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    Copyright 2008 by The McGraw-Hill Companies, Inc. All rights reserved.McGraw-Hill/Irwin

    Decision Making:Relevant Costs and

    Benefits

    ChapterFourteen

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    Copyright 2008 by The McGraw-Hill Companies, Inc. All rights reserved.McGraw-Hill/Irwin

    LearningObjective

    1

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    The Managerial Accountants

    Role in Decision Making

    Designs and implementsaccounting information

    system

    Cross-functional

    management teamswho make

    production, marketing,and finance decisions

    Make substantiveeconomic decisionsaffecting operations

    ManagerialAccountant

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    The Decision-Making Process

    1. Clarify the Decision Problem

    2. Specify the Criterion

    3. Identify the Alternatives

    4. Develop a Decision Model

    5. Collect the Data

    6. Make a Decision

    QuantitativeAnalysis

    Exh.

    14-1

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    Copyright 2008 by The McGraw-Hill Companies, Inc. All rights reserved.McGraw-Hill/Irwin

    LearningObjective

    2

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    The Decision-Making Process

    1. Clarify the Decision Problem

    2. Specify the Criterion

    3. Identify the Alternatives

    4. Develop a Decision Model

    5. Collect the Data

    6. Make a Decision

    Primarily theresponsibility of themanagerialaccountant.

    Information should be:1. Relevant2. Accurate3. Timely

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    The Decision-Making Process

    1. Clarify the Decision Problem

    2. Specify the Criterion

    3. Identify the Alternatives

    4. Develop a Decision Model

    5. Collect the Data

    6. Make a Decision

    QualitativeConsiderations

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    LearningObjective

    3

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    The Decision-Making Process

    1. Clarify the Decision Problem

    2. Specify the Criterion

    3. Identify the Alternatives

    4. Develop a Decision Model

    5. Collect the Data

    6. Make a Decision

    Relevant

    Pertinent to a

    decision problem.

    Accurate

    Information must

    be precise.

    Timely

    Available in time

    for a decision

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    Relevant Information

    Information is relevant to a decisionproblem when . . .

    It has a bearing on the future,

    It differs among competing alternatives.

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    LearningObjective

    4

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    Identifying RelevantCosts and Benefits

    Sunk costsCosts that have already been incurred.They do not affect any future cost and

    cannot be changed by any current or futureaction.

    Sunk costs are irrelevant to decisions.

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    Relevant Costs

    Worldwide Airways is thinking about replacing athree year old loader with a new, more efficient

    loader.New loader List price 15,000$

    Annual operating expenses 45,000Expected life in years 1

    Old loader

    Original cost 100,000$

    Remaining book value 25,000Disposal value now 5,000

    Annual variable expenses 80,000

    Remaining life in years 1

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    Kee p Old

    Loader

    Re place Old

    Loader

    Differential

    Cost

    De pre ciation of old loade r 25,000$

    Write -off of old loade r 25,000$ -$

    P roce e ds from s ale of old loade r (5,000) 5,000

    De pre ciation of n e w loade r 15,000 (15,000)Ope ratin g cos ts 80,000 45,000 35,000

    Total cos ts 105,000$ 80,000$ 25,000$

    Relevant Costs

    If we keep the old loader, we will have depreciationcosts of $25,000. If we replace the old loader,

    we will write-off the $25,000 when sold. There isno difference in the cost, so it is not relevant.

    The new loader will be depreciated in one year.

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    Kee p Old

    Loader

    Re place Old

    Loader

    Differential

    Cost

    De pre ciation of old loade r 25,000$

    Write -off of old loade r 25,000$ -$

    P roce e ds from s ale of old loade r (5,000) 5,000

    De pre ciation of n e w loade r 15,000 (15,000)Ope ratin g cos ts 80,000 45,000 35,000

    Total cos ts 105,000$ 80,000$ 25,000$

    Relevant Costs

    The $5,000 proceeds will only be realized if wereplace the old loader. This amount is relevant.

