Logistics Solutions provides order fulfillment services for dot.com merchants. The company maintains warehouses that stock items carried by its dot.com clients. When a client receives an order from a customer, the order is forwarded to Logistics Solutions, which pulls the item from storage, packs it, and ships it to the customer. The company uses a predetermined variable overhead rate based on direct labor-hours.
In the most recent month, 160,000 items were shipped to customers using 6,500 direct labor-hours. The company incurred a total of $20,800 in variable overhead costs.
According to the company’s standards, 0.03 direct labor-hours are required to fulfill an order for one item and the variable overhead rate is $3.25 per direct labor-hour.
Required:
1. What is the standard labor-hours allowed (SH) to ship 160,000 items to customers?
2. What is the standard variable overhead cost allowed (SH × SR) to ship 160,000 items to customers?
3. What is the variable overhead spending variance?
4. What is the variable overhead rate variance and the variable overhead efficiency variance?
Explanation
1.
| Number of items shipped (a) | 160,000 |
| Standard labor-hours per item (b) | 0.03 |
| Standard quantity of labor-hours allowed (a) × (b) | 4,800 |
2.
| Standard quantity of labor-hours allowed (a) | 4,800 | |
| Standard variable overhead cost per hour (b) | $ | 3.25 |
| Standard variable overhead cost allowed (a) × (b) | $ | 15,600 |
3.
| Actual variable overhead cost incurred (a) | $ | 20,800 | |
| Standard variable overhead cost allowed (b) | $ | 15,600 | |
| Variable overhead spending variance (a) – (b) | $ | 5,200 | U |
4.
| Actual Hours of Input, at the Actual Rate | Actual Hours of Input, at the Standard Rate | Standard Hours Allowed for Output, at the Standard Rate | |||||||
| (AH × AR) | (AH × SR) | (SH × SR) | |||||||
| 6,500 hours × $3.20 per hour* | 6,500 hours × $3.25 per hour | 4,800 hours** × $3.25 per hour | |||||||
| = $20,800 | = $21,125 | = $15,600 | |||||||
| Variable overhead rate variance, $325 F | Variable overhead efficiency variance, $5,525 U | ||||||||
| Spending Variance, $5,200 U | |||||||||
*$20,800 ÷ 6,500 hours = $3.20 per hour
** 160,000 items × 0.03 hours per unit = 4,800 hours
Thanks
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