Cost Accounting, Chapter 9 11ch09

Inventory Costing
and Capacity
Analysis
Chapter 9

©2003 Prentice Hall Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster

9-1

Learning Objective 1
Identify what distinguishes
variable costing from
absorption costing.

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9-2

Inventory-Costing Methods

The difference between variable costing

and absorption costing is based on the
treatment of fixed manufacturing overhead.

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9-3

Variable Costing
Direct
Materials

Variable
Factory
Labor

Variable
Overhead

Work in Process Inventory
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9-4

Variable Costing
Work in Process
Inventory

Finished Goods
Inventory

Fixed Factory
Labor

Cost of Goods Sold

Income Summary
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9-5


Learning Objective 2
Prepare income statements
under absorption costing
and variable costing.

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9-6

Comparing Income Statements
The following data pertain to Davenport Fixtures:
Year 1
Beginning inventory
-0Produced
10,000
Sold
8,000
Ending inventory
2,000


Year 2
2,000
11,500
13,000
500

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Total
-021,500
21,000
500
9-7

Comparing Income Statements
The following information is on a per unit basis:
Sales price:

$71.00


Variable manufacturing costs:
Direct materials:
Direct manufacturing labor:
Indirect manufacturing costs:

$ 4.00
$21.00
$24.00

Fixed manufacturing costs:

$ 4.50

©2003 Prentice Hall Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster

9-8

Comparing Income Statements
(Absorption Costing)
Total fixed production costs are $54,000

at a normal capacity of 12,000 units.
Fixed nonmanufacturing costs are
$30,000 per year.
Variable nonmanufacturing costs are
$2.00 per unit sold.
©2003 Prentice Hall Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster

9-9

Comparing Income Statements
(Absorption Costing)
Revenues
Cost of goods sold
Volume variance (U)
Gross margin
Nonmanufacturing costs
Operating income

$568,000
428,000

9,000
$131,000
46,000
$ 85,000

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9 - 10

Comparing Income Statements
(Absorption Costing)
Revenues for Year 1 are $568,000.
What is the cost of goods sold?
8,000 × $49 = $392,000
What is the manufacturing contribution margin?
$568,000 – $392,000 = $176,000
Net contribution margin = $160,000
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9 - 11


Comparing Income Statements
(Variable Costing)
Revenues
Cost of goods sold
Variable nonmanufacturing costs
Contribution margin
Fixed manufacturing costs
Fixed nonmanufacturing costs
Operating income

$568,000
392,000
16,000
$160,000
54,000
30,000
$ 76,000

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9 - 12

Learning Objective 3
Explain differences in operating
income under absorption
costing and variable costing.

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9 - 13

Operating Income
(Absorption Costing)
What are revenues for Year 2?
13,000 × $71 = $923,000
What is the cost of goods sold?
13,000 × $53.50 = $695,500
Is there a volume variance?
(12,000 – 11,500) × $4.50 = $2,250

underallocated fixed manufacturing costs
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9 - 14

Operating Income
(Absorption Costing)
What is the gross margin?
$923,000 – ($695,500 + $2,250) = $225,250
What are the nonmanufacturing costs?
13,000 units sold × $2.00 = $26,000
variable costs + $30,000 fixed costs = $56,000

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9 - 15

Operating Income
(Absorption Costing)
What is the operating income before taxes?

$225,250 – $56,000 = $169,250
What is the operating income for the
two years combined?
$85,000 + $169,250 = $254,250

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9 - 16

Income Statements
(Absorption Costing)
Revenues
Cost of goods sold
Volume variance (U)
Gross margin
Nonmfg. costs
Operating income

Year 1
Year 2 Combined
$568,000 $923,000 $1,491,000
428,000 695,500 1,123,500
9,000
2,250
11,250
$131,000 $225,250 $ 356,250
46,000
56,000
102,000
$ 85,000 $169,250 $ 254,250

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9 - 17

Operating Income
(Variable Costing)
Revenues for Year 2 are $923,000.
What is the cost of goods sold?
13,000 × $49 = $637,000
What is the manufacturing contribution margin?
$923,000 – $637,000 = $286,000
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9 - 18

Operating Income
(Variable Costing)
What is the net contribution margin?
$286,000 – $26,000 variable nonmanufacturing costs
= $260,000 net contribution margin
What is the operating income before taxes?
$260,000 – $54,000 fixed manufacturing costs
– $30,000 fixed nonmanufacturing costs = $176,000
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9 - 19

Income Statements
(Variable Costing)
Revenues
Cost of goods sold
Mfg. contr. margin
Variable nonmfg.
Net contr. margin

