Final answer:
To calculate the Estimate at Completion (EAC) for the project, you first determine the Cost Performance Index (CPI) and the Schedule Performance Index (SPI), then apply the formula EAC = AC + (BAC – EV)/(CPI * SPI). The computed EAC for the given practice question is approximately $408,988.76.
Step-by-step explanation:
The subject of this question falls under Business, specifically related to the concept of project management and cost control within the discipline. The question involves calculating the Estimate at Completion (EAC) which is a projection of the total cost of a project based on current performance.
To solve the practice question given:
Budget at Completion (BAC) = $300,000
Actual Cost (AC) = $100,000
Earned Value (EV) = $80,000
Planned Value (PV) = $90,000
First, calculate the Cost Performance Index (CPI) and the Schedule Performance Index (SPI):
CPI = EV/AC = $80,000/$100,000 = 0.8
SPI = EV/PV = $80,000/$90,000 = 0.89
Now use these indices to calculate the EAC:
EAC = AC + (BAC – EV)/(CPI * SPI)
EAC = $100,000 + ($300,000 - $80,000)/(0.8 * 0.89)
EAC = $100,000 + $220,000/0.712
EAC = $100,000 + $308,988.76
EAC = $408,988.76
Therefore, the Estimate at Completion for the project, should it continue on the current trajectory and the client insists on completing the project on time, is approximately $408,988.76.