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EVA; 10 days, 100,000, day 6, spi and cpi

Short answer

At day 6, PV=Rs 60,000, EV=Rs 70,000, AC=Rs 55,000; SPI=1.17, CPI=1.27. Thus project is ahead of schedule and under budget.

Suppose you have a project that is scheduled to be completed in 10 days at a budgeted cost of 100,000. At the end of day 6, you do an analysis and you determine the job is 70% complete and you have spent 55000. (i) Is the project ahead, behind schedule or on time? (ii) Is the project expected to complete on budget, under or over budget? (iii) What is the project's SPI and CPI at day 6?

Given data

BAC = Rs 1,00,000 (100,000); duration = 10 days; at day 6: work done = 70 %, cost spent = Rs 55,000. Planned work is assumed uniform with time.

Calculation

PV=610×100,000=60,000EV=0.70×100,000=70,000AC=55,000\begin{aligned} PV &= \frac{6}{10} \times 100{,}000 = 60{,}000 \\ EV &= 0.70 \times 100{,}000 = 70{,}000 \\ AC &= 55{,}000 \end{aligned} SV=EV−PV=70,000−60,000=10,000CV=EV−AC=70,000−55,000=15,000SPI=EVPV=70,00060,000=1.17CPI=EVAC=70,00055,000=1.27EAC=BACCPI=1,00,0001.2727=78,571ETC=EAC−AC=78,571−55,000=23,571VAC=BAC−EAC=1,00,000−78,571=21,429Forecast duration=10SPI=101.1667=8.6 days\begin{aligned} SV &= EV - PV = 70{,}000 - 60{,}000 = 10{,}000 \\ CV &= EV - AC = 70{,}000 - 55{,}000 = 15{,}000 \\ SPI &= \frac{EV}{PV} = \frac{70{,}000}{60{,}000} = 1.17 \\ CPI &= \frac{EV}{AC} = \frac{70{,}000}{55{,}000} = 1.27 \\ EAC &= \frac{BAC}{CPI} = \frac{1{,}00{,}000}{1.2727} = 78{,}571 \\ ETC &= EAC - AC = 78{,}571 - 55{,}000 = 23{,}571 \\ VAC &= BAC - EAC = 1{,}00{,}000 - 78{,}571 = 21{,}429 \\ \text{Forecast duration} &= \frac{10}{SPI} = \frac{10}{1.1667} = 8.6\ \text{days} \end{aligned}

Answers

(i) SV=+10,000SV = +10{,}000 and SPI=1.17>1SPI = 1.17 > 1: the project is ahead of schedule (70 % done against 60 % planned). At this rate it can finish in about 8.6 days.

(ii) CV=+15,000CV = +15{,}000 and CPI=1.27>1CPI = 1.27 > 1: the project is expected to complete under budget; EAC = Rs 78,571 against Rs 1,00,000, a saving of Rs 21,429.

(iii) SPI = 1.17 and CPI = 1.27 at day 6.

  • Action: continue the same management, keep the quality standard (do not save cost by poor work), and use the saved time/money as contingency or to release resources for other tasks.

✓ Answer checked by Claude Opus 5.5 (high effort)

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