Cost Volume Profit Analysis Lecture Notes

Cost-Volume-Profit Cost-Volume-Profit AnalysisAnalysis

Lecture NotesLecture Notes

Week 8Week 8

The Break-Even PointThe break-even point is the point in the volume of The break-even point is the point in the volume of

activity where the organization’s revenues and activity where the organization’s revenues and expenses are equal.expenses are equal.

Sales 250,000$ Less: variable expenses 150,000 Contribution margin 100,000 Less: fixed expenses 100,000 Net income -$

Sales 250,000$ Less: variable expenses 150,000 Contribution margin 100,000 Less: fixed expenses 100,000 Net income -$

Contribution-Margin Approach

Consider the following information developed Consider the following information developed by the accountant at Curl, Inc.:by the accountant at Curl, Inc.:

Total Per Unit PercentSales (500 surf boards) 250,000$ 500$ 100%Less: variable expenses 150,000 300 60%Contribution margin 100,000$ 200$ 40%

Less: fixed expenses 80,000 Net income 20,000$








For each additional surf board sold, Curl For each additional surf board sold, Curl generates $200 in contribution margin.generates $200 in contribution margin.


Fixed expensesFixed expenses Unit contribution margin Unit contribution margin ==

Break-even pointBreak-even point(in units)(in units)





$80,000$80,000 $200$200

= 400 surf boards= 400 surf boards


Here is the proof!Here is the proof!


Less: fixed expenses 80,000 Net income -$



400 × $500 = $200,000400 × $500 = $200,000 400 × $300 = $120,000400 × $300 = $120,000

Contribution Margin Ratio

Calculate the break-even point in Calculate the break-even point in sales dollars sales dollars rather rather than units by using the contribution margin ratio.than units by using the contribution margin ratio.

Contribution marginContribution margin SalesSales = CM Ratio= CM Ratio

Fixed expenseFixed expense CM RatioCM Ratio

Break-even pointBreak-even point(in sales dollars)(in sales dollars)==

Contribution Margin Ratio





$80,000$80,000 40%40%

$200,000 sales$200,000 sales==

Equation Approach

Sales revenue – Variable expenses – Fixed expenses = ProfitSales revenue – Variable expenses – Fixed expenses = Profit

UnitUnitsalessalespriceprice

SalesSalesvolumevolumein unitsin units

××UnitUnit

variablevariableexpenseexpense

SalesSalesvolumevolumein unitsin units

××

($500 × X)× X) ($300 × X)× X)–– –– $80,000 = $0

($200X)X) –– $80,000 = $0

X = 400 surf boardsX = 400 surf boards

Graphing Cost-Volume-Profit Relationships

Viewing CVP relationships in a graph gives Viewing CVP relationships in a graph gives managers a perspective that can be obtained in no managers a perspective that can be obtained in no

other way.other way.

Consider the following information for Curl, Inc.:Consider the following information for Curl, Inc.:

Cost-Volume-Profit Graph

Fixed expensesFixed expenses

Units Sold

Sal

es in

Dol

lars

Total expensesTotal expenses

Total salesTotal salesBreak-evenBreak-evenpointpoint

Break-evenBreak-evenpointpoint

Profit area

Loss area

1 3 4 52 6 7 8

Pro

fit

Units sold (00s)

Profit-Volume GraphSome managers like the profit-volumeSome managers like the profit-volume

graph because it focuses on profits and volume.graph because it focuses on profits and volume.Some managers like the profit-volumeSome managers like the profit-volume

graph because it focuses on profits and volume.graph because it focuses on profits and volume.

Break-evenpoint

Break-evenpoint

Profit

area

Loss area

Target Net Profit

We can determine the number of We can determine the number of surfboards that Curl must sell to earn a surfboards that Curl must sell to earn a profit of $100,000 using the profit of $100,000 using the contribution contribution

margin approachmargin approach..

We can determine the number of We can determine the number of surfboards that Curl must sell to earn a surfboards that Curl must sell to earn a profit of $100,000 using the profit of $100,000 using the contribution contribution

margin approachmargin approach..

Fixed expenses + Fixed expenses + Target profitTarget profit Unit contribution marginUnit contribution margin ==

Units sold to earnUnits sold to earnthe target profitthe target profit

$80,000 + $100,000 $200 $80,000 + $100,000 $200

= 900 surf boards= 900 surf boards

Equation Approach

Sales revenue – Variable expenses – Fixed expenses = ProfitSales revenue – Variable expenses – Fixed expenses = Profit

($500 × X)× X) ($300 × X)× X)–– –– $80,000 = $100,000$100,000$80,000 = $100,000$100,000

($200X)X) = $180,000= $180,000

X = 900 surf boardsX = 900 surf boards

Applying CVP Analysis

Safety MarginSafety MarginThe difference between budgeted sales The difference between budgeted sales

revenue and break-even sales revenue.revenue and break-even sales revenue.The amount by which sales can drop The amount by which sales can drop

before losses begin to be incurred.before losses begin to be incurred.

