bmac 5203 - handouts - new - part 1

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    BMAC 5203

    ACCOUNTING FOR BUSINESS

    DECISION MAKING

    Lecturer

    Nguyen Phong Nguyen

    Lecturer in Accounting-University of Economics HCMC

    MA. University of EconomicsHCMC

    MBus (Accounting). MonashUniversity (Australia)

    DBA. University of Western Sydney(Australia)

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    Study Program

    1. Managerial accounting and basic cost concepts2. Activity-based costing3. CVP analysis4. Relevant costs for decision making5. Profit planning6. Flexible budgets and performance analysis7. Standard costs and operating performance measures

    8. Performance evaluation and decentralization9. Other contemporary issues in managerial accounting[no lecture, self-reading]

    Lecture 1Part A:

    Introduction to ManagerialAccounting and Ethics

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    Learning Objectives

    1. Explain the meaning and objectives of

    managerial accounting.

    2. Explain the differences between managerial

    accounting and financial accounting.

    3. Explain the IMA Ethical Principles.

    Why do managers need

    accounting information?

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    Comparison of Financial and

    Managerial Accounting (continued)

    The key point isflexibility

    the accounting system should be able to supply

    different information for different purposes.

    Managerial Accounting

    and Ethical Conduct [self reading]

    The objective of profit maximization shouldbe constrained by the requirement that profits

    be achieved through legal and ethical means.Ethical behavior involves choosing actions

    that are right, proper, and just.

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    IMA Ethical Principles

    Competencemaintain an appropriate level ofprofessional expertise by continually developingknowledge and skills;

    Confidentialityrefrain using confidentialinformation for unethical or illegal advantage;

    Integrityabstain from engaging in or supporting anyactivity that might discredit the profession; and

    Credibilitycommunicate information fairly and

    objectively.

    Lecture 1Part B:

    Basic Cost Concepts

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    Learning Objectives

    1. Define cost

    2. Understand three types of manufacturing costs.

    3. Distinguish between product costs and period costs

    4. Apply cost estimation methods to separate mixedcosts into fixed and variable elements.

    What is cost?

    Costis the amount of cash or cash equivalent

    sacrificed for goods and/or services that are

    expected to bring a current or future benefit tothe organization.

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    The Product

    DirectMaterials DirectLabor ManufacturingOverhead

    Manufacturing Costs

    Direct Materials

    Raw materials that become an integralpart of the product and that can be

    conveniently traced directly to it.

    Example: A radio installed in an automobile

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    Direct Labor

    Those labor costs that can be easily tracedto individual units of product.

    Example: Wages paid to automobile assembly workers

    Manufacturing costs that cannotbe traced directlyto specific units produced.

    Manufacturing Overhead

    Examples: Indirect materials and indirect labor

    Wages paid to employeeswho are not directly

    involved in productionwork.

    Examples: maintenanceworkers, janitors and

    security guards.

    Materials used to supportthe production process.

    Examples: lubricants andcleaning supplies used in theautomobile assembly plant.

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    Nonmanufacturing Costs

    Selling

    Costs

    Costs necessary to

    secure the order anddeliver the product.

    Administrative

    Costs

    All executive,

    organizational, andclerical costs.

    Product Costs Versus Period Costs

    Product costs include

    direct materials, directlabor, and manufacturing

    overhead.

    Period costsinclude all

    selling costs andadministrative costs.

    Inventory Cost of Good Sold

    BalanceSheet

    IncomeStatement

    Sale

    Expense

    IncomeStatement

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    Manufacturing Cost Flows

    Finished

    Goods

    Cost of

    GoodsSold

    Selling and

    Administrative

    Period CostsSelling andAdministrative

    ManufacturingOverhead

    Work in

    Process

    Direct Labor

    Balance SheetCosts Inventories

    IncomeStatement

    ExpensesMaterial Purchases Raw Materials

    Cost Classifications for Predicting

    Cost Behavior

    How a cost will react to changesin the level of activity within

    the relevant range.Totalvariable costschange

    when activity changes.

    Total fixed costsremainunchanged when activitychanges.

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    RelevantRange

    A straight lineclosely

    approximates acurvilinear variablecost line within the

    relevant range.

    Activity

    TotalCost

    EconomistsCurvilinear Cost

    Function

    The Linearity Assumption and the

    Relevant Range

    Accountants Straight-Line

    Approximation (constant unitvariable cost)

    Fixed Monthly

    Utility Charge

    Variable

    Cost per KW

    Activity (Kilowatt Hours)

    TotalUtilityCost

    X

    Y

    A mixed cost contains both variable and fixed elements.

    Consider the example of utility cost.

    Mixed Costs (also called semivariable costs)

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    Mixed Costs

    The total mixed cost line can be expressed

    as an equation: Y= a+ bX

    Where: Y = The total mixed cost.

    a = The total fixed cost (the

    vertical intercept of the line).

    b = The variable cost per unit of

    activity (the slope of the line).