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    Kee p Old

    Loader

    Re place Old

    Loader

    Differential

    Cost

    De pre ciation of old loade r 25,000$

    Write -off of old loade r 25,000$ -$

    P roce e ds from s ale of old loade r (5,000) 5,000

    De pre ciation of n e w loade r 15,000 (15,000)Ope ratin g cos ts 80,000 45,000 35,000

    Total cos ts 105,000$ 80,000$ 25,000$

    Relevant Costs

    We will only have depreciation on the new loaderif we replace the old loader. This cost is relevant.

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    Relevant Costs

    Kee p Old

    Loader

    Re place Old

    Loader

    Differential

    Cost

    De pre ciation of old loade r 25,000$

    Write -off of old loade r 25,000$ -$

    P roce e ds from s ale of old loade r (5,000) 5,000

    De pre ciation of n e w loade r 15,000 (15,000)Ope ratin g cos ts 80,000 45,000 35,000

    Total cos ts 105,000$ 80,000$ 25,000$

    The difference in operating costs is relevant

    to the immediate decision.

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    Relevant Costs

    Here is an analysis that includes only relevantcosts:

    Relevant Cost AnalysisSavings in variable expenses

    provided by the new loader 35,000$

    Cost of the new loader (15,000)Disposal value of old loader 5,000

    Net effect 25,000$

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    Analysis of Special Decisions

    Lets take a close look at some specialdecisions faced by many businesses.

    We just receiveda special order. Doyou think we should

    accept it?

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    Accept or Reject a Special Order A travel agency offers Worldwide Airways

    $150,000 for a round-trip flight from Hawaiito Japan on a jumbo jet.

    Worldwide usually gets $250,000 in revenue

    from this flight.

    The airline is not currently planning to addany new routes and has two planes that are

    idle and could be used to meet the needs ofthe agency.

    The next screen shows cost data developed

    by managerial accountants at Worldwide.

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    Accept or Reject a Special Order

    Revenue:

    Passenger 250,000$

    Cargo 30,000

    Total 280,000$Expenses:

    Variable expenses 90,000

    Allocated fixed expenses 100,000

    Total 190,000Profit 90,000$

    Typical Flight Between Japan and Hawaii

    Worldwide will save about $5,000 in reservationand ticketing costs if the charter is accepted.

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    Accept or Reject a Special Order

    Special price for charter 150,000$

    Variable cost per flight 90,000$

    Reservation cost savings (5,000)Variable cost of charter 85,000

    Contribution from charter 65,000$

    Assumes excess capacity

    Since the charter will contribute to fixed costs andWorldwide has idle capacity, the company should

    accept the flight.

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    Accept or Reject a Special Order

    What if Worldwide had no excess capacity? IfWorldwide adds the charter, it will have tocut its least profitable route that currently

    contributes $80,000 to fixed costs andprofits. Should Worldwide still accept the

    charter?

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    Accept or Reject a Special Order

    Special price for charter 150,000$

    Variable cost per flight 90,000$

    Reservation cost savings (5,000)Variable cost of charter 85,000

    Opportunity cost:

    Lost contribution on route 80,000 165,000

    Total (15,000)$

    Assumes no excess capacity

    Worldwide has no excess capacity, so itshould reject the special charter.

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    Accept or Reject a Special Order

    With excess capacity . . . Relevant costs will usually be the variable costs

    associated with the special order.

    Without excess capacity . . . Same as above but opportunity cost of using

    the firms facilities for the special order are alsorelevant.

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    Outsource a Product or Service

    A decision concerning whether an item shouldbe produced internally or purchased from an

    outside supplier is often called a make or

    buy decision.

    Lets look at another decision faced by the

    management of Worldwide Airways.

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    Outsource a Product or Service An Atlanta bakery has offered to supply the

    in-flight desserts for 21 each.

