Answer:
(a). $10000.
(b). Cost variance and Scheduled variance = -$5000.
(c). 0.66 and 0.66.
(d). task is behind schedule and the task is over budget.
Step-by-step explanation:
(a). Earned value at the end of the first month can be calculated by using the formula below;
= A × B.
Where A = first month budget and B = rate at which the work is getting completed.
Earned value at the end of the first month = 15000× (2/3)
Earned value at the end of the first month = $10000
(b). The Cost Variance and the Schedule Variance can be calculated using the formula below;
Cost variance = Earned value at the end of the first month - monthly budget
Cost variance= 10000 - 15000
Cost variance = -$5000
Also, the Scheduled variance = Earned value at the end of the first month - monthly budget
= 10000 - 15000
= - $5000
(c). The cost Performance Index and the Schedule Performance Index can be calculated by using the formula below;
Cost performnace index = 10000 / 15000
= 0.66
Schedule performance index = the amount Earned / the amount that was planned.
Schedule performance index = 10000 / 15000
= 0.66.
(d). Since both schedule performance index and the Cost performance index are less than one that is 0.66, task is behind schedule and the task is over budget respectively.