Process Costing System - Exercises and Problems:
Learning Objective:
- Prepare the format of cost of
production report.
- Calculate equivalent units of
production.
- What is the treatment of normal
and abnormal loss in process costing system?
- How the timing of normal and
abnormal loss is considered in a cost of production report?
-
Cost of Production Report
-
Cost of Production Report; Normal Loss
-
Cost
of Production Report
-
Equivalent Units of Production
-
Costing of Units Transferred Out; Abnormal Loss
-
Cost of Production Report; Normal and Abnormal Loss
-
Cost of Production Report; Spoiled Units - Normal and Abnormal
-
Computation of Equivalent Production
A company's Department 2 costs for
June were:
| Cost from
Department 1 |
$16320 |
| Cost added in
Department 2: |
|
|
Materials |
43,415 |
|
Labor |
56,100 |
| Factory overhead
(FOH) |
58,575 |
The quantity schedule shows 12,000 units
were received during the month from Department 1; 7,000 units were
transferred to finished goods; and 5,000 units in process at the end of June
were 50% complete as to materials cost and 25% complete as to conversion
cost. Required:
Prepare Cost of production report.
Solution:
Department 2
Cost of Production Report
For the Month of June, 19___
| Quantity Schedule: |
|
|
| Units received from
department 1 |
|
12,000 |
| Units transferred to
finished goods |
7,000 |
|
| Units still in process
(50% materials, 25% conversion) |
5,000 |
|
| Cost Charged to the
Department: |
Total cost |
Unit cost |
| Cost from preceding
department: |
|
|
|
Transferred in during the month (12,000 units) |
$16,320 |
$1.36 |
| |
------- |
------ |
| Cost added by
department: |
|
|
|
Materials |
$43,415 |
$4.57 |
|
Labor |
56,100 |
6.80 |
|
Factory overhead |
58,575 |
7.10 |
| |
------- |
------- |
|
Total cost added |
$158,090 |
$18.47 |
| |
-------- |
------- |
| Total cost to be accounted
for |
$174,410 |
$19.83 |
| |
======= |
===== |
| Cost Accounted for
as Follows: |
|
|
| Transferred to finished
goods (7,000 ×
$19.83) |
|
$138,810 |
| Work in process ending
inventory: |
|
|
| Cost from preceding
department |
$6,800 |
|
| Materials (5,000
× 50%
× $4.75) |
11,425 |
|
| Labor (5,000
× 25%
× $6.80) |
8,500 |
|
| Factory overhead (5,000
× 25%
× $7.10) |
8,875 |
|
| |
-------- |
35,600 |
| |
|
-------- |
| Total cost accounted for |
|
$174,410 |
| |
|
======= |
Additional computations:
Equivalent production:
Materials = 7,000 + (5,000 × 50%) =
9,500 units
Labor and factory overhead = 7,000 + (5,000 × 25%) = 8,250 units
For December, the Production Control
Department of Carola Chemical, Inc., reported the following production data
for Department 2:
| Transferred in from
Department 1 |
55,000
liters |
| Transferred out to
Department 3 |
39,500liters |
| In process at the end of
December (with 1/2 labor and
factory overhead) |
10,500
liters |
All materials were put into process in
Department 1. The cost department collected following figures for department
2:
| Unit cost for units
transferred in from department 1 |
$1.80 |
| Labor cost in department 2 |
$27,520 |
| Applied factory overhead |
$15480 |
Required: A cost of production
report for department 2 for December.
Solution:
Carola Chemical Inc.
