Final answer:
The variable-overhead spending variance for Duncanville, Inc., is calculated by subtracting the standard cost of $158,400 from the actual cost of $167,750, resulting in an unfavorable variance of $9,350.
Step-by-step explanation:
To calculate Duncanville's variable-overhead spending variance, we need to compare the standard cost of variable overhead to the actual amount incurred. The standard cost is based on 4 hours at $8 per hour. For the actual machine hours worked of 19,800, the standard cost would be 19,800 hours × $8 per hour. However, $167,750 was actually incurred. To find the variance, subtract the standard cost from the actual cost.
The standard cost is 19,800 hours × $8 per hour = $158,400. The variable-overhead spending variance is, therefore, the actual cost of $167,750 minus the standard cost of $158,400, which equals $9,350 unfavorable. An unfavorable variance indicates that the costs were higher than expected based on the standards set.