Question

SCHMIDT MACHINERY COMPANY

Standard Cost Sheet
Product: XV-1
Descriptions Quantity Cost Rate Subtotal Total
Direct materials
Aluminum 4 pounds $25/pound $100
PVC 1 pound 40/pound 40
Direct labor 5 hours 40/hour 200
Variable factory overhead 5 hours 12/hour 60
Total variable manufacturing cost $400
Fixed factory overhead 5 hours 24/hour 120 120
Standard manufacturing cost per unit $520
Standard variable selling and administrative cost per unit I pound 50
* Budgeted fixed factory overhead cost = $120,000
Assume that Schmidt Machinery Company had the standard costs reflected in Exhibit 14.5. In a given month, the company used 3,470 pounds of aluminum to manufacture 935 units. The company paid $28.90 per pound during the month to purchase aluminum. At the beginning of the month, the company had 54 pounds of aluminum on hand. At the end of the month, the company had only 34 pounds of aluminum in its warehouse. Schmidt used 4,400 direct labor hours during the month, at an average cost of $41.90 per hour.
Required:
Compute for the month the following variances:
1. The purchase-price variance for aluminum. Indicate whether this variance is favorable (F) or unfavorable (U).
2. The usage variance for aluminum. Indicate whether this variance is favorable (F) or unfavorable (U).
3. The direct labor rate variance. Indicate whether this variance is favorable (F) or unfavorable (U).
4. The direct labor efficiency variance. Indicate whether this variance is favorable (F) or unfavorable (U).

Answer 1

See below

Step-by-step explanation:

1. Purchase price variance

Standard price per pound = $25

Actual price per pound = $28.9

Quantity of aluminium purchased = Closing inventory + Quantity used - Opening inventory

= 34 + 3,470 - 54

= 3,450 pounds

Purchase price variance = (Standard price - Actual price) × Quantity purchased

= ($25 - $28.9) × 3,450

= -$3.9 × 3,450

= $13,455 (U)

2. Usage variance

Standard quantity of Aluminium for actual production

= 935 units × 4 pounds each

= 3,740 pounds

Usage variance = (Standard quantity of material used - Actual quantity used) × Standard price per unit

= (3,740 - 3,470) × $25

= 270 × $25

= $6,750 (F)

3. Direct labor rate variance

= (Standard rate per hour - Actual rate per hour)

× Actual hours for production

= ($40 - $41.9) × 4,400

= -$1.9 × 4,400

= $8,360 (U)

4. Efficiency variance

Standard hours for actual production

= 935 units × 5 per hour

=4,675 hours

Labor efficiency variance = (Standard hours for actual production - Actual hours for actual production) × Standard rate per hour

= (4,675 - 4,400) × $40

= 275 × $40

= $11,000 (F)