    X = The level of activity.

    Fixed Monthly

    Utility Charge

    Variable

    Cost per KW

    Activity (Kilowatt Hours)

    TotalU

    tilityCost

    X

    Y

    Plot the data points on a graph(Total Cost Yvs. Activity X).

    0 1 2 3 4

    *

    MaintenanceCost

    1,0

    00sofDollars

    10

    20

    0

    ***

    **

    **

    *

    *

    Patient-days in 1,000s

    X

    Y

    The Scattergraph Method

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    The Scattergraph MethodDraw a line through the data points with about anequal numbers of points above and below the line.

    0 1 2 3 4

    *

    MaintenanceCost

    1,0

    00sofDollars

    10

    20

    0

    ***

    **

    **

    *

    *

    Patient-days in 1,000s

    X

    Y

    The Scattergraph Method

    Use one data point to estimate the total level of activityand the total cost.

    Intercept = Fixed cost: $10,000

    0 1 2 3 4

    *

    MaintenanceCost

    1,0

    00sofDollars

    10

    20

    0

    ***

    **

    **

    *

    *

    Patient-days in 1,000s

    X

    Y

    Patient days = 800

    Total maintenance cost = $11,000

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    Assigning Costs to Cost Objects

    Direct costs

    Costs that can beeasily and convenientlytraced to a unit ofproduct or other costobject.

    Examples: directmaterial and directlabor

    Indirect costs

    Costs that cannot beeasily and convenientlytraced to a unit ofproduct or other costobject.

    Example:manufacturingoverhead

    McGraw-Hill/Irwin

    Every decision involves a choice between

    at least two alternatives.

    Only those costs and benefits that differ

    between alternatives are relevant in a

    decision. All other costs and benefits can

    and should be ignored.

    Cost Classifications for Decision Making

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    Differential Cost and Revenue

    Costs and revenues that differ amongalternatives.

    Example: You have a job paying $1,500 per month in yourhometown. You have a job offer in a neighboring city that

    pays $2,000 per month. The commuting cost to the city is$300 per month.

    Differential revenue is:

    $2,000$1,500 = $500

    Differential cost is:

    $300

    Opportunity Cost

    The potential benefit that is givenup when one alternative is selected

    over another.

    Example: If you were not attending college,you could be earning $15,000 per year.Your opportunity cost of attending collegefor one year is $15,000.

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    Sunk Costs

    Sunk costs have already been incurred and cannot bechanged now or in the future. These costs should be

    ignored when making decisions.

    Example:You bought an automobile that cost $10,000two years ago. The $10,000 cost is sunk becausewhether you drive it, park it, trade it, or sell it, you

    cannot change the $10,000 cost.

    Homework

    Exercises 2-2; 2-3; 2-6; 2-7; 2-13; 3-2; 3-3;3-7; 3-8; 3-10

    Problem 3-12

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    Product Cost Assignment under Traditional

    Overhead Costing Approach

    Direct materials

    Direct labors Product A

    PRIME COSTS

    ManufacturingOverhead

    (plantwide costs)Product B

    Allocating based ona pre-determined

    overhead rate

    Tracing

    Tracing

    COST OBJECTS

    How Costs are Treated UnderActivityBased Costing

    Traditional cost systems usually rely on volumemeasures such as direct labor hours and/or machine

    hours to allocate all overhead costs to products.

    ABC definesfive levels of activity

    that largely do not relateto the volume of units

    produced.

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    Activity Based Costing

    The costing system that first trace costs to

    activities (activity cost pools) and then to cost

    objects.

    The underlying assumption is that

    Activities consume resources, and

    Cost objects, in turn, consume activities

    ABC is a two-stage process

    Steps in Activity Based Costing

    First stage cost allocation

    1. Define activities, activity cost pools, and

    activities measures.2. Assign overhead costs to activities cost poolsSecond stage cost allocation

    3. Calculate activity rates

    4. Assign overhead costs to cost objects usingactivity rates and activity measures

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    First Stage Cost Allocation - Example

    Exercise 7-6 - Define activities, activity cost pools, and activitiesmeasures

    ActivityLevel of

    activity

    Examples of

    measures

    a. Direct labor workers assemble a product. Unit

    b. Products are designed by engineers. Product

    c. Equipment is set up. Batch

    d. Machines are used to shape and cut materials. Unit

    e. Monthly bills are sent out to regular customers. Customerf. Materials are moved from the receiving dock

    to production lines.Batch

    g. All completed units are inspected for defects. Unit

    First Stage Cost Allocation - Example

    Exercise 7-2 -Assign overhead costs to activities cost pools

    TravelPickup and

    delivery

    Customer

    serviceOther Totals

    Driver and guard wages 360,000 252,000 72,000 36,000 720,000

    Vehicle operating expense 196,000 14,000 70,000 280,000

    Vehicle depreciation 72,000 18,000 30,000 120,000

    Customer representativesalaries and expenses

    - 144,000 16,000 160,000

    Office expenses 6,000 9,000 15,000 30,000

    Administrative expenses 16,000 192,000 112,000 320,000

    Total cost 628,000 306,000 417,000 279,000 1,630,000

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    Second Stage Cost Allocation - Example

