Final answer:
The total variable overhead variance is calculated as the difference between the actual variable overhead and the budgeted variable overhead based on actual activity. With actual costs being $2,000 less than budgeted costs, the variance is $2,000 favorable.
Step-by-step explanation:
To calculate the total variable overhead variance, we need to compare the actual variable costs with the budgeted variable costs for the actual level of activity. First, we calculate the budgeted variable overhead for the actual machine hours used:
Budgeted variable overhead = Budgeted variable overhead rate per machine hour × Budgeted machine hours allowed for actual output
Budgeted variable overhead = $2.50 × 30,000 = $75,000
Now we compare this with the actual total variable overhead:
Actual total variable overhead = $73,000
Variance = Actual total variable overhead - Budgeted variable overhead
Variance = $73,000 - $75,000 = -$2,000
A negative variance indicates that the actual costs were lower than the budgeted costs, hence, we have a $2,000 favorable variance.