    Here are Worldwides current cost for

    desserts:

    Variable costs: Direct material 0.06$

    Direct labor 0.04

    Variable overhead 0.04

    Fixed costs: Supervisory salaries 0.04

    Depreciation of equipment 0.07

    Total cost per dessert 0.25$

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    Outsource a Product or Service

    Cost per

    Dessert

    Savings from

    Outsourcing

    Variable costs: Direct material 0.06$ 0.06$

    Direct labor 0.04 0.04

    Variable overhead 0.04 0.04

    Fixed costs: Supervisory salaries 0.04 0.01

    Equipment depreciation 0.07 -

    Total cost per dessert 0.25$ 0.15$

    Not all of the allocated fixed costs will be savedif Worldwide purchases from the outside bakery.

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    Outsource a Product or Service

    If Worldwide purchases the dessert for 21,it will only save 15 so Worldwide will

    have a lossof 6 per dessert purchased.

    Wow, thatsno deal!

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    Outsource a Product or Service

    Beware of Unit-Cost DataFor decision-making purposes, unitized fixed

    costs can be misleading.

    S

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    Add or Drop a Service,Product, or Department

    One of the most importantdecisions managers make is

    whether to add or drop a

    product, service ordepartment.

    Lets look at how the concept

    of relevant costs should beused in such a decision.

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    Add or Drop a Product

    Worldwide Airways offers itspassengers the opportunity to join its

    World Express Club. Clubmembership entitles a traveler to use

    the club facilities at the airport inAtlanta.

    Club privileges include a private lounge

    and restaurant, discounts on mealsand beverages, and use of a smallhealth spa.

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    Add or Drop a Product

    Sales $200,000Less: Variable Costs:

    Food/Beverage $70,000

    Personnel 40,000

    Variable overhead 25,000 (135,000)

    Contribution Margin 65,000

    Less: Fixed Costs:

    Depreciation $30,000

    Supervisor salary 20,000

    Insurance 10,000Airport fees 5,000

    Allocated overhead 10,000 ( 75,000)

    Loss $ ( 10,000)

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    Add or Drop a Product

    KEEP CLUB ELIMINATE DIFFERENTIALSales $200,000 0 $200,000

    Food/Beverage (70,000) 0 (70,000)

    Personnel (40,000) 0 (40,000)

    Variable overhead (25,000) 0 (25,000)

    Contribution Margin 65,000 0 65,000

    Depreciation (30,000) (30,000) 0

    Supervisor salary (20,000) 0 (20,000)

    Insurance (10,000) (10,000) 0

    Airport fees ( 5,000) 0 ( 5,000)Allocated overhead (10,000) (10,000) 0

    Loss $ (10,000) $(50,000) $ 40,000

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    Add or Drop a Product

    KEEP CLUB ELIMINATE DIFFERENTIALSales $200,000 0 $200,000

    Food/Beverage (70,000) 0 (70,000)

    Personnel (40,000) 0 (40,000)

    Variable overhead (25,000) 0 (25,000)

    Contribution Margin 65,000 0 65,000

    Depreciation (30,000) (30,000) 0

    Supervisor salary (20,000) 0 (20,000)

    Insurance (10,000) (10,000) 0

    Airport fees ( 5,000) 0 ( 5,000)Allocated overhead (10,000) (10,000) 0

    Loss (10,000) (50,000) 40,000

    NOTA

    VOIDA

    BLE

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    Add or Drop a Product

    KEEP CLUB ELIMINATE DIFFERENTIALSales $200,000 0 $200,000

    Food/Beverage (70,000) 0 (70,000)

    Personnel (40,000) 0 (40,000)

    Variable overhead (25,000) 0 (25,000)

    Contribution Margin 65,000 0 65,000

    Depreciation (30,000) (30,000) 0

    Supervisor salary (20,000) 0 (20,000)

