PK0-003 · Question #188
The project has spent $5,000 to date. The earned value of the project is $7,500. Which of the following is the project's CPI?
The correct answer is D. 1.5. The Cost Performance Index (CPI) is calculated by dividing the Earned Value (EV) by the Actual Cost (AC), which in this scenario is $7,500 / $5,000, resulting in 1.5.
Question
The project has spent $5,000 to date. The earned value of the project is $7,500. Which of the following is the project's CPI?
Options
- A-$2,500
- B$12,500
- C0.67
- D1.5
How the community answered
(48 responses)- A6% (3)
- B4% (2)
- C10% (5)
- D79% (38)
Why each option
The Cost Performance Index (CPI) is calculated by dividing the Earned Value (EV) by the Actual Cost (AC), which in this scenario is $7,500 / $5,000, resulting in 1.5.
-$2,500 represents the Cost Variance (CV), which is EV - AC ($7,500 - $5,000 = $2,500), but the question asks for CPI and the sign would be positive for this result.
$12,500 is the sum of Earned Value and Actual Cost ($7,500 + $5,000), which is not a standard Earned Value Management metric.
0.67 would be the result if Actual Cost (AC) was divided by Earned Value (EV) ($5,000 / $7,500), which is the inverse of the correct CPI calculation.
The Cost Performance Index (CPI) is a key Earned Value Management (EVM) metric that measures the cost efficiency of budgeted resources for the work performed. It is calculated as Earned Value (EV) divided by Actual Cost (AC). In this case, EV is $7,500 and AC is $5,000, so CPI = $7,500 / $5,000 = 1.5. A CPI greater than 1.0 indicates that the project is under budget for the work accomplished.
Concept tested: Earned Value Management (EVM) - CPI calculation
Source: https://www.pmi.org/learning/library/earned-value-management-for-beginners-6240
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