Factory Overhead Yield Variance:
Learning Objective of
the article:
- Define and explain overhead yield variance.
- Calculate
overhead yield variance when three variance and two variance approaches
are used.
Formula of Overhead Yield Variance:
[(Standard hours allowed for
expected output × Standard overhead rate) – (Standard hours allowed for
actual output × Standard overhead rate)]
An example can help us explain the calculation
of overhead yield variance.
Example:
To illustrate the calculation of overhead yield variance assume that the
springmint Company, a manufacturer of chewing
gum, uses a standard cost system. Standard product and cost specifications
for 1,000 lbs. of chewing gum are as follows:
| |
Quantity |
× |
Price |
= |
Cost |
|
| Gum base |
800 |
|
$0.25 |
|
$200 |
| Corn syrup |
200 |
|
$0.40 |
|
80 |
| Sugar |
200 |
|
$0.10 |
|
20 |
| |
-------- |
|
|
|
-------- |
| Input |
1,200 lbs |
|
|
|
$300 |
$300 / 1,200 lbs = $0.25 per
lb.* |
| |
===== |
|
|
|
==== |
|
| Output |
1,000 |
|
|
|
$300 |
$300 / 1,000 lbs = $0.30 per
lb.* |
| |
===== |
|
|
|
==== |
|
*Weighted average.
The production of 1,000 lbs. of chewing gum required
1,200 lbs of raw materials. Hence the yield is 1,000 lbs / 1,200lbs. or 5/6 of
input. Materials records indicate.
|
Materials |
Beginning Inventory |
Purchases in January |
Ending Inventory |
|
Materials |
Beginning Inventory |
Purchases in January |
Ending Inventory |
|
Gum base |
10,000 lbs |
162,000 lbs@ 0.24 |
15,000 lbs |
|
Corn Syrup |
12,000 lbs |
30,000 lbs @ 0.42 |
4,000 lbs |
|
Sugar |
15,000 lbs |
32,000 lbs @ 0.11 |
11,000 lbs |
To convert 1,200 lbs. of raw materials into 1,000
lbs of finished product required 20 hours at $6.00 per hour or $0.12 per lbs. of
finished product. Actual direct labor hours and cost for January are 3,800 hours
at $23,104. Factory overhead is applied on a direct labor hour basis at a rate
of $5 per hour ($3 fixed , $2 variable), or $ 0.1 per lb. of finished product.
Normal overhead is $20,000 with 4,000 direct labor hours. Actual overhead for
the month is $22,000, Actual finished production for January is 200,000 lbs.
The standard cost per pound of finished chewing
gum is:
| Materials |
$0.30 per lb. |
| Labor |
$0.12 per lb. |
| Factory overhead |
$0.10 per lb |
Required: Calculate factory overhead yield variance.
Three Variance Method Adapted to Calculate Overhead Yield Variance:
A yield variance can be calculated for
factory overhead. When three variance method is used to calculate overhead
yield variance, the overhead variances consist of the:
- Factory overhead spending variance
- Factory overhead idle capacity variance
- Factory overhead efficiency variance
- Factory overhead yield variance
These variances are computed as follows:
| |
Actual
factory overhead |
|
$22,000 |
| |
Budgeted allowance based on actual hours worked: |
|
|
| |
Fixed expenses budgeted |
$12,000 |
|
| |
Variable expenses: 3,800 actual hours ×
$2 variable standard overhead rate |
$7,600 |
|
| |
|
-------- |
$19,600 |
| |
|
|
--------- |
| 1 |
Overhead spending variance |
|
$2,400 U |
| |
|
|
====== |
| |
Budgeted
allowance based on actual hours worked |
|
$19,600 |
| |
Actual
hours (3,800) ×
Standard overhead rate ($5) |
|
$19,000 |
| |
|
|
---------- |
| 2 |
Overhead idle capacity variance |
|
$600 U |
| |
|
|
====== |
| |
Actual
hours (3,800) ×
Standard overhead rate ($5) |
|
$19,000 |
| |
Standard
hours allowed for expected out put (3,850) ×
Standard overhead rate ($5) |
|
$19,250 |
| |
|
|
--------- |
| 3 |
Overhead efficiency variance |
|
$(250) F |
| |
|
|
======= |
| |
Standard
hours allowed for expected output (3,850) ×
Standard overhead rate ($5) |
|
$19,250 |
| |
Standard
hours allowed for actual output (4,000) ×
Standard overhead rate ($5) |
|
$20,000 |
| |
|
|
--------- |
| 4 |
Overhead yield variance |
|
$(750) F |
| |
|
|
====== |
| |
F = Favorable
U = Unfavorable |
|
|
The spending and idle capacity variances are
calculated in the same manner as explained on
factory overhead spending variance page and
factory overhead idle capacity variance page respectively. The overhead
efficiency variance calculated here and the overhead yield variance when
combined , equal the traditional overhead efficiency variance discussed on
overhead
efficiency variance page. The overhead yield variance measures that
portion of the total overhead variance resulting from a favorable yield.
[(3,850 hours – 4000hours) ×
$5.00 = $750]
Two Variance Method Adopted to Calculate Overhead Yield Variance:
When two variance approach is used, the
overhead variances are:
- Controllable variance
- Volume variance
- Yield variance
These variances are calculated as follows:
| |
Actual factory overhead |
|
$22,000 |
| |
Budgeted allowance based on standard hours
allowed: |
|
|
| |
Fixed overhead budgeted |
$12,000 |
|
| |
Variable expenses (3,850 standard hours × $2
standard rate) |
$7,700 |
|
| |
|
--------- |
$19,700 |
| |
|
|
--------- |
| 1 |
Controllable variance |
|
$2,300 U |
| |
|
|
======= |
| |
Budgeted allowance based on standard hours
allowed |
|
$19,700 |
| |
Standard hours allowed for expected output
(3,850) ×
standard overhead rate ($5) |
|
$19,250 |
| |
|
|
---------- |
|
2 |
Volume variance |
|
$450 U |
| |
|
|
======= |
| |
Standard hours allowed for expected output
(3,850) ×
standard overhead rate ($5) |
|
$19,250 |
| |
Standard hours allowed for actual output
(4,000) ×
standard overhead rate ($5) |
|
$20,000 |
| |
|
|
---------- |
| 3 |
Overhead yield variance |
|
$ (750) F |
| |
F = Favorable
U = Unfavorable |
|
|
The favorable overhead yield variance
is the same as for the three variance approach and can be viewed as
consisting of $300 variable cost [(3,850 standard hours allowed for expected
output – 4,000 standard hours allowed for actual output) × $2], and $450
fixed cost [(3,850 – 4,000) ×
$3].
You may also be interested in other
relevant articles:
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