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EVA graphically; BCWS 9,50,000, BCWP 8,00,000

Short answer

EVA compares PV, EV and AC curves; favourable when EV lies above PV/AC and unfavourable when below. Here EV is below PV: SV=-Rs1,50,000 and SPI=0.842, so the project is behind schedule, forecast duration 53.4 weeks.

Explain earned value analysis graphically showing favourable and unfavourable cases of variance. For a particular project, the budgeted cost of work scheduled was Rs 9,50,000 and the budgeted value of the work actually completed or earned value was Rs 8,00,000 at a point of reporting date, i.e. at 20 weeks from starting date. The completion time of the project is 45 weeks. Based on the above details, draw the features of that project and comment on the schedule performance.

Earned value analysis graphically

EVA plots three cumulative cost curves against time: BCWS (planned value), BCWP (earned value) and ACWP (actual cost). The gaps between them are the variances.

  • Schedule variance: SV = BCWP - BCWS
  • Cost variance: CV = BCWP - ACWP
 FAVOURABLE            UNFAVOURABLE
 Cost                  Cost
  |      EV  .--        |      AC  .--
  |   PV .-'-'          |   PV .-'-'
  |   .-'   AC          |   .-'  EV
  | .'                  | .'
  +--------- time       +--------- time
 EV above PV: ahead     EV below PV: behind
 EV above AC: saving    EV below AC: overrun
CaseConditionMeaning
FavourableSV > 0 (EV above PV)Ahead of schedule
FavourableCV > 0 (EV above AC)Under budget
UnfavourableSV < 0 (EV below PV)Behind schedule
UnfavourableCV < 0 (EV below AC)Over budget
On targetEV = PV = ACAs planned

Numerical (schedule performance)

Data: PV = Rs 9,50,000 and EV = Rs 8,00,000 at week 20; planned duration = 45 weeks. The total budget and the actual cost are not given, so only the schedule performance can be found.

SV=EV−PV=8,00,000−9,50,000=−1,50,000SPI=EV/PV=8.00/9.50=0.842\begin{aligned} SV &= EV - PV = 8{,}00{,}000 - 9{,}50{,}000 = -1{,}50{,}000\\ SPI &= EV/PV = 8.00/9.50 = 0.842 \end{aligned}

Features and comment

 Cost (Rs lakh)
 9.5 |        PV o
 8.0 |        EV o   (below PV)
     +----------|----------- weeks
                20         45
  • The earned value curve lies below the planned value curve, so the project is behind schedule.
  • Only 84.2 % of the planned work is complete; work worth Rs 1,50,000 is delayed.
  • If the same performance continues, the expected duration = 45/0.842 = 53.4 weeks, i.e. about 8.4 weeks of delay.
  • Remedies: add labour and equipment to critical activities, work overtime, fast-track (overlap) activities on the critical path, and re-plan the remaining schedule.

Answer: SV = -Rs 1,50,000; SPI = 0.842; the project is behind schedule.

✓ Answer checked by Claude Opus 5.5 (high effort)

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