5-1 islamic university of gaza managerial accounting cost volume profit chapter 2 dr. hisham madi
TRANSCRIPT
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5-1
Islamic University of Gaza Islamic University of Gaza
Managerial Accounting
Cost Volume ProfitChapter 2
Dr. Hisham Madi
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5-2
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5-3
Cost Behavior Analysis is the study of how specific costs
respond to changes in the level of business activity.
Some costs change; others remain the same.
Helps management plan operations and decide between
alternative courses of action.
Applies to all types of businesses and entities.
Starting point is measuring key business activities.
Cost Behavior AnalysisCost Behavior Analysis
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5-4
Cost Behavior Analysis is the study of how specific costs
respond to changes in the level of business activity.
Activity levels may be expressed in terms of:
► Sales dollars (in a retail company)
► Miles driven (in a trucking company)
► Room occupancy (in a hotel)
Many companies use more than one measurement base.
Cost Behavior AnalysisCost Behavior Analysis
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5-5
Cost Behavior Analysis is the study of how specific costs
respond to changes in the level of business activity.
Changes in the level or volume of activity should be
correlated with changes in costs.
Activity level selected is called activity or volume index.
Activity index:
► Identifies the activity that causes changes in the behavior
of costs.
► The activity can be any repetitive event that serves as a
measure of output or usage
Cost Behavior AnalysisCost Behavior Analysis
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5-6
Variable Costs
Cost Behavior AnalysisCost Behavior Analysis
Costs that vary in total directly and proportionately with
changes in the activity level.
► Example: If the activity level increases 10 percent,
total variable costs increase 10 percent.
► Example: If the activity level decreases by 25 percent,
total variable costs decrease by 25 percent.
Variable costs remain the same per unit at every level of
activity.
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5-7
Illustration: Damon Company manufactures tablet computers
that contain a $10 camera. The activity index is the number of
tablets produced. As Damon
manufactures each tablet, the total
cost of the camera increases by $10.
As part (a) of Illustration shows, total
cost of the cameras will be $20,000 if
Damon produces 2,000 tablets, and
$100,000 when it produces 10,000
tablets. We also can see that a
variable cost remains the same per
unit as the level of activity changes.
Cost Behavior AnalysisCost Behavior Analysis
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5-8
Illustration: Damon Company manufactures tablet computers
that contain a $10 camera. The activity index is the number of
tablets produced. As Damon
manufactures each tablet, the total
cost of the camera increases by $10.
As part (b) of Illustration shows, the
unit cost of $10 for the camera is the
same whether Damon produces 2,000
or 10,000 tablets.
Cost Behavior AnalysisCost Behavior Analysis
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5-9
Cost Behavior AnalysisCost Behavior Analysis
Variable Costs
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5-10
Fixed Costs
Costs that remain the same in total regardless of
changes in the activity level.
Per unit cost varies inversely with activity: As
volume increases, unit cost declines, and vice versa
Examples:
► Property taxes
► Insurance
► Rent
► Depreciation on buildings and equipment
Cost Behavior AnalysisCost Behavior Analysis
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5-11
Illustration: Damon Company leases its productive facilities at a
cost of $10,000 per month. Total fixed costs of the
facilities will remain constant at every
level of activity, as part (a) of
Illustration 5-2 shows.
Cost Behavior AnalysisCost Behavior Analysis
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5-12
Illustration: Damon Company leases its productive facilities at a
cost of $10,000 per month. Total fixed costs of the
facilities will remain constant at every
level of activity. But, on a per unit
basis, the cost of rent will decline as
activity increases, as part (b) of
Illustration 5-2 shows. At 2,000 units,
the unit cost per tablet computer is $5
($10,000 ÷ 2,000). When Damon
produces 10,000 tablets, the unit cost
is only $1 ($10,000 ÷ 10,000).
Cost Behavior AnalysisCost Behavior Analysis
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5-13
Illustration 5-2Behavior of total and unit fixed costs
Cost Behavior AnalysisCost Behavior Analysis
Fixed Costs
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5-14
Throughout the range of possible levels of activity,
a straight-line relationship usually does not exist for
either variable costs or fixed costs.