    Exercise 7-3 - Calculate activity rates

    Activity cost pool

    Estimated

    overhead

    cost ($)

    Expected activity Activity rate ($)

    Caring for lawn 72,000 150,000 square feet oflawn

    0.48 per square footof lawn

    Caring for gardenbedslowmaintenance

    26,400 20,000 square feet of lowmaintenance beds(LMB)

    1.32 per square footof LMB

    Caring for gardenbedshighmaintenance

    41,400 15,000 square feet of highmaintenance beds(HMB)

    2.76 per square footof HMB

    Travel to jobs 3,250 12,500 miles 0.26 per mile

    Customer billingand service

    8,750 25 customers 350 per customer

    Second Stage Cost Allocation - Example

    Exercise 7-4 -Assign overhead costs to cost objects using activityrates and activity measures

    Product - K425

    Activity Cost Pool Activity Rate ($) Expected activity ABC costSupporting direct labor 6 per DLH 80 direct DLHs 480

    Machine processing 4 per machine-hour 100 machine-hours 400

    Machine setups 50 per setup 1 setup 50

    Production orders 90 per order 1 order 90

    Shipments 14 per shipment 1 shipment 14

    Product sustaining 840 per product 1 product 840

    Total 1,874

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    Second Stage Cost Allocation - Example

    Exercise 7-4 -Assign overhead costs to cost objects using activityrates and activity measures

    ProductM67

    Activity Cost Pool Activity Rate ($) Expected activity ABC cost

    Supporting direct labor 6 per DLH 500 direct DLHs 3,000

    Machine processing 4 per machine-hour 1,500 machine-hours 6,000

    Machine setups 50 per setup 4 setup 200

    Production orders 90 per order 4 order 360

    Shipments 14 per shipment 10 shipment 140

    Product sustaining 840 per product 1 product 840

    Total 10,540

    ABC Limitations

    Substantial resourcesrequired to implement

    and maintain.

    Resistance tounfamiliar numbers

    and reports.

    Desire to fullyallocate all costs

    to products.

    Potentialmisinterpretation ofunfamiliar numbers.

    Does not conform toGAAP. Two costing

    systems may be needed.

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    Homework

    Exercises 7-7; 7-8; 7-9; 7-10; 7-11; 7-12; 7-

    13; 7-14

    Problem 7-18

    Lecture 3:Cost-Volume-Profit (CVP)

    Analysis

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    Learning Objectives

    1. Understand the basics of CVP analysis

    2. Determine the break-even point, the amount

    of sales required for a target profit, the margin

    of safety, and the degree of operating leverage.

    3. .

    4. Understand the underlying assumptions and

    limitations of the CVP analysis tool.

    Basics of Cost-Volume-Profit Analysis

    Contribution Margin (CM) is the amount remaining from sales

    revenue after variable expenses have been deducted.

    Sales (500 bicycles) 250,000$

    Less: Variable expenses 150,000

    Contribution margin 100,000

    Less: Fixed expenses 80,000

    Net operating income 20,000$

    Racing Bicycle Company

    Contribution Income Statement

    For the Month of June

    The contribution income statement is helpful to managers in

    judging the impact on profits of changes in selling price, cost, or

    volume. The emphasis is on cost behavior.

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    Basics of Cost-Volume-Profit Analysis

    CM is used first to cover fixed expenses. Any remaining

    CM contributes to net operating income.

    Sales (500 bicycles) 250,000$

    Less: Variable expenses 150,000

    Contribution margin 100,000

    Less: Fixed expenses 80,000

    Net operating income 20,000$

    Racing Bicycle Company

    Contribution Income Statement

    For the Month of June

    Total Per Unit

    Sales (500 bicycles) 250,000$ 500$

    Less: Variable expenses 150,000 300

    Contribution margin 100,000 200$

    Less: Fixed expenses 80,000

    Net operating income 20,000$

    Racing Bicycle Company

    Contribution Income Statement

    For the Month of June

    The Contribution Approach

    Sales, variable expenses, and contribution margin can also beexpressed on a per unit basis. If Racing sells an additional

    bicycle, $200 additional CM will be generated to coverfixed expenses and profit.

