Standard Costing and Variance Analysis Problems & Solution:
Problem 1:
Materials Variance Analysis:
The Schlosser Lawn Furniture Company uses 12 meters
of aluminum pipe at $0.80 per meter as standard for the production of its Type A
lawn chair. During one month's operations, 100,000 meters of the pipe were
purchased at $0.78 a meter, and 7,200 chairs were produced using 87,300 meters
of pipe. The materials price variance is recognized when materials are
purchased.
Required: Materials price and quantity
variances.
Solution:
| |
Meters of pipe |
Unit Cost |
Amount |
| Actual quantity purchased |
100,000 |
$0.78 actual |
$78,000 |
| actual quantity purchased |
100,000 |
$0.80 standard |
$80,000 |
| |
----------- |
----------- |
----------- |
| Materials purchase price variance |
100,000 |
$(0.02) |
$(2,000) fav. |
| |
======= |
======= |
======= |
| Actual quantity
used |
87,300 |
0.80 standard |
$69,840 |
| Standard
quantity allowed |
86,400 |
0.80 standard |
$69120 |
| |
------------- |
------------- |
------------- |
| Materials
quantity variance |
900 |
0.80 |
$720 Unfav |
| |
======= |
======= |
======= |
Problem 2:
Materials Variance Analysis:
The standard price for material 3-291 is $3.65 per liter. During November,
2,000 liters were purchased at $3.60 per liter. The quantity of material 3-291
issued during the month was 1775 liters and the quantity allowed for November
production was 1,825 liters. Calculate materials price variance, assuming that:
Required: Materials price variance,
assuming that:
- It is recorded at the time of purchase
(Materials purchase price variance).
- It is recorded at the time of issue
(Materials price usage variance).
Solution:
|
Liters |
Unit cost |
Amount |
| Actual quantity purchased |
2,000 |
3.60 actual |
$7,200 |
| Actual quantity purchased |
2,000 |
3.65 standard |
7,300 |
| |
--------- |
------------- |
--------- |
| Materials
purchase price variance |
2,000 |
$
(0.05) |
$(100) fav. |
| |
====== |
====== |
====== |
| Actual quantity
used |
1775 |
3.60 actual |
$6390.00 |
| Actual quantity
used |
1775 |
3.65 standard |
$6478.75 |
| |
-------- |
----------- |
----------- |
| Materials
price usage variance |
1775 |
$(0.05) |
(88.75) |
| |
====== |
====== |
======= |
Problem 3:
Labor Variance Analysis:
The processing of a product requires a standard of 0.8 direct labor hours
per unit for Operation 4-802 at a standard wage rate of $6.75 per hour. The
2,000 units actually required 1,580 direct labor hours at a cost of $6.90
per hour.
Required: Calculate:
- labor rate variance or
Labor price variance.
- Labor efficiency or usage or quantity
variance.
Solution:
| |
Time |
Rate |
Amount |
| Actual hours worked |
1,580 |
$6.90 actual |
$10,902 |
| Actual hours worked |
1.580 |
$6.75
standard |
10,665 |
|
-------- |
-------- |
-------- |
| Labor rate variance |
1,580 |
$0.15 |
$237 unfav. |
| |
===== |
===== |
===== |
| Actual hours worked |
1,580 |
$6.75 standard |
$10,665 |
| Standard hours
allowed |
1,600 |
$6.75 standard |
$10,800 |
| |
---------- |
------------ |
----------- |
| Labor
efficiency variance |
(20) |
6.75 standard |
$(135) fav. |
| |
====== |
====== |
====== |
Problem 4:
Factory Overhead Variance Analysis:
The Osage Company uses a standard cost system.
The factory overhead standard rate per direct labor hour is:
| Fixed: |
$4,500 /
5,000 hours |
= |
$0.90 |
| Variable: |
$7,500 /
5,000 hours |
= |
$1.50 |
| |
|
|
-------- |
| |
|
|
$2.40 |
For October, actual factory overhead was
$11,000 actual labor hours worked were 4,400 and the standard hours allowed
for actual production were 4,500.
Required: Factory overhead variances
using two, three and four variance methods.
