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Chapter Two

Cost Behaviour, Cost
Estimation, and Product
Costing

Jul 2006 MAF

1
Chapter Outline









Introduction
Classification of costs
Determining product and service costs
Cost estimation methods
Data collection problems
Conclusion

Jul 2006 MAF

2
What Do We Mean By a Cost?

A Cost
is the measure of
resources given
up to achieve a
particular purpose.

Jul 2006 MAF

3
Why Do We Need the information?

To assist managers in planning,
controlling and decision making
e.g. Naza Motors need to decide on
the selling price of the Naza Sutera
– require the total production costs
of the model

Jul 2006 MAF

4
Cost Objects


A cost object is something for which a company wants to know
the cost. It may be a product, service, customer, department
and so on, for which costs are measured and assigned.



E.g. To know the cost of its Bachelor of Accounting
programme, then the Bachelor of Accounting programme is the
cost object.



All costs related to the Bachelor of Accounting programme are
accumulated and assigned to the cost object, such as the cost
of the salaries of lecturers teaching in the programme, the cost
of printing brochures on the programme, the cost of salaries of
administrative staff servicing the programme, and so on.

Jul 2006 MAF

5
Cost terms and classifications
Fixed and Variable
Direct vs Indirect
Product vs Period
Manufacturing vs Non-manufacturing
Opportunity cost
Sunk cost
Prime costs
Conversion costs
Jul 2006 MAF

6
Cost Classifications
Cost behavior means
how a cost will react
to changes in the
level of business
activity.




Jul 2006 MAF

Total variable costs change
when activity changes.
Total fixed costs remain
unchanged when activity
changes.

7
Variable Costs (a)total (b) per unit

Paper
Costs

Paper
Costs

No. of students
(a)

Jul 2006 MAF

No. of students
(b)

8
Fixed Costs (a) Total (b) Per unit

Professor’s
salary (RM)

Professor’s
salary (RM)

No. of students

(a)

Jul 2006 MAF

No. of students
(b)

9
Cost Classifications

Summary of Variable and Fixed Cost Behavior
Cost

In Total

Per Unit

Variable

Total variable cost changes
as activity level changes.

Variable cost per unit
remains the same over
wide ranges of activity.

Total fixed cost remains
the same even when the
activity level changes.

Fixed cost per unit
goes down as activity
level goes up.

Fixed

Jul 2006 MAF

10
Semi variable



Some costs are neither
fixed nor variable but a
little bit of both.
 A semivariable cost is
partly fixed and partly

variable

Jul 2006 MAF

.

Consider the
following electric
utility example.
11
Total Utility Cost

Semivariable(mixed) Cost
Slope is
variable cost
per unit
of activity.
Variable
Utility Charge
Fixed Monthly
Utility Charge
Activity (Kilowatt Hours)
Jul 2006 MAF

12
Semi fixed or step fixed costs


Within a given time period and within specific
activity level, they are fixed, but that
eventually increase or decrease by a constant
amount at various critical activity levels

Supervisor’s Salary
Jul 2006 MAF

Output

13
Step-variable Cost

Total Cost

Nearly variable but
increases in small
steps instead of
continously.

e.g. part time
employees called upon
for relatively small
increments of time such
as few hours (delivery
truck drivers of a
bakery )

Activity (Hours)
Jul 2006 MAF

14
Product Costs, and Period Costs
Product costs are costs associated with
goods for sale until the time period during
which the products are sold, at which time the
costs become expenses. e.g. costs of raw
materials

Period costs are costs that are expensed
during the time period in which they are
incurred. Includes all non manufacturing costs
e.g. salary of clerks
Jul 2006 MAF

15
Cost Classifications on Financial
Statements – Income Statement
Product Costs

Cost of goods sold

Jul 2006 MAF

Period Costs

Operating expenses

16
Direct and Indirect Costs
Direct costs

Indirect costs



Costs that can be
easily and
conveniently traced to
a product or
department.



Costs that must be
allocated in order to
be assigned to a
product or
department.



example: cost of paint
in the paint
department of an
automobile assembly
plant.



example: cost of
national advertising
for an airline is
indirect to a particular
flight.

Jul 2006 MAF

17
Manufacturing Costs
Direct
Labor

Direct
Material

Manufacturing
Overhead

The
Product
Jul 2006 MAF

18
Manufacturing Companies
There are 3 major categories of
manufacturing costs:

Direct Materials
resources that
can be feasibly
observed being
used to make a
specific product.
Jul 2006 MAF

Direct Labor
The cost of
paying
employees who
convert direct
materials into
finished product.