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    Total Per Unit

    Sales (500 bicycles) 250,000$ 500$

    Less: Variable expenses 150,000 300Contribution margin 100,000 200$

    Less: Fixed expenses 80,000

    Net operating income 20,000$

    Racing Bicycle Company

    Contribution Income Statement

    For the Month of June

    The Contribution Approach

    Each month, RBC must generate at least

    $80,000 in total contribution margin to break-even (whichis the level of sales at which profit is zero).

    Total Per Unit

    Sales (400bicycles) 200,000$ 500$

    Less: Variable expenses 120,000 300

    Contribution margin 80,000 200$

    Less: Fixed expenses 80,000

    Net operating income -$

    Racing Bicycle CompanyContribution Income Statement

    For the Month of June

    The Contribution Approach

    If RBC sells 400 unitsin a month, it will be

    operating at the break-even point.

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    Total Per Unit

    Sales (401bicycles) 200,500$ 500$

    Less: Variable expenses 120,300 300

    Contribution margin 80,200 200$Less: Fixed expenses 80,000

    Net operating income 200$

    Racing Bicycle Company

    Contribution Income Statement

    For the Month of June

    The Contribution Approach

    If RBC sells one more bike (401 bikes), net

    operating income will increase by $200.

    The Contribution Approach

    We do not need to prepare an income statement to estimateprofits at a particular sales volume. Simply multiply the

    number of units sold above break-even by the contribution

    margin per unit.

    If Racing sells 430bikes, its net

    operating incomewill be $6,000.

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    CVP Relationships in Equation Form

    This equation can also be used to show the $200 profit RBCearns if it sells 401 bikes.

    Profit = (SalesVariable expenses)Fixed expenses

    Profit = (P QV Q)Fixed expenses

    Profit = ($500 401$300 401)$80,000$200 = ($500 401$300 401)$80,000

    Unit CM = Selling price per unitVariable expenses per unit

    It is often useful to express the simple profit equation in terms ofthe unit contribution margin (Unit CM) as follows:

    Profit = (P QV Q)Fixed expensesProfit = (PV) QFixed expensesProfit = Unit CM QFixed expenses

    Unit CM = PV

    CVP Relationships in Equation Form

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    Contribution Margin Ratio (CM Ratio)

    Total Per Unit CM Ratio

    Sales (500 bicycles) 250,000$ 500$ 100%

    Less: Variable expenses 150,000 300 60%

    Contribution margin 100,000 200$ 40%

    Less: Fixed expenses 80,000Net operating income 20,000$

    Racing Bicycle Company

    Contribution Income Statement

    For the Month of June

    $100,000 $250,000 = 40%

    The CM ratio is calculated by dividing the total contribution

    margin by total sales.

    Contribution Margin Ratio (CM Ratio)

    The contribution margin ratio at Racing Bicycle is:

    The CM ratio can also be calculated by dividingthe contribution margin per unit by the selling

    price per unit.

    CM per unitSP per unit

    CM Ratio = = 40%$200$500

    =

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    400 Units 500 Units

    Sales 200,000$ 250,000$

    Less: variable expenses 120,000 150,000

    Contribution margin 80,000 100,000

    Less: fixed expenses 80,000 80,000

    Net operating income -$ 20,000$

    Contribution Margin Ratio (CM Ratio)

    A $50,000 increase in sales revenue results in a $20,000increase in CM. ($50,000 40% = $20,000)

    If Racing Bicycle increases sales by $50,000, contributionmargin will increase by $20,000 ($50,000 40%).

    Here is the proof:

    The Variable Expense Ratio

    The variable expense ratio is the ratio of variable expenses tosales. It can be computed by dividing the total variable expenses bythe total sales, or in a single product analysis, it can be computedby dividing the variable expenses per unit by the unit selling price.

    Total Per Unit CM Ratio

    Sales (500 bicycles) 250,000$ 500$ 100%

    Less: Variable expenses 150,000 300 60%

    Contribution margin 100,000 200$ 40%

    Less: Fixed expenses 80,000

    Net operating income 20,000$

    Racing Bicycle Company

    Contribution Income Statement

    For the Month of June

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    A shortcut solution using incrementalanalysis

    Increase in CM (40 units X $200) 8,000$

    Increase in advertising expenses 10,000

    Decrease in net operating income (2,000)$

    Changes in Fixed Costs and Sales Volume

    Change in Variable Costs and Sales Volume

    What is the profit impact if Racing Bicycle can

    use higher quality raw materials, thus increasingvariable costs per unit by $10, to generate an

    increase in unit sales from 500 to 580?

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    500 units 580 units

    Sales 250,000$ 290,000$

    Less: Variable expenses 150,000 179,800

    Contribution margin 100,000 110,200

    Less: Fixed expenses 80,000 80,000

    Net operating income 20,000$ 30,200$

    580 units $310 variable cost/unit = $179,800

    Sales increaseby $40,000, and net operating

    income increasesby $10,200.