Safety MarginSafety MarginThe difference between budgeted sales The difference between budgeted sales

revenue and break-even sales revenue.revenue and break-even sales revenue.The amount by which sales can drop The amount by which sales can drop

before losses begin to be incurred.before losses begin to be incurred.

Safety Margin

Curl, Inc. has a break-even point of $200,000. If Curl, Inc. has a break-even point of $200,000. If actual sales are $250,000, the safety margin is actual sales are $250,000, the safety margin is

$50,000$50,000 or 100 surf boards. or 100 surf boards.

Changes in Fixed Costs

Curl is currently selling 500 surf boards per Curl is currently selling 500 surf boards per month.month.

The owner believes that an increase of $10,000 The owner believes that an increase of $10,000 in the monthly advertising budget, would in the monthly advertising budget, would increase bike sales to 540 units.increase bike sales to 540 units.

Should we authorize the requested increase in Should we authorize the requested increase in the advertising budget?the advertising budget?

Curl is currently selling 500 surf boards per Curl is currently selling 500 surf boards per month.month.

The owner believes that an increase of $10,000 The owner believes that an increase of $10,000 in the monthly advertising budget, would in the monthly advertising budget, would increase bike sales to 540 units.increase bike sales to 540 units.

Should we authorize the requested increase in Should we authorize the requested increase in the advertising budget?the advertising budget?


$80,000 + $10,000 advertising = $90,000$80,000 + $10,000 advertising = $90,000

540 units × $500 per unit = $270,000540 units × $500 per unit = $270,000


Sales will increase by $20,000, but net income

decreaseddecreased by $2,000..

Sales will increase by $20,000, but net income

decreaseddecreased by $2,000..

Changes in UnitContribution Margin

Because of increases in cost of raw materials, Curl’s variable cost per unit has increased from $300 to $310 per surf board. With no

change in selling price per unit, what will be the new break-even point?

Because of increases in cost of raw materials, Curl’s variable cost per unit has increased from $300 to $310 per surf board. With no

change in selling price per unit, what will be the new break-even point?

($500 × X)× X)($500 × X)× X) ($310 × X)× X)($310 × X)× X)–– –– $80,000 = $0$80,000 = $0

X = 422 units X = 422 units (rounded)(rounded)

Predicting Profit Given Expected Volume

Fixed expensesFixed expensesUnit contribution marginUnit contribution marginTarget net profitTarget net profit

Find: Find: {required sales volume}{required sales volume}Given:Given:

Fixed expensesFixed expensesUnit contribution marginUnit contribution marginExpected sales volumeExpected sales volume

Find: Find: {expected profit}{expected profit}Given:Given:

Predicting Profit GivenExpected Volume

In the coming year, Curl’s owner expects to sell In the coming year, Curl’s owner expects to sell 525 surfboards. The unit contribution margin 525 surfboards. The unit contribution margin is expected to be $190, and fixed costs are is expected to be $190, and fixed costs are

expected to increase to $90,000.expected to increase to $90,000.

In the coming year, Curl’s owner expects to sell In the coming year, Curl’s owner expects to sell 525 surfboards. The unit contribution margin 525 surfboards. The unit contribution margin is expected to be $190, and fixed costs are is expected to be $190, and fixed costs are

expected to increase to $90,000.expected to increase to $90,000.

($190 × 525)× 525)($190 × 525)× 525) –– $90,000 = X$90,000 = X

X = $9,750 profitX = $9,750 profit

X = $99,750 – $90,000X = $99,750 – $90,000

Total contribution - Fixed cost = ProfitTotal contribution - Fixed cost = ProfitTotal contribution - Fixed cost = ProfitTotal contribution - Fixed cost = Profit

CVP Analysis with Multiple Products

For a company with more than one product, For a company with more than one product, sales mixsales mix is the relative combination in which is the relative combination in which

a company’s products are sold.a company’s products are sold.

Different products have different selling prices, Different products have different selling prices, cost structures, and contribution margins.cost structures, and contribution margins.

Let’s assume Curl sells surf boards and sail Let’s assume Curl sells surf boards and sail boards and see how we deal with break-boards and see how we deal with break-

even analysis.even analysis.