Manufacturing
Overhead
Indirect material
Indirect labor
Other overhead
19
Direct Material
Cost of raw material that is used to
make, and can be conveniently
traced, to the finished product.
Example:
Steel used to
manufacture
the automobile.

Jul 2006 MAF

20
Direct Labor
Cost of salaries, wages, and fringe
benefits for personnel who work
directly on manufactured products.
Example:
Wages paid to an
automobile assembly
worker.

Jul 2006 MAF

21
Committed Costs

Fixed costs that have been incurred to
provide facilities to enable firms to
produce its products.
e.g.: space, equipment, factory buildings

Jul 2006 MAF

22
Discretionary costs
Costs that are decided by management
Sometimes called “managed costs”
e.g.: advertising, repairs, research and
development expenses
May be changed when company is
experiencing a difficult time
Jul 2006 MAF

23
Opportunity Cost
The potential benefit that
is given up when one
alternative is selected
over another.


Jul 2006 MAF

Example: If you were
not attending college,
you could be earning
$60,000 per year.
Your opportunity cost
of attending college for one
year is $60,000.
24
Sunk Costs
All costs incurred in the past that cannot be changed
by any decision made now or in the future are sunk
costs.
Sunk costs should not be considered in decisions.


Example: You bought an automobile that cost $72,000
two years ago. The $72,000 cost is sunk because
whether you drive it, park it, trade it, or sell it, you
cannot change the $72,000 cost.

Jul 2006 MAF

25
Cost estimation, cost behaviour and
cost prediction
Cost
estimation

Cost
behavior

Cost
prediction

Process of
determining
cost behavior,
often focusing
on historical
data.

Relationship
between
cost and
activity.

Using knowledge
of cost behavior
to forecast
level of cost at
a particular
activity. Focus
is on the future.

Jul 2006 MAF

26
Assumptions in Cost-Behavior
Estimation
Changes in total costs can be explained by
changes in the level of a single activity.
Cost behavior can adequately be
approximated by a linear function of the
activity level within the relevant range.
Using equation TC = TFC + TVC
TC = TFC + VC per unit x Q (Q = activity level)
Jul 2006 MAF

27
Cost Estimation Methods
Account classification method
 Conference method
 Industrial engineering method
 Visual fit method
 High low method
 Least squares regression method
 Multiple regression


Jul 2006 MAF

28
Cost Estimation Approaches

These methods differ in terms of:
The costs of undertaking the analysis
 The assumptions they make
 The accuracy of the estimated cost


Jul 2006 MAF

29
Account classification method
Estimates cost by classifying cost
accounts in the subsidiary ledger as
variable, fixed or mixed with respect to
the identified level of activity
 Use qualitative analysis when making
cost classifications


Jul 2006 MAF

30
Account Classification Method
Example

Account
Indirect Labor
Indirect Material
Depreciation
Property Taxes
Insurance
Utilities
Maintenance
Totals

Jul 2006 MAF

Overhead
Total
Cost
$
450
700
1,000
200
300
400
600
$ 3,650

Costs for 1,000 Units
Variable
Fixed
Cost
Cost
$
450
700
1,000
200
300
350
50
500
100
$ 2,000
$ 1,650

31
Conference Method


Estimates cost functions on the basis of
ANALYSIS and OPINIONS about costs
and their drivers gathered from various
departments of a company (e.g.
purchasing dept, process engineering,
production dept and so on)

Jul 2006 MAF

32
Industrial Engineering Method



Also known as work measurement method
Estimates cost functions by analyzing the
relationship between inputs and outputs in
physical terms
 e.g. carpet manufacturer use INPUTS –
cotton, wool, dyes, direct labor, machine time,
power to produce OUTPUT- square yards of
carpet
 TIME AND MOTION STUDY may conclude
that to produce 10 square yards require 1
hour of direct labor
Jul 2006 MAF

33
Quantitative Analysis Method
Uses a formal mathematical method to
fit cost functions to past data
observations
 Visual fit method
 High low method – the simplest
method
 Regression analysis – simple and
multiple regression


Jul 2006 MAF

34
Visual-Fit Method

Total Cost in
1,000’s of Dollars

Plot the data points on a
graph (total cost vs. activity).
20

10

* *
* *

* ** *
**

0
0
1
2
3
4
Activity, 1,000’s of Units Produced
Jul 2006 MAF

35
Visual-Fit Method

Total Cost in
1,000’s of Dollars

Draw a line through the plotted data points so that about
equal numbers of points fall above and below the line

20

10

* *
* *

* ** *
**

0
0
1
2
3
4
Activity, 1,000’s of Units Produced
Jul 2006 MAF

36
Visual-Fit Method

Total Cost in
1,000’s of Dollars

Total variable cost = Total cost – Total fixed cost
Total variable cost = $16,000 – $10,000 = $6,000
Unit variable cost = $6,000 ÷ 3,000 units = $2

Estimated fixed cost =
$10,000

20

* ** *
Vertical distance
**
is total cost,

* *
* *

10

approximately
$16,000.

