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EVA; plantation 50 units, 3 weeks, Rs 2500

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.

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.

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
PV=13×1,25,000=41,666.67 (planned work = 16.67 units)EV=20×2,500=50,000AC=20×2,500=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

SV=EV−PV=50,000−41,666.67=8,333.33CV=EV−AC=50,000−50,000=0SPI=EV/PV=50,000/41,666.67=1.20CPI=EV/AC=50,000/50,000=1.00EAC=BAC/CPI=1,25,000/1.00=1,25,000ETC=EAC−AC=1,25,000−50,000=75,000VAC=BAC−EAC=0Forecast duration=3/SPI=3/1.20=2.5 weeks\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.

✓ Answer checked by Claude Opus 5.5 (high effort)

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