For a company with more than one product, For a company with more than one product, sales mixsales mix is the relative combination in which is the relative combination in which

a company’s products are sold.a company’s products are sold.

Different products have different selling prices, Different products have different selling prices, cost structures, and contribution margins.cost structures, and contribution margins.

Let’s assume Curl sells surf boards and sail Let’s assume Curl sells surf boards and sail boards and see how we deal with break-boards and see how we deal with break-

even analysis.even analysis.


Curl provides us with the following information:Curl provides us with the following information:


Weighted-average unit contribution marginWeighted-average unit contribution margin

$200 × 62.5%$200 × 62.5%$200 × 62.5%$200 × 62.5%


Break-even pointBreak-even pointBreak-evenpoint

= Fixed expenses

Weighted-average unit contribution margin

Break-evenpoint

= $170,000

$331.25

Break-evenpoint

= 514 combined unit sales514 combined unit sales


Break-even pointBreak-even pointBreak-evenpoint

= 514 combined unit sales514 combined unit sales

Assumptions UnderlyingCVP Analysis

Selling price is constant throughout Selling price is constant throughout the entire relevant range.the entire relevant range.

Costs are linear over the relevant Costs are linear over the relevant range.range.

In multi-product companies, the In multi-product companies, the sales mix is constant.sales mix is constant.

In manufacturing firms, inventories In manufacturing firms, inventories do not change (units produced = do not change (units produced = units sold).units sold).

Selling price is constant throughout Selling price is constant throughout the entire relevant range.the entire relevant range.

Costs are linear over the relevant Costs are linear over the relevant range.range.

In multi-product companies, the In multi-product companies, the sales mix is constant.sales mix is constant.

In manufacturing firms, inventories In manufacturing firms, inventories do not change (units produced = do not change (units produced = units sold).units sold).

Cost Structure and Operating Leverage

The cost structure of an organization is the relative proportion of its fixed and variable costs.

Operating leverage is . . . the extent to which an organization uses

fixed costs in its cost structure. greatest in companies that have a high

proportion of fixed costs in relation to variable costs.

The cost structure of an organization is the relative proportion of its fixed and variable costs.

Operating leverage is . . . the extent to which an organization uses

fixed costs in its cost structure. greatest in companies that have a high

proportion of fixed costs in relation to variable costs.

Measuring Operating Leverage

Contribution margin Net income

Operating leveragefactor

=

$100,000$100,000 $20,000$20,000

= 5= 5

Measuring Operating Leverage

A measure of how a percentage change in A measure of how a percentage change in sales will affect profits. If Curl increases its sales will affect profits. If Curl increases its sales by 10%, what will be the percentage sales by 10%, what will be the percentage

increase in net income?increase in net income?

A measure of how a percentage change in A measure of how a percentage change in sales will affect profits. If Curl increases its sales will affect profits. If Curl increases its sales by 10%, what will be the percentage sales by 10%, what will be the percentage

increase in net income?increase in net income?

Percent increase in sales 10%Operating leverage factor × 5Percent increase in profits 50%

Percent increase in sales 10%Operating leverage factor × 5Percent increase in profits 50%

CVP Analysis, Activity-Based Costing, and Advanced Manufacturing Systems

An activity-based costing system can An activity-based costing system can provide a much more complete picture of provide a much more complete picture of cost-volume-profit relationships and thus cost-volume-profit relationships and thus provide better information to managers.provide better information to managers.

Break-evenBreak-evenpointpoint

== Fixed costsFixed costs Unit contribution marginUnit contribution margin

Overhead costs like setup, inspection, and Overhead costs like setup, inspection, and material handling are fixed with respect to material handling are fixed with respect to sales volumesales volume, but they are not fixed with , but they are not fixed with

respect to other respect to other cost driverscost drivers..

This is the fundamental distinction This is the fundamental distinction between a traditional CVP analysis and an between a traditional CVP analysis and an

activity-based costing CVP analysis.activity-based costing CVP analysis.

Overhead costs like setup, inspection, and Overhead costs like setup, inspection, and material handling are fixed with respect to material handling are fixed with respect to sales volumesales volume, but they are not fixed with , but they are not fixed with

respect to other respect to other cost driverscost drivers..

This is the fundamental distinction This is the fundamental distinction between a traditional CVP analysis and an between a traditional CVP analysis and an

activity-based costing CVP analysis.activity-based costing CVP analysis.

A Move Toward JIT andFlexible Manufacturing

End of LectureWe madeWe made

it!it!

Cost Volume Profit Analysis Lecture Notes

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