    Change in Variable Costs and Sales Volume

    Change in Fixed Cost, Sales Price

    and Volume

    What is the profit impact if RBC: (1) cuts its

    selling price $20 per unit, (2) increases its

    advertising budget by $15,000 per month, and (3)increases sales from 500 to 650 units per month?

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    Sales increaseby $62,000, fixed costs increase by $15,000, and

    net operating income increasesby $2,000.

    Change in Fixed Cost, Sales Price and Volume

    500 units 650 units

    Sales 250,000$ 312,000$

    Less: Variable expenses 150,000 195,000

    Contribution margin 100,000 117,000

    Less: Fixed expenses 80,000 95,000

    Net operating income 20,000$ 22,000$

    650 units $480 = $312,000

    Change in Variable Cost, Fixed Cost

    and Sales Volume

    What is the profit impact if RBC: (1) pays a $15 salescommission per bike sold instead of paying

    salespersons flat salaries that currently total $6,000 permonth, and (2) increases unit sales from 500 to 575

    bikes?

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    Sales increaseby $37,500, fixed expenses decreaseby $6,000.

    Net operating income increasesby $12,375.

    500 units 575 units

    Sales 250,000$ 287,500$

    Less: Variable expenses 150,000 181,125

    Contribution margin 100,000 106,375

    Less: Fixed expenses 80,000 74,000

    Net operating income 20,000$ 32,375$

    575 units $315 = $181,125

    Change in Variable Cost, Fixed Cost

    and Sales Volume

    Change in Regular Sales Price

    If RBC has an opportunity to sell 150 bikes toa wholesaler without disturbing sales to other

    customers or fixed expenses, what price wouldit quote to the wholesaler if it wants to

    increase monthly profits by $3,000?

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    Change in Regular Sales Price

    3,000$ 150 bikes = 20$ per bike

    Variable cost per bike = 300 per bike

    Selling price required = 320$ per bike

    150 bikes $320 per bike = 48,000$

    Total variable costs = 45,000

    Increase in net operating income = 3,000$

    Target Profit Analysis

    Suppose Racing Bicycle management wants

    to know how many bikes must be sold toearn a target profit of $100,000.

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    Target Profit Analysis in Terms of Unit Sales

    Suppose Racing Bicycle Company wants to know

    how many bikes must be sold to earn a profit of

    $100,000.

    Target profit + Fixed expenses

    CMper unit=

    Unit sales to attain

    the target profit

    Unit sales = 900

    $100,000 + $80,000$200Unit sales =

    Target Profit Analysis in Terms of Dollar Sales

    We can calculate the dollar sales needed to attain atarget profit (net operating profit) of $100,000 at

    Racing Bicycle.

    Target profit + Fixed expenses

    CM ratio=

    Dollar sales to attain

    the target profit

    Dollar sales = $450,000

    $100,000 + $80,00040%

    Dollar sales =

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    Break-even Analysis

    The equation and formula methods can be used to

    determine the unit sales and dollar sales needed to achieve

    a target profit of zero. Lets us the RBC information to

    complete the break-even analysis.

    Total Per Unit CM Ratio

    Sales (500 bicycles) 250,000$ 500$ 100%

    Less: Variable expenses 150,000 300 60%Contribution margin 100,000 200$ 40%

    Less: Fixed expenses 80,000

    Net operating income 20,000$

    Racing Bicycle Company

    Contribution Income Statement

    For the Month of June

    Break-even in Unit Sales

    Lets apply this formula to determine the break-

    even point.

    Unit sales = 400

    $80,000$200

    Unit sales =

    Fixed expenses

    CMper unit=

    Unit sales to

    break even

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    Break-even in Dollar Sales:

    Formula MethodNow, lets use the formula method to calculate the dollar

    sales at the break-even point.

    Dollar sales = $200,000

    $80,00040%Dollar sales =

    Fixed expenses

    CM ratio=

    Dollar sales to

    break even

    $0

    $50,000

    $100,000

    $150,000

    $200,000

    $250,000

    $300,000

    $350,000

    0 100 200 300 400 500 600

    Sales

    Total expenses

    Fixed expenses

    Preparing the CVP Graph

    Break-even point

    (400 units or $200,000 in sales)

    UnitsLoss Area

    Profit Area

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    The Margin of Safety in Dollars

    The margin of safety in dollars is the excess of

    budgeted (or actual) sales over the break-even

    volume of sales.

    Margin of safety in dollars = Total sales - Break-even sales

    Lets look at Racing Bicycle Company and

    determine the margin of safety.

    The Margin of Safety in Dollars

    If we assume that RBC has actual sales of $250,000, giventhat we have already determined the break-even sales tobe $200,000, the margin of safety is $50,000 as shown.

