Final answer:
Option 2 is correct.A TCPI of 1.27 indicates that the project needs to be 27% more efficient to complete the work within the budget. The correct statement is that it needs a 27% efficiency increase to meet financial goals.
Step-by-step explanation:
When managing a development project, the To-Complete Performance Index (TCPI) provides a forecast of the cost performance that is required to achieve a target, such as completing the project within the approved budget. A TCPI of 1.27 means that the project needs to increase its efficiency by 27% to stay within budget. Therefore, the most accurate statement from the options is: "2) The project needs to be 27% more efficient to complete the work within the approved budget". It indicates that the project team must improve their cost performance by 27% in the remaining period of the project to meet the financial objectives set forth in the plan.