Solution:
Two Variance
Method:
|
|
|
| Actual factory
overhead |
|
$11,000 |
| Budgeted
allowance based on standard hours allowed: |
|
|
|
Fixed expenses budgeted |
$4,500 |
|
|
Variable expenses (4,500 standard hours allowed ×
$1.50 variable overhead rate) |
$6,750 |
|
| |
----------- |
$11,250 |
| |
|
----------- |
| Favorable
controllable variance |
|
$
(250) fav. |
| |
|
====== |
| Budgeted
allowance based on standard hours allowed |
|
$11,250 |
| Overhead charged
to production (4,500 standard hours allowed ×
$2.40 standard rate) |
|
$10,800 |
| |
|
------------ |
| Unfavorable
volume variance |
|
$450 unfav. |
| |
|
====== |
Three Variance
Method:
|
|
|
| Actual factory
overhead |
|
$11,000 |
| Budgeted
allowance based on actual hours worked: |
|
|
|
Fixed expenses budgeted |
$4,500 |
|
|
Variable expenses (4,400 actual hours worked ×
$1.50 variable overhead rate) |
$6,600 |
|
| |
----------- |
$11,100 |
| |
|
----------- |
| Favorable
spending variance |
|
$
(100) fav. |
| |
|
====== |
| Budgeted
allowance based on actual hours worked |
|
$11,100 |
| Actual hours
worked ×
Standard overhead rate (4,400 hours ×
$2.40) |
|
$10,560 |
| |
|
------------ |
| Unfavorable
spending variance |
|
$540 unfav. |
|
|
====== |
| Actual hours
worked ×
Standard overhead rate (4,400 hours ×
$2.40) |
|
$10,560 |
| Overhead charged
to production (4,500 standard hours allowed ×
$2.40 standard rate) |
|
$10,800 |
| |
|
----------- |
| Favorable
efficiency variance |
|
$
(240) fav. |
| |
|
===== |
Four Variance
Method:
|
|
|
| Actual factory
overhead |
|
$11,000 |
| Budgeted
allowance based on actual hours worked: |
|
|
|
Fixed expense budgeted |
$4,500 |
|
|
Variable expenses (4,400 actual hours worked ×
$1.50 variable overhead rate) |
$6,600 |
|
|
----------- |
$11,100 |
| |
|
----------- |
| Favorable
spending variance |
|
$
(100) fav. |
| |
|
====== |
| Budgeted
allowance based on actual hours worked |
|
$11,100 |
| Budgeted
allowance based on standard hours allowed |
|
$11,250 |
| |
|
----------- |
| Favorable
variable overhead efficiency variance |
|
$
(150) fav. |
| |
|
====== |
| Actual hours × fixed
overhead rate (4,400 actual hours × $0.90 fixed overhead rate) |
|
$3,960 |
| Standard hours
allowed × fixed overhead rate (4,500 actual hours × $0.90) |
|
4,050 |
| |
|
----------- |
| Favorable
fixed overhead efficiency variance |
|
$
(90) fav. |
| |
|
====== |
| Normal capacity
hours (5000) ×
Fixed overhead rate ($0.90) |
|
$4,500 |
| Actual hours
worked (4,400) ×
Fixed overhead rate ($0.90) |
|
$3,960 |
|
|
------------ |
| Unfavorable
Idle capacity variance (600 hours ×
$0.90) |
|
$540 unfav. |
| |
|
====== |
Problem 5:
Variance Analysis:
On May 1, Bovar Company began the manufacture
of a new mechanical device known a "Dandy." The company installed a standard
cost system in accounting for manufacturing costs. The standard costs for a
unit of Dandy are:
| Materials: 6 lbs. at $1 per
lb. |
$ 6.00 |
| Direct labor: 1 hour at $4
per hour |
$ 4.00 |
| Factory overhead: 75% of
direct labor cost |
$ 3.00 |
| |
----------- |
| Total |
$13.00 |
| |
====== |
The following data were obtained from Bovar's
record for may:
| Actual
production of Dandy |
4,000 units |
| Units sold of
Dandy |
2,500 |
| Sales |
$50,000 |
| Purchases
(26,000 pounds) |
27,300 |
| Materials price
variance (applicable to May purchase) |
$1,300 unfavorable |
| Materials
quantity variance |
1,000 unfavorable |
| Direct labor
rate variance |
760 unfavorable. |
| Direct labor
efficiency variance |
800 favorable |
| Factory overhead
total variance |
500 unfavorable |
Required:
- Standard quantity of materials allowed (in
pounds).
- Actual quantity of materials used (in
pounds).
- Standards hours allowed.
- Actual hours allowed.
- Actual direct labor rate.
- Actual total factory overhead.
Solution:
| Actual production |
4,000 units |
| Standard materials per unit |
6 pounds |
| |
------------ |
| Standard quantity of
materials allowed |
24,000 pounds |
| |
======= |
| Standard quantity of
materials allowed |
24,000 pounds |
| Unfavorable materials
quantity variance ($1,000 variance
/ $1 standard price per pound) |
1,000 pounds |
| |
------------- |
| Actual quantity of
materials used |
25,000 pounds |
| |
======== |
| Actual production |
4,000 units |
| Standard hours per unit |
1 hour |
| |
------------ |
| Standard hours allowed |
4,000 hours |
| |
======== |
| Standard hours allowed |
4,000 hours |
| Favorable direct labor
efficiency variance ($800 variance
/ $4 standard rate per direct labor hour) |
(200) hours |
| |
------------- |
| Actual hours worked |
3,800 hours |
| |
======= |
| Standard direct labor rate |
$4.00 |
| Unfavorable direct labor
rate variance ($760 variance /
3,800 hours actually worked) |
0.20 |
| |
------------ |
| Actual direct labor rate |
$4.20 |
| |
====== |
| Standard factory overhead
(4,000 units produced ×
$3 standard overhead rate per unit) |
$12,000 |
| Unfavorable factory overhead
variance |
500 |
| |
------------- |
| Actual total factory
overhead |
$12,500 |
| |
======= |
|