Prepared by
Debby Bloom-Hill
CMA, CFM
CHAPTER 4
Cost-Volume-Profit Analysis
Slide 4-2
Management Questions
Planning
What level of profit should be in the budget
for the coming year?
Control
Did the manager responsible for
production costs do a good job of
controlling costs?
Decision making
Should the price be increased?
Slide 4-3
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Common Cost Behavior Patterns
Variable Costs
Costs which change directly in
proportion to changes in quantity or
activity
Fixed Costs
Costs which do not change when
quantity or activity volume changes
Slide 4-4
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Common Cost Behavior Patterns
Mixed Costs
Costs that have both variable and fixed
elements
Step Costs
Fixed for a range of output, but increase
when upper bound of range is exceeded
Slide 4-5
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Variable Costs
Costs that change in proportion to
changes in volume or activity
An automobile manufacturer will need 400
tires to make 100 cars, but 4,000 tires to
make 1,000 cars
A bakery will need 2 eggs to make 1 cake
and 20 eggs to make 10 cakes
If activity increases by a certain
percentage, cost increases by that same
percentage
Slide 4-6
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Test Your Knowledge 1
A company has decided that direct labor costs
are 100% variable. Last month total direct
labor costs were $125,000 and total direct
labor hours worked were 10,000.
1.What is the direct labor cost per hour?
$125,000 / 10,000 hours = $12.50 per hour
3.Predict labor costs in a month when 12,000
labor hours are worked
$12.50 per hour × 12,000 hours = $150,000
Slide 4-7
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Variable Costs
Total Variable Cost = $91 × Units produced
Slide 4-8
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Fixed Costs
Do not change in response to changes in
activity level
Typical fixed costs are depreciation,
supervisory salaries, and building
maintenance
• Rent for a bakery will not double if output
increases from 100 to 200 cakes
If activity increases by a certain
percentage, costs remain unchanged
Slide 4-9
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Fixed Costs
Total fixed cost = $94,000
Slide 4-10
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Fixed Costs
Discretionary fixed costs
Management can easily change, e.g.
advertising, research & development
Many companies cut back on these costs when
sales drop. This can be shortsighted.
A cut in research & development can have a
negative effect on long run profitability
A cut in repair and maintenance can have a
negative effect on the life of valuable assets
Committed fixed costs
Cannot be easily changed, e.g. rent, insurance
Slide 4-11
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Mixed Costs
Contain both variable and fixed cost
elements
Can separate mixed costs into variable and
fixed components
Salesperson with base salary (fixed) and
commission on sales (variable)
Base salary included with fixed costs
Commission included with variable costs
Slide 4-12
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Mixed Costs
Total cost = ($91 × Units produced) + $94,000
Slide 4-13
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Step Costs
Fixed cost for a specific range of volume
Increases to higher level when upper bound of
range is exceeded
At that point, costs again remain fixed until
another upper bound is exceeded
Step costs are often classified as either:
Step variable costs, if the range of activity where
the cost is fixed is small, or
Step fixed costs, if the range of activity where the
cost is fixed is large
Slide 4-14
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Step Variable Cost
Slide 4-15
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Step Fixed Cost
Slide 4-16
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Relevant Range
The relevant range is the range of activity for
which assumptions as to how costs behave are
reasonably valid
If it is known that production is going to be
within the relevant range, we can use
assumptions about the fixed and variable costs
Making assumptions about fixed and variable
costs at production levels well above or below
this range would not be valid
Slide 4-17
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
The Relevant Range
Total step costs =
$7,000 for relevant range 0 – 3,000 units produced
$14,000 for relevant range 3,001 – 6,000 units
$21,000 for relevant range 6,001 – 9,000 units
Slide 4-18
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Cost Estimation Methods
Account Analysis
Classify costs into variable and fixed pools
Scattergraphs
Can see cost relationships visually
High-Low Method
Linear estimation connects high and low
volume observations
Regression Analysis
Linear estimation is best fit to observed values
Slide 4-19
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Account Analysis
Most common approach
Requires professional judgment of
management
Management classifies costs as fixed,
variable, or mixed
Total variable costs divided by activity
equals variable cost per unit
Variable cost per unit and total fixed costs
can be used in cost equation
Slide 4-20
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Slide 4-21
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Scattergraphs
Utilization of cost information from several
previous periods
Weekly, monthly, or quarterly cost reports
are useful
Plot the actual costs at the observed activity
levels
Look for relationship between cost and
activity, linear is ideal
Use relationship to predict future costs
Slide 4-22
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
Scattergraphs
Is there a relationship between units produced and
production costs? Describe the relationship.
Slide 4-23
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
High-Low Method
Utilization of cost information from previous
periods
Fits a straight line from lowest activity level to
highest activity level
Slope of the line is the estimate of the unit
variable cost
The slope measures the change in cost per unit
in relation to the change in activity level
Total cost at lowest or highest activity level minus
variable cost at that level equals fixed cost
Slide 4-24
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.
High-Low Method
Total cost
at high
activity
level
Total cost at
low activity
level
Slide 4-25
Learning objective 1: Identify common cost behavior
patterns, and estimate the relation between cost and activity
using account analysis and the high-low method.