0
0

1

2

3

4

Activity, 1,000’s of Units Produced
Jul 2006 MAF

37
The High-Low Method
MiraCo recorded the following production
activity and maintenance costs for two
months:
High activity level
Low activity level
Change

Units
9,000
5,000
4,000

Cost
$ 9,700
6,100
$ 3,600

Using these two levels of activity, compute:
 the variable cost per unit.

 the total fixed cost.
Jul 2006 MAF

38
The High-Low Method
High activity level
Low activity level
Change

Jul 2006 MAF

Units
9,000
5,000
4,000

Cost
$ 9,700
6,100
$ 3,600

39
The High-Low Method
Question 1
If sales commissions are $10,000 when 80,000
units are sold and $14,000 when 120,000 units
are sold, what is the variable portion of sales
commission per unit sold?
a.
b.
c.
d.
Jul 2006 MAF

$.08 per unit
$.10 per unit
$.12 per unit
$.125 per unit
40
The High-Low Method
Question 2
If sales commissions are $10,000 when 80,000
units are sold and $14,000 when 120,000 units
are sold, what is the fixed portion of the sales
commission?
a.
b.
c.
d.
Jul 2006 MAF

$ 2,000
$ 4,000
$10,000
$12,000
41
Least-Squares Regression
Method


Statistics courses and
computer courses deal
with detailed regression
computations using
computer spreadsheet
software.
 Accountants and
managers must be able
to interpret and use
regression estimates.
Jul 2006 MAF

42
Regression Analysis

The regression equation and regression line
are derived using the least-squares technique.
The objective of least-squares is to develop
estimates of the parameters a and b.

Jul 2006 MAF

43
Least-Squares Regression
Method
Regression is a statistical procedure used
to determine the relationship between
variables such as activity and cost.
Total Cost

The objective of
the regression
method is the
general cost equation:
Y = a + bX
in cost terms
TC = F + VX

Jul 2006 MAF

Activity

44
Data collection problems






Missing data
Outliers
Allocated and discretionary costs
Inflation
Mismatched time periods
All cost-estimation methods are based on
simplifying assumptions so that the benefits of
use outweigh the costs of data collection and
manipulation.

Jul 2006 MAF

45
End of Chapter 2

Jul 2006 MAF

46

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Chapter2 -cost_estimation_umy_sep2011