Department 2
Cost of Production Report
For the Month of December. 19____
| Quantity
Schedule: |
|
|
| Units received
from preceding department |
|
55,000 |
| |
|
====== |
| Units
transferred to next department |
39,500 |
|
| Units still in
process (1/3 labor and overhead) |
10,500 |
|
| Units lost in
process |
5,000 |
55,000 |
| |
------- |
====== |
| Cost
Charged to the Department: |
Total Cost |
Unit Cost |
| Cost from
preceding department: |
|
|
|
Transferred in during the month |
$99,000 |
$1.80 |
| |
-------- |
------ |
| Cost added
by the department: |
|
|
|
Labor [39,500 + (1/3 × 10,500) =
43,000 units] |
$27,520 |
$0.64 |
|
Factory overhead |
$15,480 |
$0.36 |
| |
-------- |
------ |
| Total cost
added |
$43,000 |
$1.00 |
| Adjustment for
lost units |
|
$0.18* |
| |
-------- |
------ |
| Total cost to be accounted
for |
$142,000 |
$2.98 |
|
======= |
===== |
| Cost
Accounted for as Follows: |
|
|
| Transferred to
next department (39,500 × $2.98) |
|
$117,710 |
| Work in
process - ending inventory: |
|
|
| Cost from
preceding department (10,500 ×
$1.98) |
$20,790 |
|
| Labor
(10,500 × 1/3 × $0.64) |
2,240 |
|
| Factory
overhead (10,500 × 1/3 × $0.36) |
1,260 |
24,290 |
|
-------- |
------- |
| Total cost
accounted for |
|
$142,000 |
|
|
====== |
|
|
|
*Adjustment
for lost units:
Formula for Calculation:
(Cost from preceding departments / Units from
preceding departments - Lost units) - Unit cost from preceding department
(99,000 / 50,000) - 1.80 = $0.18
OR
(5,000
× 1.80) = $9,000 / 50,000 = $0.18
Brooks Inc. uses process costing. The costs
for Department 2 for April were:
| Cost from preceding
department |
|
$20,000 |
| Cost added by department: |
|
|
|
Materials |
$21,816 |
|
|
Labor |
7,776 |
|
|
Factory overhead (FOH) |
4,104 |
33,696 |
| |
-------- |
|
| |
|
|
| The following
information was obtained from the department's quantity schedule: |
| |
|
|
|
Units received |
5,000 |
|
|
Units transferred out |
4,000 |
|
|
Units still in process |
1,000 |
|
The degree of completion of the work in
process as to costs originating in department 2 was: 50% of units were 40%
complete; 20% were 30% complete; and the balance were 20% complete.
Required: The cost of production report
for Department 2 for April.
Solution:
Brooks Inc.
Department 2
Cost of Production Report
For the month of April, 19|____
| Quantity
Schedule: |
|
|
| Units received
from preceding department |
|
5,000 |
| |
|
====== |
| Units
transferred to next department |
4,000 |
|
| Units still in
process (32 labor and overhead) |
1,000 |
5,000 |
| |
------- |
====== |
| Cost
Charged to the Department: |
Total Cost |
Unit Cost |
| Cost from
preceding department: |
|
|
|
Transferred in during the month |
$20,000 |
$4.00 |
| |
-------- |
------ |
| Cost added
by the department: |
|
|
|
Materials |
$21,816 |
$5.05 |
|
Labor [39,500 + (1/3 × 10,500) =
43,000 units] |
$7,776 |
$1.80 |
|
Factory overhead |
$4,104 |
$0.95 |
| |
-------- |
------ |
| Total cost
added |
$33,696 |
$7.80 |
| |
-------- |
------ |
| Total cost to
be accounted for |
$53,696 |
$11.80 |
|
======= |
===== |
| Cost
Accounted for as Follows: |
|
|
| Transferred to
next department (4,000 × $11.80) |
|
$47,200 |
| Work in
process - ending inventory: |
|
|
|
Cost from preceding department
(1000 × $4.00) |
$4,000 |
|
|
Materials (1,000 × 0.32 × $5.05) |
1,616 |
|
|
Labor (1,000 × 0.32 × $1.80) |
576 |
|
|
Factory overhead (10,500 × 0.32 ×
$0.95) |
304 |
6,496 |
|
-------- |
------- |
| Total cost
accounted for |
|
$53,696 |
|
|
====== |
|
|
|
Additional Computations
Equivalent units of production:
Materials, labor, and factory overhead = 4,000
+ (1,000 32%) = 4,320 units
| |
Units in Process |
Equivalent |
| |
50% were 40% complete |
0.20 |
| |
20% were 30% complete |
0.06 |
| |
30% were 20% complete |
0.06 |
| |
|
-------- |
| |
Total |
0.32 |
| |
|
===== |
| |
OR |
| |
50% of 1,000 units
× 40% = 200
units |
| |
20% of 1,000 units
× 30% = 60
units |
| |
30% of 1,000 units
× 20% = 60
units |
|
Total
=320 units
|
During April, 20,000 units were transferred
in from department A at a cost of $39,000. Materials cost of $6,500 and
conversion cost of $9,000 were added in department B. On April 30,
department B had 5,000 units of work in process 60% complete as to
conversion as costs. Materials are added in the beginning of the process in
department B. Required:
- Equivalent units of production
calculation.
