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Cost control; EVA 50 doghouses in 90 days

Short answer

Cost control prevents overruns, gives early warning, improves profit and forecasts final cost. EVA: PV=11,111.11, EV=10,000, AC=8,500; SV=-1,111.11, CV=1,500, SPI=0.900, CPI=1.176, so behind schedule and under budget; EAC=42,500, forecast 100 days.

Why is cost control important? A contractor agreed to build 50 doghouses in 90 days at a price of $1000 per unit. 20 days later, the contractor has finished 10 doghouses with an actual cost of $8500. What is the status of the project?

Why cost control is important

Cost control means monitoring actual expenditure against the budget and taking action on variances. It is important because it:

  • keeps the project within the approved budget and prevents cost overrun;
  • gives early warning of problems, so that corrective action is taken in time;
  • improves profit for the contractor and value for the client;
  • helps to forecast the final cost and cash flow;
  • supports good decisions and accountability on resources and prices.

Status of the project by EVA

  • BAC = 50 x $1,000 = $50,000; time elapsed = 20 of 90 days (planned progress = 22.22 %)
  • Completed = 10 doghouses (20 %); actual cost AC = $8,500
PV=2090×50,000=11,111.11EV=10×1,000=10,000AC=8,500\begin{aligned} PV &= \frac{20}{90} \times 50{,}000 = 11{,}111.11\\ EV &= 10 \times 1{,}000 = 10{,}000\\ AC &= 8{,}500 \end{aligned}

Calculation (in $)

SV=EV−PV=10,000−11,111.11=−1,111.11CV=EV−AC=10,000−8,500=1,500SPI=EV/PV=10,000/11,111.11=0.900CPI=EV/AC=10,000/8,500=1.176EAC=BAC/CPI=50,000/1.176=42,500ETC=EAC−AC=42,500−8,500=34,000VAC=BAC−EAC=50,000−42,500=7,500Forecast duration=90/SPI=90/0.900=100 days\begin{aligned} SV &= EV - PV = 10{,}000 - 11{,}111.11 = -1{,}111.11\\ CV &= EV - AC = 10{,}000 - 8{,}500 = 1{,}500\\ SPI &= EV/PV = 10{,}000/11{,}111.11 = 0.900\\ CPI &= EV/AC = 10{,}000/8{,}500 = 1.176\\ EAC &= BAC/CPI = 50{,}000/1.176 = 42{,}500\\ ETC &= EAC - AC = 42{,}500 - 8{,}500 = 34{,}000\\ VAC &= BAC - EAC = 50{,}000 - 42{,}500 = 7{,}500\\ \text{Forecast duration} &= 90/SPI = 90/0.900 = 100\ \text{days} \end{aligned}

Comment

  • Schedule: SV is negative and SPI = 0.900, so the project is behind schedule. Only 90 % of the planned work is done. At this rate the work will take about 100 days instead of the planned 90 days (10 days late).
  • Cost: CV is positive and CPI = 1.176, so the project is under budget. Each $1 spent gives $1.18 of work.
  • Forecast: if the present cost trend continues, the final cost will be $42,500 against the budget of $50,000 (variance at completion = $7,500 saving).

Answer: SV = -$1,111.11, CV = $1,500, SPI = 0.900, CPI = 1.176; the project is behind schedule and under budget.

Status

The contractor is slightly behind schedule (SPI = 0.90; about 100 days needed instead of 90) but under budget (CPI = 1.18; forecast final cost $42,500 against $50,000). The cost saving is good, but the contractor should add resources or work extra shifts to recover the delay, remove bottlenecks (material, equipment, approvals), and keep the present cost discipline.

✓ Answer checked by Claude Opus 5.5 (high effort)

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