Relationship between variable costs and changes in
activity level is often curvilinear.
For fixed costs, the relationship is also nonlinear –
some fixed costs will not change over the entire range
of activities, while other fixed costs may change.
Cost Behavior AnalysisCost Behavior Analysis
Relevant Range
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5-15
Cost Behavior AnalysisCost Behavior Analysis
Illustration 5-3Nonlinear behavior of variable and fixed costs
Relevant Range
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5-16
Cost Behavior AnalysisCost Behavior Analysis
Relevant Range – Range of activity over which a company expects to operate during a year. Illustration 5-4
Linear behavior within relevant range
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5-17
Costs that have both a variable cost element
and a fixed cost element.
Mixed Costs
Illustration 5-5
Cost Behavior AnalysisCost Behavior Analysis
Change in total
but not
proportionately
with changes in
activity level.
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5-18
High-Low Method
Mixed costs must be classified into their fixed and
variable elements.
High-Low Method uses the total costs incurred at both
the high and the low levels of activity to classify mixed
costs.
The difference in costs between the high and low levels
represents variable costs, since only variable costs
change as activity levels change.
Cost Behavior AnalysisCost Behavior Analysis
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5-19
STEP 1: Determine variable cost per unit using the
following formula:
Cost Behavior AnalysisCost Behavior Analysis
High-Low Method
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5-20
Illustration: Metro Transit Company has the following maintenance costs and mileage data for its fleet of buses over a 6-month period.
Change in Costs (63,000 - 30,000) $33,000
High minus Low (50,000 - 20,000) 30,000=
$1.10cost per
unit
Cost Behavior AnalysisCost Behavior Analysis
High-Low Method
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5-21
STEP 2: Determine the fixed cost by subtracting the total
variable cost at either the high or the low activity level from
the total cost at that level.
Cost Behavior AnalysisCost Behavior Analysis
High-Low Method
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5-22
Maintenance costs are therefore $8,000 per month plus
$1.10 per mile. This is represented by the following formula:
Maintenance costs = Fixed costs + ($1.10 x Miles driven)
Example: At 45,000 miles, estimated maintenance costs
would be:
Fixed$ 8,000Variable ($1.10 x 45,000)
49,500 $57,500
Cost Behavior AnalysisCost Behavior Analysis
High-Low Method
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5-23
Cost Behavior AnalysisCost Behavior Analysis
Scatter plot for Metro Transit Company
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5-24
Byrnes Company accumulates the following data concerning a
mixed cost, using units produced as the activity level.
(a) Compute the variable and fixed cost elements using the high-low method.
(b) Estimate the total cost if the company produces 6,000 units.
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5-25
(a) Compute the variable and fixed cost elements using the high-low method.
Variable cost: ($14,740 - $11,100) / (9,800 - 7,000) = $1.30 per unit
Fixed cost: $14,740 - $12,740 ($1.30 x 9,800 units) = $2,000
or $11,100 - $9,100 ($1.30 x 7,000) = $2,000
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5-26
(b) Estimate the total cost if the company produces 6,000 units.
Total cost (6,000 units): $2,000 + $7,800 ($1.30 x 6,000) = $9,800
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5-27
Cost-volume-profit (CVP) analysis is the study of the effects
of changes of costs and volume on a company’s profits.
Important in profit planning
Critical factor in management decisions as
► Setting selling prices,
► Determining product mix, and
► Maximizing use of production facilities.
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
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5-28
Illustration 5-9
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
Basic Components
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5-29
Basic Components - Assumptions
Behavior of both costs and revenues is linear throughout
the relevant range of the activity index.
All costs can be classified as either variable or fixed with
reasonable accuracy.
Changes in activity are the only factors that affect costs.
All units produced are sold.
When more than one type of product is sold, the sales
mix will remain constant.
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
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5-30
A statement for internal use.
Classifies costs and expenses as fixed or variable.