- The cost per equivalent unit for
conversion costs.
Solution:
| (1)
Quantity Schedule: |
|
|
| Units
received from preceding department A |
|
20,000 |
| |
|
====== |
| Units
transferred to finished goods |
15,000 |
|
| Units still
in process |
5,000 |
20,000 |
| |
-------- |
====== |
|
Equivalent Production: |
|
|
| |
Transferred in from Department A |
Materials |
Conversion |
| Transferred to finished
goods |
15,000 |
15,000 |
15,000 |
| Ending inventory |
5,000 |
5,000 |
3,000 |
| |
------- |
-------- |
------- |
| |
20,000 |
20,000 |
20,000 |
| |
====== |
====== |
====== |
(2) cost per equivalent unit for
conversion costs:
$9,000 / 18,000 = $0.50 per unit
During February, the Assembly department
received 60,000 units from Cutting department at a unit cost of $3.54.
Costs added in the Assembly department were: materials, $41,650; labor,
$101,700; and factory overhead. $56,500. There was no beginning inventory.
Of the 60,000 units received, 50,000 were transferred out; 9,000 units
were in process at the end of the month (all materials, 2/3 converted);
1,000 lost units were 1/2 complete as to materials and conversion costs.
The entire loss is considered abnormal and is to be charged to factory
overhead. Required: Cost of
production report.
Solution:
Assembly Department
Cost of Production Report
For the month of April, 19|____
|
Quantity Schedule: |
|
|
| Units
received from preceding department |
|
60,000 |
| |
|
====== |
| Units
transferred to next department |
50,000 |
|
| Units still
in process (All materials - 2/3
labor and overhead) |
9,000 |
|
|
Units lost in process (Abnormal
loss - 1/2 materials, labor, and overhead) |
1,000 |
60,000 |
| |
------- |
====== |
| Cost
Charged to the Department: |
Total Cost |
Unit Cost |
| Cost from
preceding department: |
|
|
|
Transferred in during the month
(60,000 units) |
$212,400 |
$3.54 |
| |
-------- |
------ |
| Cost
added by the department: |
|
|
|
Materials |
$41,650 |
$1.70 |
|
Labor |
$101,700 |
$1.80 |
|
Factory overhead |
$56,500 |
$1.00 |
| |
-------- |
------ |
| Total cost
added |
$199,850 |
$3.50 |
| |
-------- |
------ |
| Total cost
to be accounted for |
$412,250 |
$7.04 |
|
======= |
===== |
| Cost
Accounted for as Follows: |
|
|
| Transferred
to next department (50,000 ×
$7.04) |
|
$352,000 |
|
Transferred to Factory Overhead: |
|
|
|
From preceding department (1,000
× $3.54) |
$3,540 |
|
|
Materials (1,000 × 1/2 × $0.70) |
350 |
|
|
Labor (1,000 × 1/2 × $1.80) |
900 |
|
|
Factory overhead (1,000 × 1/2 ×
$1.00) |
500 |
5,290 |
| |
-------- |
|
| Work in
process - ending inventory: |
|
|
|
Cost from preceding department
(9000 × $3.54) |
$31,860 |
|
|
Materials (9,000 × 0.70) |
6,300 |
|
|
Labor (9,000 × 2/3 × 1.80) |
10,800 |
|
|
Factory overhead (9,000 × 2/3 ×
1.00) |
6,000 |
54,960 |
|
-------- |
------- |
| Total cost
accounted for |
|
$412,250 |
|
|
====== |
|
|
|
Additional Computations
Equivalent Production:
Materials = 50,000 + 9,000 + 1,000/2 lost
units = 59,500 units
Labor and factory overhead = 50,000 + (9,000
× 2/3) + 1,000/2 lost units = 56,500
Unit Cost:
Materials = $41,650 / 59,500 = $0.70 per
unit Labor =
$101,700 / 56,500 = $1.80 per unit
Factory overhead = $56,500 / 56,500 = $1.00
per unit
The Sterling Company uses process
costing. In department B, conversion costs are incurred uniformly
throughout the process. Materials are added at the end of the process,
following inspection. Normal spoilage is expected to be 5% of good output.
