress monitoring was done 3 weeks after the work was started. Only 60% work was found completed and the account record showed that the actual expenditure for plantation per unit was Rs 300. Perform EVA and comment on the work. ## Short answer BAC Rs 10,000; at week 3, PV = (3/4)×BAC = Rs 7,500, EV = 60% × BAC = Rs 6,000, AC = 30 units × Rs 300 = Rs 9,000. SV = –Rs 1,500, CV = –Rs 3,000, SPI = 0.80, CPI = 0.667, EAC = Rs 15,000. Project behind schedule and over budget. ## Answer #### Data - Work = 50 units at Rs 200/unit in 4 weeks, so BAC = 50 x 200 = Rs 10,000 - Monitoring after 3 weeks: progress = 60 % (30 units); actual rate = Rs 300/unit - Planned progress after 3 weeks = 3/4 = 75 % (uniform progress assumed) $$ \begin{aligned} PV &= 0.75 \times 10{,}000 = 7{,}500\\ EV &= 0.60 \times 10{,}000 = 6{,}000\\ AC &= 30 \times 300 = 9{,}000 \end{aligned} $$ #### Calculation $$ \begin{aligned} SV &= EV - PV = 6{,}000 - 7{,}500 = -1{,}500\\ CV &= EV - AC = 6{,}000 - 9{,}000 = -3{,}000\\ SPI &= EV/PV = 6{,}000/7{,}500 = 0.80\\ CPI &= EV/AC = 6{,}000/9{,}000 = 0.667\\ EAC &= BAC/CPI = 10{,}000/0.667 = 15{,}000\\ ETC &= EAC - AC = 15{,}000 - 9{,}000 = 6{,}000\\ VAC &= BAC - EAC = 10{,}000 - 15{,}000 = -5{,}000\\ \text{Forecast duration} &= 4/SPI = 4/0.80 = 5\ \text{weeks} \end{aligned} $$ #### Comment - **Schedule:** SV is negative and SPI = 0.80, so the project is **behind schedule**. Only 80 % of the planned work is done. At this rate the work will take about 5 weeks instead of the planned 4 weeks (1 week late). - **Cost:** CV is negative and CPI = 0.667, so the project is **over budget**. Each Rs 1 spent gives only Rs 0.67 of work. - **Forecast:** if the present cost trend continues, the final cost will be Rs 15,000 against the budget of Rs 10,000 (variance at completion = -Rs 5,000). **Answer: SV = -Rs 1,500, CV = -Rs 3,000, SPI = 0.80, CPI = 0.667; the project is behind schedule and over budget.** Both schedule and cost are unfavourable. Controlling statements: increase productive resources (labour, equipment, extra shifts), improve supervision and productivity, review rates and wastage, re-sequence activities, and revise the plan or budget with the client's approval. The work is both late and costly: only 60 % is done against 75 % planned, and the unit cost is 50 % above the estimate (Rs 300 against Rs 200). ## Check yourself The answer's key points as multiple-choice questions, with the correct option and why. 1. 50 units at Rs 200 in 4 weeks; PV after 3 weeks (uniform) is: A. Rs 6,000 B. Rs 9,000 C. Rs 7,500 D. Rs 10,000 Answer: C. BAC = 10,000; planned progress 3/4 = 75%, so PV = 7,500. (Key point: BAC and PV) 2. 60% complete (30 units) at actual Rs 300 per unit gives: A. EV = 6,000, AC = 9,000 B. EV = 9,000, AC = 6,000 C. EV = 6,000, AC = 6,000 D. EV = 7,500, AC = 9,000 Answer: A. EV = 0.6 x 10,000 = 6,000 (budget rate); AC = 30 x 300 = 9,000. (Key point: EV and AC) 3. SPI and CPI are: A. SPI = 0.667, CPI = 0.80 B. SPI = 1.25, CPI = 1.5 C. SPI = 0.80, CPI = 0.667 D. SPI = 0.60, CPI = 0.75 Answer: C. SPI = 6,000/7,500 = 0.80 and CPI = 6,000/9,000 = 0.667. (Key point: Indices) 4. EAC = BAC/CPI is: A. Rs 10,000, on budget B. Rs 12,500 C. Rs 9,000 D. Rs 15,000, an overrun of Rs 5,000 Answer: D. EAC = 10,000/0.667 = 15,000, so VAC = -5,000; the unit cost is 50% above the estimate. (Key point: Forecast and meaning) ## Close variants set in other exams - [EVA; plantation 50 units, 3 weeks, Rs 2500](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeva-plantation-3-weeks-2500-a76) — 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 - [EVA; 60 days, 25% work, Rs 12,00,000](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeva-numerical-60-days-25-percent) — Project Engineering, chapter 4