    Break-even

    sales

    400 units

    Actual sales

    500 units

    Sales 200,000$ 250,000$

    Less: variable expenses 120,000 150,000

    Contribution margin 80,000 100,000

    Less: fixed expenses 80,000 80,000

    Net operating income -$ 20,000$

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    The Margin of Safety Percentage

    RBCs margin of safety can be expressed as

    20%of sales. ($50,000 $250,000)

    Break-even

    sales

    400 units

    Actual sales

    500 units

    Sales 200,000$ 250,000$

    Less: variable expenses 120,000 150,000

    Contribution margin 80,000 100,000Less: fixed expenses 80,000 80,000

    Net operating income -$ 20,000$

    The Margin of Safety

    The margin of safety can be expressed in terms of thenumber of units sold. The margin of safety at RBC is

    $50,000, and each bike sells for $500; hence, RBCsmargin of safety is 100 bikes.

    Margin ofSafety in units

    = = 100 bikes$50,000

    $500

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    Operating Leverage

    Operating leverage is a measure of how sensitive net operatingincome is to percentage changes in sales. It is a measure, atany given level of sales, of how a percentage change in sales

    volume will affect profits.

    ** Profit Before Tax is a commonly used alternative to Net Operating Income

    in the degree of operating leverage calculation

    **IncomeOperatingNet

    MarginonContributiLeverageOperatingofDegreeDOL

    Operating Leverage

    Actual sales

    500 Bikes

    Sales 250,000$Less: variable expenses 150,000

    Contribution margin 100,000

    Less: fixed expenses 80,000

    Net income 20,000$

    $100,000

    $20,000 = 5

    Degree of

    Operating

    Leverage=

    To illustrate, lets revisit the contribution income

    statement for RBC.

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    Operating Leverage

    With an operating leverage of 5, if RBC increases its

    sales by 10%, net operating income would increase

    by 50%.

    Percent increase in sales 10%

    Degree of operating leverage 5

    Percent increase in profits 50%

    Heres the verification!

    Operating Leverage

    Actual sales

    (500)

    Increased

    sales (550)

    Sales 250,000$ 275,000$

    Less variable expenses 150,000 165,000

    Contribution margin 100,000 110,000

    Less fixed expenses 80,000 80,000

    Net operating income 20,000$ 30,000$

    10% increase in sales from

    $250,000 to $275,000 . . .

    . . . results in a 50% increase in

    income from $20,000 to $30,000.

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    What does higher value of Operating

    Leverage mean?

    High Operating Leverage ratiosignals the existence of high fixed costs.

    increases risk of making loss in adverse market conditions.

    increases opportunity to make profit when higher demandexists.

    has lower margin of safety percentage (MoS%)

    MoS%1DOL

    The Concept of Sales Mix

    Sales mix is the relative proportion in which acompanys products are sold.

    Different products have different selling prices, cost

    structures, and contribution margins.When a company sells more than one product, break-

    even analysis becomes more complex as the followingexample illustrates.

    Lets assume Racing Bicycle Company sells bikes andcarts and that the sales mix between the two products

    remains the same.

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    Key Assumptions of CVP Analysis

    Selling price is constant.

    Costs are linear and can be accurately divided intovariable (constant per unit) and fixed (constant in total)elements.

    In multiproduct companies, the sales mix is constant.

    In manufacturing companies, inventories do not

    change (units produced = units sold).

    Homework

    Exercises 4-12; 4-13; 4;15; 4-16; 4-18

    Problems 4-19; 4-22; 4-23; 4-27; 4-28

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    Lecture 4:

    Relevant Costs for Decision

    Making

    Learning Objectives

    1. Understand the concepts of relevant costs andbenefits.

    2. Identify and apply relevant costs and benefits, in avariety of business decisions

    a. Make or buy.

    b. Drop or retain a business segment.

    c. Accept or reject a special order.

    d. Determine the most profitable use of a constrained resources.

    e. Sell or process further.

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    Cost Concepts for Decision Making

    A relevant costis a cost that differs between

    alternatives.

    Is sunk cost a relevant cost?

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    Is opportunity cost a relevant cost?

    Relevant Cost Analysis: A Two-Step Process

    Eliminate costs and benefits that do not differ

    between alternatives.

    Use the remaining costs and benefits that differbetween alternatives in making the decision. The

    costs that remain are the differential, or avoidable,

    costs.

    Step 1

    Step 2

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    Adding/Dropping Segments

    Due to the declining popularity of digital

    watches, Lovell Companys digital watch

    line has not reported a profit for several

    years. Lovell is considering discontinuing

    this product line.