Year 1
$568,000
392,000
$176,000
16,000
$160,000

Year 2
$923,000
637,000
$286,000
26,000
$260,000

©2003 Prentice Hall Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster

Combined
$1,491,000
1,029,000
$ 462,000
42,000
$ 420,000

9 - 20

Income Statements
(Variable Costing)
Year 1
Net contr. margin
$160,000
Fixed mfg. costs
54,000
Fixed nonmfg. costs
30,000
Operating income $ 76,000

Year 2
$260,000
54,000
30,000
$176,000

©2003 Prentice Hall Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster

Combined
$420,000
108,000
60,000
$252,000

9 - 21

Comparison of Variable
and Absorption Costing
Variable costing operating income Year 1: $76,000
Absorption costing operating income Year 1: $85,000
Absorption costing operating income is $9,000 higher.
Why?

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9 - 22

Comparison of Variable
and Absorption Costing
Production exceeds sales in Year 1.
The 2,000 units in ending inventory
are valued as follows:
Absorption costing: 2,000 × $53.50 = $107,000
Variable costing:
Difference:

2,000 × $49.00 = $ 98,000
$

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9,000
9 - 23

Comparison of Variable
and Absorption Costing
Variable costing operating income Year 2: $176,000
Absorption costing operating income Year 2: $169,250
Variable costing operating income is $6,750 higher.
Why?

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9 - 24

Comparison of Variable
and Absorption Costing
Sales exceeded units produced in Year 2.
13,000 – 11,500 = 1,500 decrease in inventory
Absorption costing: 1,500 × $53.50 = $80,250
Variable costing:

1,500 × $49.00 = $73,500

Higher cost of goods sold under
absorption costing:

$ 6,750

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9 - 25

Comparison of Variable
and Absorption Costing
Variable costing combined net income:

$252,000

Absorption costing combined net income: $254,250
Absorption costing is higher by

$2,250

500 units in inventory × $4.50 = $2,250

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9 - 26

Comparison of Variable
and Absorption Costing
Absorption costing
operating income

Variable costing
operating income



EQUALS
Fixed manufacturing
costs in ending
inventory under
absorption costing



Fixed manufacturing
costs in beginning
inventory under
absorption costing

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9 - 27

Learning Objective 4
Understand how absorption
costing can provide undesirable
incentives for managers to
build up finished goods inventory.
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9 - 28

Inventory Buildup
Assume that Davenport Fixtures produced
4,400 units in Year 1 and sold 4,100.
What is the production volume variance?
(12,000 – 4,400) × $4.50 = $34,200 U
What is the net operating income or loss
for the period?
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9 - 29

Inventory Buildup
Revenues (4,100 × $71)
Cost of goods sold (4,100 × $53.50)
Volume variance
Gross margin
Nonmanufacturing costs
Net loss

$291,100
219,350
34,200
$ 37,550
38,200
$
650

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9 - 30

Inventory Buildup
How many units are in ending inventory?
4,400 – 4,100 = 300
How much cost is in ending inventory?
300 × $53.50 = $16,050

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9 - 31

Inventory Buildup
Suppose that management decides to
produce 9,000 units next year.
Sales remain the same (4,100 units).
What is the volume variance?
(12,000 – 9,000) × $4.50 = $13,500 U
What is the operating income or loss?
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9 - 32

Inventory Buildup
Revenues (4,100 × $71)
Cost of goods sold (4,100 × $53.50)
Volume variance
Gross margin
Nonmanufacturing costs
Net income

$291,100
219,350
13,500
$ 58,250
38,200
$ 20,050

©2003 Prentice Hall Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster

9 - 33

Inventory Buildup
How many units are in ending inventory?
300 + 9,000 – 4,100 = 5,200
How much cost is in ending inventory?
5,200 × $53.50 = $278,200

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9 - 34

Learning Objective 5
Differentiate throughput
costing from variable costing
and absorption costing.

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9 - 35

Throughput Costing
Revenues
Variable direct materials
cost of goods sold
Throughput contribution margin
Manufacturing costs
Nonmanufacturing costs
Operating loss

$568,000
32,000
$536,000
504,000
46,000
$ 14,000

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9 - 36

Throughput Costing
Manufacturing Costs:
Labor $21.00 × 10,000
$210,000
Indirect costs $24.00 × 10,000
240,000
Fixed costs
54,000
Total manufacturing costs
$504,000
What are other nonmanufacturing costs for the year?
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9 - 37

Throughput Costing
Nonmanufacturing Costs:
Variable $2.00 × 8,000
$16,000
Fixed
30,000
Total
$46,000

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9 - 38

Throughput Costing
Variable costing operating income:
$76,000
Throughput costing operating loss:
$14,000
Difference in operating income: $90,000
How can this difference be explained?