The following information related to
department B for January:
| |
Units |
Dollars |
| Received from department
A |
12,000 |
$84,000 |
| Transferred to finished
goods |
9,000 |
|
| Ending inventory (70%
complete) |
2,000 |
|
| Cost incurred: |
|
|
|
Materials |
|
18,000 |
|
Labor and factory overhead |
|
45,600 |
| |
|
|
Required: Cost of Production
report for department B.
Solution:
The Sterling Company
Department B
Cost of Production Report
For the month of January
|
Quantity Schedule: |
|
|
| Units
received from preceding department |
|
12,000 |
| |
|
====== |
| Units
transferred to finished goods |
9,000 |
|
| Units still
in process |
2,000 |
|
|
Units lost in process (Normal
Spoilage 9000 × 5%) |
450 |
|
|
Units lost in process (Abnormal
Spoilage 1,000 - 450) |
550 |
12,000 |
| |
------- |
====== |
| Cost
Charged to the Department: |
Total Cost |
Unit Cost |
| Cost from
preceding department: |
|
|
|
Transferred in during the month
(12,000 units) |
$84,000 |
$7.00 |
| |
-------- |
------ |
| Cost
added by the department: |
|
|
|
Materials |
$18,000 |
$2.00 |
|
Labor and factory 0verhead |
$45,600 |
$4.00 |
| |
-------- |
------ |
| Total cost
added |
$63,600 |
$6.00 |
| |
-------- |
------ |
| Total cost
to be accounted for |
$147,600 |
$13.00 |
|
======= |
===== |
| Cost
Accounted for as Follows: |
|
|
| Transferred
to finished goods [(9,000 × $13)
+ (450* × $11)] |
|
$121,950 |
| Transferred
to Factory Overhead (550**
× $11) |
|
6,050 |
| Work in
process - ending inventory: |
|
|
|
Cost from preceding department
(2000 × $7.00) |
$14,000 |
|
|
Labor and factory overhead (2,000
× 70% × $4) |
5,600 |
19,600 |
|
-------- |
------- |
| Total cost
accounted for |
|
$147,600 |
|
|
====== |
*Normal
spoilage
**Abnormal
spoilage
Additional Computations
Equivalent Production:
Materials = 9,000 units
Labor and factory overhead = 9,000 + (2,000
× 70%) + 450 +
550 Unit Costs:
Materials = $18,000 / 9,000 = $2.00 per unit
Labor and factory overhead = $45,600 /
11,400 = $4.00 per unit
Hettinger Inc., uses process costing
system in its two producing departments. In department 2, inspection takes
place at the 96% stage of completion, after which materials are added to
good units. A spoilage rate of 3% of good output is considered
normal. Department 2 records for
April shows:
| Received from department
1 |
30,000
units |
|
cost |
$135,000 |
| Materials |
$12,500 |
| Conversion cost (labor +
factory overhead) |
$139,340 |
| Transferred to finished
goods |
25,000
units |
| Ending work in process
inventory (50% complete) |
4,200
units |
Required: Cost of production
report.
