Final answer:
The earned value of the project, based on a schedule variance of (27,000) and a budgeted value of the work at 92,000, is 65,000.
Step-by-step explanation:
The question asks us to calculate the earned value of a project with known schedule variance, actual costs, budgeted value, and budget at completion. Earned Value (EV) is a key component in project cost management and can be calculated using the formula: EV = Budgeted Cost of Work Performed (BCWP). In this case, the schedule variance (SV) is given as (27,000) and the formula for schedule variance is SV = EV - Budgeted Cost of Work Scheduled (BCWS), which can be rearranged to EV = SV + BCWS. Since the budgeted value of the work is 92,000, we can determine the Earned Value by adding the schedule variance to the budgeted value. Therefore, EV = (27,000) + 92,000, resulting in an EV of 65,000.