    Adding/Dropping SegmentsSegment Income Statement

    Digital Watches

    Sales 500,000$

    Less: variable expenses

    Variable manufacturing costs 120,000$

    Variable shipping costs 5,000

    Commissions 75,000 200,000

    Contribution margin 300,000$

    Less: fixed ex penses

    General factory overhead 60,000$

    Salary of line manager 90,000

    Depreciation of equipment 50,000

    Advertising - direct 100,000

    Rent - factory space 70,000

    General admin. expenses 30,000 400,000Net operating loss (100,000)$

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    The Make or Buy Decision

    When a company is involved in more than oneactivity in the entire value chain, it is verticallyintegrated. A decision to carry out one of the

    activities in the value chain internally, rather thanto buy externally from a supplier is called a

    make or buy decision.

    The Make or Buy Decision: An Example

    Essex Company manufactures part 4A that is used inone of its products.

    The unit product cost of this part is:

    Direct materials $ 9

    Direct labor 5

    Variable overhead 1

    Depreciation of special equip. 3

    Supervisor's salary 2

    General factory overhead 10Unit product cost 30$

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    The Make or Buy Decision

    The special equipment used to manufacture part 4A has noresale value.

    The total amount of general factory overhead, which isallocated on the basis of direct labor hours, would beunaffected by this decision.

    The $30 unit product cost is based on 20,000 partsproduced each year.

    An outside supplier has offered to provide the 20,000 partsat a cost of $25 per part.

    Should we accept the suppliers offer?

    The Make or Buy Decision

    The avoidable costsassociated with making part 4A include direct

    materials, direct labor, variable overhead, and the supervisors salary.

    Cost

    Per

    Unit Cost of 20,000 Units

    Make Buy

    Outside purchase price $ 25 $ 500,000

    Direct materials (20,000 units) 9$ 180,000

    Direct labor 5 100,000

    Variable overhead 1 20,000

    Depreciation of equip. 3 -

    Supervisor's salary 2 40,000

    General factory overhead 10 -Total cost 30$ 340,000$ 500,000$

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    Cost

    Per

    Unit Cost of 20,000 Units

    Make Buy

    Outside purchase price $ 25 $ 500,000

    Direct materials (20,000 units) 9$ 180,000

    Direct labor 5 100,000

    Variable overhead 1 20,000

    Depreciation of equip. 3 -

    Supervisor's salary 2 40,000

    General factory overhead 10 -Total cost 30$ 340,000$ 500,000$

    The Make or Buy Decision

    The depreciation of the special equipment represents a sunk cost.The equipment has no resale value, thus its cost and associated

    depreciation are irrelevant to the decision.

    Cost

    Per

    Unit Cost of 20,000 Units

    Make Buy

    Outside purchase price $ 25 $ 500,000

    Direct materials (20,000 units) 9$ 180,000

    Direct labor 5 100,000

    Variable overhead 1 20,000

    Depreciation of equip. 3 -

    Supervisor's salary 2 40,000

    General factory overhead 10 -Total cost 30$ 340,000$ 500,000$

    The Make or Buy Decision

    Not avoidable; irrelevant. If the product is dropped, it

    will be reallocated to other products.

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    The Make or Buy Decision

    Should we make or buy part 4A?Given that the total avoidable costsare less than the cost of buying the part, Essex should continue to

    make the part.

    Cost

    Per

    Unit Cost of 20,000 Units

    Make Buy

    Outside purchase price $ 25 $ 500,000

    Direct materials (20,000 units) 9$ 180,000

    Direct labor 5 100,000

    Variable overhead 1 20,000

    Depreciation of equip. 3 -

    Supervisor's salary 2 40,000

    General factory overhead 10 -

    Total cost 30$ 340,000$ 500,000$

    Opportunity Cost

    Anopportunity cost is the benefit that is foregone as a

    result of pursuing some course of action.

    Opportunity costs are not actual cash outlays and are

    not recorded in the formal accounts of anorganization.

    How would this concept potentially relate to the Essex

    Company?

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    Key Terms and Concepts

    A special order is a one-time order

    that is not considered part of the

    companys normal ongoing

    business.

    When analyzing a special order,

    only the incremental costs and

    benefits are relevant.

    Since the existing fixedmanufacturing overhead costs

    would not be affected by the

    order, they are not relevant.

    Special Orders

    Jet Corporation. makes a single product whose normal

    selling price is $20 per unit.

    A foreign distributor offers to purchase 3,000 units for $10

    per unit.This is a one-time order that would not affect the

    companys regular business.

    Annual capacity is 10,000 units, but Jet Corporation is

    currently producing and selling only 5,000 units.

    Should Jet accept the offer?

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    Special Orders

    Jet Corporation

    Contribution Income Statement

    Revenue (5,000 $20) 100,000$

    Variable costs:

    Direct materials 20,000$

    Direct labor 5,000

    Manufacturing overhead 10,000

    Marketing costs 5,000

    Total variable costs 40,000

    Contribution margin 60,000

    Fixed costs:

    Manufacturing overhead 28,000$

    Marketing costs 20,000

    Total fixed costs 48,000Net operating income 12,000$

    $8 variable cost

    Special Orders

    If Jet accepts the special order, the incremental revenuewill exceed the incremental costs. In other words, netoperating income will increase by $6,000. This suggests

    that Jet should accept the order.