Reports contribution margin in the body of the
statement.
► Contribution margin – amount of revenue
remaining after deducting variable costs.
Reports the same net income as a traditional income
statement.
CVP Income Statement
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
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5-31
Illustration: Vargo Video produces a high-definition digital
camcorder with 15x optical zoom and a wide-screen, high-
resolution LCD monitor. Relevant data for the camcorders
sold by this company in June 2014 are as follows.
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
CVP Income Statement
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5-32
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
CVP Income Statement
Illustration: The CVP income statement for Vargo Video
therefore would be reported as follows.
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5-33
Contribution margin is available to cover fixed costs
and to contribute to income.
Formula for contribution margin per unit and the
computation for Vargo Video are:
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
Contribution Margin per Unit
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5-34
Vargo’s CVP income statement assuming a zero net income.
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
Contribution Margin per Unit
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5-35
Assume that Vargo sold one more camcorder, for a total of
1,001 camcorders sold.
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
Contribution Margin per Unit
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5-36
Shows the percentage of each sales dollar available
to apply toward fixed costs and profits.
Formula for contribution margin ratio and the
computation for Vargo Video are:
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
Contribution Margin Ratio
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5-37
Assume current sales are $500,000, what is the effect of a
$100,000 (200-unit) increase in sales?
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
Contribution Margin Ratio
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5-38
Assume Vargo Video’s current sales are $500,000 and it wants
to know the effect of a $100,000 (200-unit) increase in sales.
Illustration 5-18
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
Contribution Margin Ratio
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5-39
Process of finding the break-even point level of activity
at which total revenues equal total costs (both fixed
and variable).
Can be computed or derived
► from a mathematical equation,
► by using contribution margin, or
► from a cost-volume profit (CVP) graph.
Expressed either in sales units or in sales dollars.
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
Break-Even Analysis
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5-40
Computation
of break-even
point in units.
Break-Even Analysis Break-Even Analysis
Mathematical Equation
Break-even occurs where total sales equal variable costs plus
fixed costs; i.e., net income is zero
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5-41
At the break-even point, contribution margin must equal
total fixed costs
(CM = total revenues – variable costs)
Break-even point can be computed using either
contribution margin per unit or contribution margin ratio.
Break-Even AnalysisBreak-Even Analysis
Contribution Margin Technique
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5-42
When the BEP in units is desired, contribution margin
per unit is used in the following formula which shows
the computation for Vargo Video:
Break-Even AnalysisBreak-Even Analysis
Contribution Margin Technique
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5-43
When the BEP in dollars is desired, contribution
margin ratio is used in the following formula which
shows the computation for Vargo Video:
Break-Even AnalysisBreak-Even Analysis
Contribution Margin Technique
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5-44
Because this graph
also shows costs,
volume, and profits, it
is referred to as a
cost-volume-profit
(CVP) graph.
Graphic Presentation
Break-Even AnalysisBreak-Even Analysis
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5-45
Lombardi Company has a unit selling price of $400, variable
costs per unit of $240, and fixed costs of $180,000. Compute
the break-even point in units using (a) a mathematical
equation and (b) contribution margin per unit.
$400Q $240Q $180,000 0
$160Q $180,000
Q 1,125 units
-
-
=
- =
Illustration 5-19
Sales Variable Costs
Fixed Costs
Net Income
- - =
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5-46
$180,000 $160 1,125 units=
Lombardi Company has a unit selling price of $400, variable
costs per unit of $240, and fixed costs of $180,000. Compute
the break-even point in units using (a) a mathematical
equation and (b) contribution margin per unit.
Fixed Costs
Contribution Margin per Unit
Break-Even Point in Units
÷ =
÷
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5-47
Level of sales necessary to achieve a specified
income.
Can be determined from each of the approaches used
to determine break-even sales/units:
► from a mathematical equation,
► by using contribution margin, or
► from a cost-volume profit (CVP) graph.
Expressed either in sales units or in sales dollars.
Target Net Income
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
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5-48
Sales necessary to achieve a specified level of income.