Solution:
The Sterling Company
Department B
Cost of Production Report
For the month of January
|
Quantity Schedule: |
|
|
| Units
received from preceding department |
|
30,000 |
| |
|
====== |
| Units
transferred to finished goods |
25,000 |
|
| Units still
in process (50% complete) |
4,200 |
|
|
Units lost in process (Normal
Spoilage 25,000 × 3%) |
750 |
|
|
Units lost in process (Abnormal
Spoilage 800 - 750) |
50 |
30,000 |
| |
------- |
====== |
| Cost
Charged to the Department: |
Total Cost |
Unit Cost |
| Cost from
preceding department: |
|
|
|
Transferred in during the month
(30,000 units) |
$135,000 |
$4.50 |
| |
-------- |
------ |
| Cost
added by the department: |
|
|
|
Materials |
$12,500 |
$0.50 |
|
Labor and factory 0verhead
(Conversion cost) |
$139,340 |
$5.00 |
| |
-------- |
------ |
| Total cost
added |
$151,840 |
$5.50 |
| |
-------- |
------ |
| Total cost
to be accounted for |
$286,840 |
$10.00 |
|
======= |
===== |
| Cost
Accounted for as Follows: |
|
|
|
Transferred to finished goods: |
|
|
| Cost of
completed units (25,000 × $10.00) |
$250,000 |
|
| Normal
spoilage - all related to units
transferred to finished goods: |
|
|
|
Cost from preceding department
(750 × $4.50) |
3,375 |
|
|
Conversion cost (720 × $5.00) |
3,600 |
$256,975 |
| |
-------- |
|
|
Transferred to Factory Overhead -
Abnormal spoilage: |
|
|
|
Cost from preceding department
(50 × $4.50) |
$225 |
|
|
Conversion cost
(48 × $5.00) |
240 |
465 |
| |
-------- |
|
| Work in
process - ending inventory: |
|
|
|
Cost from preceding department
(4,200 × $4.50) |
$18,900 |
|
|
Labor and factory overhead (2,100
× $5) |
10,500 |
29,400 |
|
-------- |
------- |
| Total cost
accounted for |
|
$286,840 |
|
|
====== |
|
|
|
Additional Computations
Equivalent Production:
Materials = 25,000 units
Labor and factory overhead = 25,000 + (42,00
× 50%) + (750 × 96%) + (50 × 96%)
= 27,888 units
Unit Costs:
Materials = $12,500 / 25,000 = $.50 per unit
Labor and factory overhead = $139,340 /
27,888 = $5.00 per unit
Pietra - Gonatas, Inc. uses process costing
to account for the costs of its only product, product D. Production takes
place in three departments; Fabrication, Assembly, and Packaging.
At the end of the fiscal year, June 30, the
following inventory of product D is on hand:
- No unused raw materials or packaging
materials.
- Fabrication department: 300 units, 1/3
complete as to raw materials and 1/2 complete as to direct labor
- Assembly department: 1,000 units, 2/5
complete as to direct labor.
- Packaging department: 100 units, 3/4
complete as to packaging materials and 1/4 complete as to direct labor.
- Shipping for finished goods are: 400
units.
Required:
- The number of equivalent units of raw
materials in all inventories at June 30.
- The number of equivalent units of the
fabrication department's direct labor in all inventories at June 30
- The number of equivalent units of
packaging materials in all inventories at June 30.
Solution:
| (1)
|
|
Equivalent units of
raw materials
in all inventories, June 30, 19__ |
|
|
Fabrication department (300 ×
1/3) |
100 |
|
Assembly department |
1,000 |
|
Packaging department |
100 |
|
Shipping area |
400 |
| |
-------- |
| |
1,600 |
| |
======= |
| (2) |
|
| Equivalent units of
Fabrication department's direct labor in all inventories, Jun 30,
19___ |
|
|
Fabrication department (300 ×
1/3) |
150 |
|
Assembly department |
1,000 |
|
Packaging department |
100 |
|
Shipping area |
400 |
| |
--------- |
| |
1,650 |
| |
======= |
| |
|
| (3) |
|
| Equivalent units of
packaging materials in all inventories, June 30, 19___ |
|
|
Packaging department (300 ×
4/3) |
75 |
|
Shipping area |
400 |
| |
------- |
| |
475 |
| |
====== |
|