    Increase in revenue (3,000 $10) 30,000$

    Increase in costs (3,000 $8 variable cost) 24,000Increase in net income 6,000$

    Note: This answer assumes that the fixed costs areunavoidableand that variable marketing costs must be

    incurred on the special order.

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    Utilization of a Constrained Resource

    When a limited resource of

    some type restricts the

    companys ability to satisfy

    demand, the company is said to

    have a constraint.

    The machine or process

    that is limiting overalloutput is called the

    bottleneckit is the

    constraint.

    Fixed costs are usually unaffected in these situations,so the product mix that maximizes the companys total

    contribution margin should ordinarily be selected.

    A company should not necessarily promote thoseproducts that have the highest unit contribution

    margins.

    Rather, total contribution margin will be maximized bypromoting those products or accepting those orders

    that provide the highest contribution margin in relation

    to the constraining resource.

    Utilization of a Constrained Resource

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    Utilization of a Constrained Resource:

    An ExampleEnsign Company produces two products and selected data

    are shown below:

    Product

    1 2

    Selling price per unit $ 60 $ 50

    Less variable expenses per unit 36 35

    Contribution margin per unit 24$ 15$

    Current demand per week (units) 2,000 2,200

    Contribution margin ratio 40% 30%

    Processing time required

    on machine A1 per unit 1.00 min. 0.50 min.

    Machine A1 is the constrained resource and isbeing used at 100% of its capacity.

    There is excess capacity on all other machines.

    Machine A1 has a capacity of 2,400 minutes perweek.

    Should Ensign focus its efforts on Product1 or Product 2?

    Utilization of a Constrained Resource:

    An Example

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    Utilization of a Constrained Resource

    The key is the contribution margin per unit of theconstrained resource.

    Ensign should emphasize Product 2because it generates

    a contribution margin of $30 per minute of the

    constrained resource relative to $24 per minute for

    Product 1.

    Product

    1 2

    Contribution margin per unit $ 24 $ 15

    Time re quired to produce one unit 1.00 min. 0.50 min.

    Contribution margin per minute 24$ 30$

    Utilization of a Constrained Resource

    Ensign can maximize its contribution margin by

    first producing Product 2to meet customer demand

    and then using any remaining capacity to produce

    Product 1. The calculations would be performed as

    follows.

    The key is the contribution margin per unit of the

    constrained resource.Product

    1 2Contribution margin per unit $ 24 $ 15

    Time re quired to produce one unit 1.00 min. 0.50 min.

    Contribution margin per minute 24$ 30$

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    Utilization of a Constrained Resource

    According to the plan, we will produce 2,200 units of

    Product 2 and 1,300 of Product 1. The

    contribution margin looks like this.

    Product 1 Product 2

    Production and sales (units) 1,300 2,200

    Contribution margin per unit 24$ 15$

    Total contribution margin 31,200$ 33,000$

    The total contribution margin for Ensign is $64,200.

    In some industries, a number of end products

    are produced from a single raw material input.

    Two or more products produced from acommon input are called joint products.

    The point in the manufacturing process where

    each joint product can be recognized as a

    separate product is called the split-off point.

    Sell or Process Further

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    SeparateProcessing

    Separate

    Processing

    Final

    Sale

    Final

    Sale

    FinalSale

    Separate

    Product

    Costs

    JointInput

    CommonProduction

    Process

    Split-Off

    Point

    Oil

    Gasoline

    Chemicals

    Joint costs

    are incurredup to the

    split-off point

    Sell or Process Further

    Sell or Process Further: An Example

    Sawmill, Inc. cuts logs from which unfinished lumberand sawdust are the immediate joint products.

    Unfinished lumber is sold as is or processed furtherinto finished lumber.

    Sawdust can also be sold as is to gardening

    wholesalers or processed further into presto-logs.

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    Sell or Process Further

    Data about Sawmills joint products includes:

    Per Log

    Lumber Sawdust

    Sales value at the split-off point 140$ 40$

    Sales value after further processing 270 50

    Allocated joint product costs 176 24

    Cost of further processing 50 20

    Sell or Process Further

    The lumber should be processedfurther and the sawdust should be

    sold at the split-off point.

    Analysis of Sell or Process Further

    Per Log

    Lumber Sawdust

    Sales value after further processing 270$ 50$

    Sales value at the split-off point 140 40

    Incremental revenue 130 10

    Cost of further processing 50 20Profit (loss) from further processing 80$ (10)$

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    Homework

    Exercises 14-2; 14-3; 14-4; 14-5; 14-6; 14-7; 14-9; 14-11; 14-12; 14-13; 14-14; 14-15; 14-17