Final answer:
The Budget at Completion (BAC) can be calculated using the formula BAC = EAC + VAC, where EAC is the Estimate at Completion and VAC is the Variance at Completion. By inserting the values provided ($75,000 for EAC and $9,000 for VAC), we find that the BAC equals $84,000.
Step-by-step explanation:
To calculate the Budget at Completion (BAC), you can use the following formulas and information:
- Forecasted Estimate at Completion (EAC): $75,000
- Spent to Date (Actual Cost, AC): $38,000
- Earned Value (EV): $46,000
- Variance at Completion (VAC): $9,000
The Variance at Completion is calculated by subtracting the Estimate at Completion from the Budget at Completion: VAC = BAC - EAC. Therefore, to find the BAC, you would rearrange the formula to be: BAC = EAC + VAC.
Inserting the provided numbers into the formula gives us: BAC = $75,000 + $9,000, which equals $84,000. So, the Budget at Completion is $84,000.