Final answer:
The project with a schedule variance of 2,750 and a cost variance of 7,950 is under budget and ahead of schedule.
Step-by-step explanation:
When assessing project performance, schedule variance (SV) and cost variance (CV) are critical metrics used in Earned Value Management (EVM). A positive SV indicates the project is ahead of schedule, while a negative SV suggests it is behind schedule. Similarly, a positive CV means the project is under budget, and a negative CV indicates it is over budget.
In the case presented, with a schedule variance of 2,750 and a cost variance of 7,950, both variances are positive numbers. Hence, the project is ahead of schedule and under budget. Therefore, the correct statement describing the status of the project is: The project is under budget and ahead of schedule.