Mathematical Equation
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
Target Net Income
Formula for required sales to meet target net income.
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5-49
Using the formula for the break-even point, simply include
the desired net income as a factor.
Target Net Income Target Net Income
Mathematical Equation
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5-50
Target Net IncomeTarget Net Income
To determine the required sales in units for Vargo Video:
Contribution Margin Technique
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5-51
Target Net IncomeTarget Net Income
To determine the required sales in dollars for Vargo Video:
Contribution Margin Technique
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5-52
Difference between actual or expected sales and sales
at the break-even point.
Measures the “cushion” that management has if expected
sales fail to materialize.
May be expressed in dollars or as a ratio.
Assuming actual/expected sales are $750,000:
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
Margin of Safety
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5-53
Computed by dividing the margin of safety in dollars by
the actual or expected sales.
Assuming actual/expected sales are $750,000:Illustration 5-29
The higher the dollars or percentage, the greater the
margin of safety.
Cost-Volume-Profit Analysis Cost-Volume-Profit Analysis
Margin of Safety
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Zootsuit Inc. makes travel bags that sell for $56 each. For the
coming year, management expects fixed costs to total
$320,000 and variable costs to be $42 per unit. Compute the
following: (a) break-even point in dollars using the contribution
margin (CM) ratio; (b) the margin of safety assuming actual
sales are $1,382,400; and (c) the sales dollars required to earn
net income of $410,000.
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Compute: (a) break-even point in dollars using the
contribution margin (CM) ratio.
Unit selling price $56
Unit variable costs - 42
Contribution margin per unit 14
Unit selling price 56
Contribution margin ratio 25%
Fixed costs $320,000
Contribution margin ratio 25%
Break-even sales in dollars $1,280,000
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Actual (Expected) sales $ 1,382,400
Break-even sales - 1,280,000
Margin of safety in dollars 102,400
Actual (Expected) sales 1,382,400
Margin of safety ratio 7.4%
Compute: (b) the margin of safety assuming actual sales are
$1,382,400.
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Fixed costs $ 320,000
Target net income + 410,000
730,000
Contribution margin ratio 25%
Required sales in dollars $2,920,000
Compute: (c) the sales dollars required to earn net income
of $410,000.
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Mabo Company makes calculators that sell for $20 each. For
the coming year, management expects fixed costs to total
$220,000 and variable costs to be $9 per unit. Compute:
a) Break-even point in units using the mathematical
equation.
b) Break-even point in dollars using the contribution margin
(CM) ratio.
c) Margin of safety percentage assuming actual sales are
$500,000.
d) Sales required in dollars to earn net income of $165,000.
Comprehensive
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Mabo Company makes calculators that sell for $20 each. For
the coming year, management expects fixed costs to total
$220,000 and variable costs to be $9 per unit. Compute
break-even point in units using the mathematical equation.
$20Q = $9Q + $220,000 + $0
$11Q = $220,000
Q = 20,000 units
Comprehensive
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Mabo Company makes calculators that sell for $20 each. For
the coming year, management expects fixed costs to total
$220,000 and variable costs to be $9 per unit. Compute
break-even point in dollars using the contribution margin
(CM) ratio.
Contribution margin per unit = $20 - $9 = $11
Contribution margin ratio = $11 / $20 = 55%
Break-even point in dollars = $220,000 / 55%
= $400,000
Comprehensive
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Mabo Company makes calculators that sell for $20 each. For
the coming year, management expects fixed costs to total
$220,000 and variable costs to be $9 per unit. Compute the
margin of safety percentage assuming actual sales are
$500,000.
$500,000 - $400,000
$500,000Margin of safety = = 20%
Comprehensive
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Mabo Company makes calculators that sell for $20 each. For
the coming year, management expects fixed costs to total
$220,000 and variable costs to be $9 per unit. Compute the
sales required in dollars to earn net income of $165,000.
$20Q = $9Q + $220,000 + $165,000
$11Q = $385,000
Q = 35,000 units
35,000 units x $20 = $700,000 required sales
Comprehensive
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