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9 - 39

Throughput Costing
The 2,000 units in ending inventory
are valued as follows:
Variable
2,000 × $49 = $98,000

Throughput
2,000 × $4 = $8,000

$90,000 difference
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9 - 40

Throughput Costing
Absorption costing operating income: $85,000
Throughput costing operating loss:
$14,000
Difference in operating income: $99,000
How can this difference be explained?

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9 - 41

Throughput Costing
The 2,000 units in ending inventory
are valued as follows:
Absorption
2,000 × $53.50 =
$107,000

Throughput
2,000 × $4
= $8,000

$99,000 difference
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9 - 42

Comparison of Inventory
Costing Methods
Actual
Actual Costing
Costing

Variable
Variable
Costing
Costing

Absorption
Absorption
Costing
Costing

Throughput
Throughput
Costing
Costing

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9 - 43

Comparison of Inventory
Costing Methods
Normal
Normal Costing
Costing

Variable
Variable
Costing
Costing

Absorption
Absorption
Costing
Costing

Throughput
Throughput
Costing
Costing

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9 - 44

Comparison of Inventory
Costing Methods
Standard
Standard Costing
Costing

Variable
Variable
Costing
Costing

Absorption
Absorption
Costing
Costing

Throughput
Throughput
Costing
Costing

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9 - 45

Learning Objective 6
Describe the various
capacity concepts
that can be used in
absorption costing.
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9 - 46

Alternative Denominator-Level
Concepts
Theoretical capacity
Practical capacity
Normal capacity
Master-budget capacity
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9 - 47

Budgeted Fixed Manufacturing
Overhead Rate
Lloyd’s Bicycles produces bicycle parts
for domestic and foreign markets.
Fixed overhead costs are $200,000 within the
relevant range of the various capacity volume.

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9 - 48

Budgeted Fixed Manufacturing
Overhead Rate
Assume that the theoretical capacity is
10,000 machine-hours, practical capacity
is 85%, normal capacity is 75%, and
master-budget capacity is 60%.
What is the budgeted fixed manufacturing
overhead rate at the various capacity levels?
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9 - 49

Budgeted Fixed Manufacturing
Overhead Rate
Theoretical 100%:
$200,000 ÷ 10,000 = $20.00/machine-hour
Practical 85%:
$200,000 ÷ 8,500 = $23.53/machine-hour
Normal 75%:
$200,000 ÷ 7,500 = $26.67/machine-hour
Master-budget 60%:
$200,000 ÷ 6,000 = $33.33/machine-hour
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9 - 50

Learning Objective 7
Understand the major factors
management considers in choosing
a capacity level to compute the
budgeted fixed overhead cost rate.
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9 - 51

Choosing a Capacity Level
What factors are considered
in choosing a capacity level?
Product
costing

Pricing
decision

Performance
evaluation

Financial
statements

Regulatory
requirements

Difficulty

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9 - 52

Decision Making
Assume that Lloyd’s Bicycles’ standard
hours are 2 hours per unit.
What is the budgeted fixed manufacturing
overhead cost per unit?

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9 - 53

Decision Making
Theoretical capacity: $20 × 2 = $40.00
Practical capacity: $23.53 × 2 = $47.06
Normal capacity: $26.67 × 2 = $53.34
Master-budget capacity: $33.33 × 2 = $66.66
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9 - 54

Learning Objective 8
Describe how attempts to
recover fixed costs of capacity
may lead to price increases
and lower demand.
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9 - 55

Downward Demand Spiral

The downward demand spiral is the continuing
reduction in demand that occurs when the prices
of competitors are not met and demand drops.

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9 - 56

Learning Objective 9
Explain how the capacity
level chosen to calculate
the budgeted fixed overhead
cost rate affects the
production-volume variance.
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9 - 57

Effect on Financial Statements
Assume that Lloyd’s Bicycles actually used
8,400 machine-hours during the year.
What is the production volume variance?

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9 - 58

Production Volume Variance
Production volume variance
= (Denominator level – Actual level)
× Budgeted fixed manufacturing overhead rate
Theoretical capacity:
(10,000 – 8,400) × $20.00 = $32,000 U
Practical capacity:
(8,500 – 8,400) × $23.53 = $2,353 U
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9 - 59

Production Volume Variance
Normal capacity:
(7,500 – 8,400) × $26.67 = $24,003
Master-budget capacity:
(6,000 – 8,400) × $33.33 = $79,992

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9 - 60

End of Chapter 9

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9 - 61