DC Company has set the following standards in order to produce one unit
of product:
standard quantity standard price
direct materials 2.7 yards ?? per yard
direct labor 2 hours $14 per hour
variable overhead 2 hours ?? per hour
During August, DC Company spent $133,770 to purchase direct materials and
had direct labor totaling $189,440. During August, DC Company used 16,000
yards of direct materials in the production of units. DC had 2,500 yards
of materials in its August 1 direct material inventory and had 1,200 yards
yards remaining in its direct materials inventory at August 31.
DC Company reported the following variances for August:
Direct material price variance .............. $12,495 unfavorable
Direct labor rate variance .................. $24,240 unfavorable
Total direct labor variance ................. $6,560 favorable
Variable overhead spending variance ......... $1,900 unfavorable
Variable overhead efficiency variance ....... $20,900 favorable
Calculate the number of units produced by DC Company in August.
Please Explain
| Actual direct labor costs | $ 189,440 | |
| Add: | Total direct labor variance | $ 6,560 |
| Standard direct labor costs | $ 196,000 | |
| Divided by: | Standard labor rate | $ 14 |
| Standard direct labor hours | 14,000 | |
| Divided by: | Standard direct labor hours per unit | 2 |
| Actual units produced by DC Company in August | 7,000 |
Proof of answer
| Actual direct labor costs | $ 189,440 | |
| Less: | Direct labor rate variance | $ 24,240 |
| Standard costs of actual hours | $ 165,200 | |
| Divided by: | Standard labor rate | $ 14 |
| Actaul labor hours | 11,800 |
| minus sign indicate unfavorable variance. | ||
| Measure | Hour | |
| Standard price per Hour | $ 14.00 | |
| 189440/11800 | Actual price per Hour | $ 16.05 |
| 7000*2 | Standard labor Hours | 14,000 |
| Actual labor Hours | 11,800 | |
| Standard price per Hour | 14.00 | |
| Less | Actual price per Hour | -16.05 |
| Difference | -2.05 | |
| Multiply | Actual labor Hours | 11800 |
| Labor price (rate) variance | $ (24,240) | |
| Indicate | Unfavorable | |
| Standard labor Hours | 14000 | |
| Less | Actual labor Hours | -11800 |
| Difference | 2200 | |
| Multiply | Standard price per Hour | 14.00 |
| Labor quantity (efficiency) variance | $ 30,800 | |
| Indicate | Favorable | |
| Total direct labor variance (Total of both variance) | $ 6,560 | |
| Indicate | Favorable | |
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The standard cost sheet for Chambers Company, which manufactures
one product, follows:
Direct materials, 40 yards at $3.00 per yard
$
120
Direct labor, 5 hours at $30 per hour
150
Factory overhead applied at 70% of direct labor
(variable costs = $70; fixed costs = $35)
105
Variable selling and administrative
74
Fixed selling and administrative
50
Total unit costs
$
499
Standards have been computed based on a master budget activity
level of 29,800 direct labor-hours...