  • 1. Chapter Two Cost Behaviour, Cost Estimation, and Product Costing Jul 2006 MAF 1
  • 2. Chapter Outline       Introduction Classification of costs Determining product and service costs Cost estimation methods Data collection problems Conclusion Jul 2006 MAF 2
  • 3. What Do We Mean By a Cost? A Cost is the measure of resources given up to achieve a particular purpose. Jul 2006 MAF 3
  • 4. Why Do We Need the information? To assist managers in planning, controlling and decision making e.g. Naza Motors need to decide on the selling price of the Naza Sutera – require the total production costs of the model Jul 2006 MAF 4
  • 5. Cost Objects  A cost object is something for which a company wants to know the cost. It may be a product, service, customer, department and so on, for which costs are measured and assigned.  E.g. To know the cost of its Bachelor of Accounting programme, then the Bachelor of Accounting programme is the cost object.  All costs related to the Bachelor of Accounting programme are accumulated and assigned to the cost object, such as the cost of the salaries of lecturers teaching in the programme, the cost of printing brochures on the programme, the cost of salaries of administrative staff servicing the programme, and so on. Jul 2006 MAF 5
  • 6. Cost terms and classifications Fixed and Variable Direct vs Indirect Product vs Period Manufacturing vs Non-manufacturing Opportunity cost Sunk cost Prime costs Conversion costs Jul 2006 MAF 6
  • 7. Cost Classifications Cost behavior means how a cost will react to changes in the level of business activity.   Jul 2006 MAF Total variable costs change when activity changes. Total fixed costs remain unchanged when activity changes. 7
  • 8. Variable Costs (a)total (b) per unit Paper Costs Paper Costs No. of students (a) Jul 2006 MAF No. of students (b) 8
  • 9. Fixed Costs (a) Total (b) Per unit Professor’s salary (RM) Professor’s salary (RM) No. of students (a) Jul 2006 MAF No. of students (b) 9
  • 10. Cost Classifications Summary of Variable and Fixed Cost Behavior Cost In Total Per Unit Variable Total variable cost changes as activity level changes. Variable cost per unit remains the same over wide ranges of activity. Total fixed cost remains the same even when the activity level changes. Fixed cost per unit goes down as activity level goes up. Fixed Jul 2006 MAF 10
  • 11. Semi variable  Some costs are neither fixed nor variable but a little bit of both.  A semivariable cost is partly fixed and partly variable Jul 2006 MAF . Consider the following electric utility example. 11
  • 12. Total Utility Cost Semivariable(mixed) Cost Slope is variable cost per unit of activity. Variable Utility Charge Fixed Monthly Utility Charge Activity (Kilowatt Hours) Jul 2006 MAF 12
  • 13. Semi fixed or step fixed costs  Within a given time period and within specific activity level, they are fixed, but that eventually increase or decrease by a constant amount at various critical activity levels Supervisor’s Salary Jul 2006 MAF Output 13
  • 14. Step-variable Cost Total Cost Nearly variable but increases in small steps instead of continously. e.g. part time employees called upon for relatively small increments of time such as few hours (delivery truck drivers of a bakery ) Activity (Hours) Jul 2006 MAF 14
  • 15. Product Costs, and Period Costs Product costs are costs associated with goods for sale until the time period during which the products are sold, at which time the costs become expenses. e.g. costs of raw materials Period costs are costs that are expensed during the time period in which they are incurred. Includes all non manufacturing costs e.g. salary of clerks Jul 2006 MAF 15
  • 16. Cost Classifications on Financial Statements – Income Statement Product Costs Cost of goods sold Jul 2006 MAF Period Costs Operating expenses 16
  • 17. Direct and Indirect Costs Direct costs Indirect costs  Costs that can be easily and conveniently traced to a product or department.  Costs that must be allocated in order to be assigned to a product or department.  example: cost of paint in the paint department of an automobile assembly plant.  example: cost of national advertising for an airline is indirect to a particular flight. Jul 2006 MAF 17
  • 19. Manufacturing Companies There are 3 major categories of manufacturing costs: Direct Materials resources that can be feasibly observed being used to make a specific product. Jul 2006 MAF Direct Labor The cost of paying employees who convert direct materials into finished product. Manufacturing Overhead Indirect material Indirect labor Other overhead 19
  • 20. Direct Material Cost of raw material that is used to make, and can be conveniently traced, to the finished product. Example: Steel used to manufacture the automobile. Jul 2006 MAF 20
  • 21. Direct Labor Cost of salaries, wages, and fringe benefits for personnel who work directly on manufactured products. Example: Wages paid to an automobile assembly worker. Jul 2006 MAF 21
  • 22. Committed Costs Fixed costs that have been incurred to provide facilities to enable firms to produce its products. e.g.: space, equipment, factory buildings Jul 2006 MAF 22
  • 23. Discretionary costs Costs that are decided by management Sometimes called “managed costs” e.g.: advertising, repairs, research and development expenses May be changed when company is experiencing a difficult time Jul 2006 MAF 23
  • 24. Opportunity Cost The potential benefit that is given up when one alternative is selected over another.  Jul 2006 MAF Example: If you were not attending college, you could be earning $60,000 per year. Your opportunity cost of attending college for one year is $60,000. 24
  • 25. Sunk Costs All costs incurred in the past that cannot be changed by any decision made now or in the future are sunk costs. Sunk costs should not be considered in decisions.  Example: You bought an automobile that cost $72,000 two years ago. The $72,000 cost is sunk because whether you drive it, park it, trade it, or sell it, you cannot change the $72,000 cost. Jul 2006 MAF 25
  • 26. Cost estimation, cost behaviour and cost prediction Cost estimation Cost behavior Cost prediction Process of determining cost behavior, often focusing on historical data. Relationship between cost and activity. Using knowledge of cost behavior to forecast level of cost at a particular activity. Focus is on the future. Jul 2006 MAF 26
  • 27. Assumptions in Cost-Behavior Estimation Changes in total costs can be explained by changes in the level of a single activity. Cost behavior can adequately be approximated by a linear function of the activity level within the relevant range. Using equation TC = TFC + TVC TC = TFC + VC per unit x Q (Q = activity level) Jul 2006 MAF 27
  • 28. Cost Estimation Methods Account classification method  Conference method  Industrial engineering method  Visual fit method  High low method  Least squares regression method  Multiple regression  Jul 2006 MAF 28
  • 29. Cost Estimation Approaches These methods differ in terms of: The costs of undertaking the analysis  The assumptions they make  The accuracy of the estimated cost  Jul 2006 MAF 29
  • 30. Account classification method Estimates cost by classifying cost accounts in the subsidiary ledger as variable, fixed or mixed with respect to the identified level of activity  Use qualitative analysis when making cost classifications  Jul 2006 MAF 30
  • 31. Account Classification Method Example Account Indirect Labor Indirect Material Depreciation Property Taxes Insurance Utilities Maintenance Totals Jul 2006 MAF Overhead Total Cost $ 450 700 1,000 200 300 400 600 $ 3,650 Costs for 1,000 Units Variable Fixed Cost Cost $ 450 700 1,000 200 300 350 50 500 100 $ 2,000 $ 1,650 31
  • 32. Conference Method  Estimates cost functions on the basis of ANALYSIS and OPINIONS about costs and their drivers gathered from various departments of a company (e.g. purchasing dept, process engineering, production dept and so on) Jul 2006 MAF 32
  • 33. Industrial Engineering Method   Also known as work measurement method Estimates cost functions by analyzing the relationship between inputs and outputs in physical terms  e.g. carpet manufacturer use INPUTS – cotton, wool, dyes, direct labor, machine time, power to produce OUTPUT- square yards of carpet  TIME AND MOTION STUDY may conclude that to produce 10 square yards require 1 hour of direct labor Jul 2006 MAF 33
  • 34. Quantitative Analysis Method Uses a formal mathematical method to fit cost functions to past data observations  Visual fit method  High low method – the simplest method  Regression analysis – simple and multiple regression  Jul 2006 MAF 34
  • 35. Visual-Fit Method Total Cost in 1,000’s of Dollars Plot the data points on a graph (total cost vs. activity). 20 10 * * * * * ** * ** 0 0 1 2 3 4 Activity, 1,000’s of Units Produced Jul 2006 MAF 35
  • 36. Visual-Fit Method Total Cost in 1,000’s of Dollars Draw a line through the plotted data points so that about equal numbers of points fall above and below the line 20 10 * * * * * ** * ** 0 0 1 2 3 4 Activity, 1,000’s of Units Produced Jul 2006 MAF 36
  • 37. Visual-Fit Method Total Cost in 1,000’s of Dollars Total variable cost = Total cost – Total fixed cost Total variable cost = $16,000 – $10,000 = $6,000 Unit variable cost = $6,000 ÷ 3,000 units = $2 Estimated fixed cost = $10,000 20 * ** * Vertical distance ** is total cost, * * * * 10 approximately $16,000. 0 0 1 2 3 4 Activity, 1,000’s of Units Produced Jul 2006 MAF 37
  • 38. The High-Low Method MiraCo recorded the following production activity and maintenance costs for two months: High activity level Low activity level Change Units 9,000 5,000 4,000 Cost $ 9,700 6,100 $ 3,600 Using these two levels of activity, compute:  the variable cost per unit.  the total fixed cost. Jul 2006 MAF 38
  • 39. The High-Low Method High activity level Low activity level Change Jul 2006 MAF Units 9,000 5,000 4,000 Cost $ 9,700 6,100 $ 3,600 39
  • 40. The High-Low Method Question 1 If sales commissions are $10,000 when 80,000 units are sold and $14,000 when 120,000 units are sold, what is the variable portion of sales commission per unit sold? a. b. c. d. Jul 2006 MAF $.08 per unit $.10 per unit $.12 per unit $.125 per unit 40
  • 41. The High-Low Method Question 2 If sales commissions are $10,000 when 80,000 units are sold and $14,000 when 120,000 units are sold, what is the fixed portion of the sales commission? a. b. c. d. Jul 2006 MAF $ 2,000 $ 4,000 $10,000 $12,000 41
  • 42. Least-Squares Regression Method  Statistics courses and computer courses deal with detailed regression computations using computer spreadsheet software.  Accountants and managers must be able to interpret and use regression estimates. Jul 2006 MAF 42
  • 43. Regression Analysis The regression equation and regression line are derived using the least-squares technique. The objective of least-squares is to develop estimates of the parameters a and b. Jul 2006 MAF 43
  • 44. Least-Squares Regression Method Regression is a statistical procedure used to determine the relationship between variables such as activity and cost. Total Cost The objective of the regression method is the general cost equation: Y = a + bX in cost terms TC = F + VX Jul 2006 MAF Activity 44
  • 45. Data collection problems      Missing data Outliers Allocated and discretionary costs Inflation Mismatched time periods All cost-estimation methods are based on simplifying assumptions so that the benefits of use outweigh the costs of data collection and manipulation. Jul 2006 MAF 45
  • 46. End of Chapter 2 Jul 2006 MAF 46