    Insurance (10,000) (10,000) 0

    Airport fees ( 5,000) 0 ( 5,000)Allocated overhead (10,000) (10,000) 0

    Profit/Loss (10,000) (50,000) 40,000

    A

    V

    O

    ID

    A

    B

    LE

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    Add or Drop a Product

    KEEP CLUB ELIMINATE DIFFERENTIALSales $200,000 0 $200,000

    Food/Beverage (70,000) 0 (70,000)

    Personnel (40,000) 0 (40,000)

    Variable overhead (25,000) 0 (25,000)

    Contribution Margin 65,000 0 65,000

    Depreciation (30,000) (30,000) 0

    Supervisor salary (20,000) 0 (20,000)

    Insurance (10,000) (10,000) 0

    Airport fees ( 5,000) 0 ( 5,000)Allocated overhead (10,000) (10,000) 0

    Profit/Loss (10,000) (50,000) $ 40,000

    The positive $40,000differential amount reflects

    the fact that the company is

    $40,000 better off by

    keeping the club.

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    Add or Drop a Product

    KEEP CLUB ELIMINATE DIFFERENTIALSales $200,000 0 $200,000

    Food/Beverage (70,000) 0 (70,000)

    Personnel (40,000) 0 (40,000)

    Variable overhead (25,000) 0 (25,000)Contribution Margin 65,000 0 65,000

    Avoidable fixed costs

    Supervisor salary (20,000) 0 (20,000)

    Airport fees ( 5,000) 0 ( 5,000)

    Profit/Loss $ 40,000 $ 40,000

    Worldwide airlines would also lose the contributionmargin of $65,000. The club contributes $40,000 to

    Worldwides fixed costs.

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    Contribution margin from

    general airline operations

    that will be forgone if club

    is eliminated . . . . . . . . . . . $ 60,000

    0

    $ 60,000

    Add or Drop a Product

    The Opportunity Cost of

    lost contribution margin is$60,000.

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    Contribution margin from

    general airline operations

    that will be forgone if club

    is eliminated . . . . . . . . . . . $ 60,000

    0

    $ 60,000Profit/Loss $ 40,000 0 $ 40,000

    Monthly profit of

    KEEPING the club open $100,000

    =======

    Conclusion

    Worldwide is better off by

    $100,000 per month by

    keeping their club open.

    KEEP THE CLUB OPEN!

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    Copyright 2008 by The McGraw-Hill Companies, Inc. All rights reserved.McGraw-Hill/Irwin

    Learning

    Objective6

    S i l D i i i

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    Special Decisions inManufacturing Firms

    Joint Products:Sell or Process Further

    A joint production process resulting in twoor more products. The point in theproduction process where the joint

    products are identifiable as separateproducts is called the split-off point.

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    Cocoa beans

    costing $500

    per ton

    Joint Production

    process costing

    $600 per ton

    Cocoa butter

    sales value

    $750 for

    1,500 pounds

    Cocoa powdersales value

    $500 for

    500 pounds

    Separableprocess

    costing

    $800

    Instant cocoa

    mix sales value

    $2,000 for

    500 pounds

    Joint Processingof Cocoa Bean

    Total joint cost:$1,100 per ton

    Split-off point

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    Joint

    Costs Joint Products

    Sales Value

    at Split-Off

    Relative

    Proportion

    Allocation

    of Joint

    CostsCocoa Butter 750$ 60%

    Cocoa Powder1,100$

    Joint Products

    Relative Sales Value Method

    $750 $1,250 = 60%

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    Joint Products

    Relative Sales Value Method

    Joint

    Costs Joint Products

    Sales Value

    at Split-Off

    Relative

    Proportion

    Allocation

    of Joint

    CostsCocoa Butter 750$ 60% 660$

    Cocoa Powder 500 40% 440

    1,250$ 100% 1,100$

    1,100$

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    Joint Products

    Cocoa butter is sold at the end of the jointprocessing.

    Cocoa powder may be sold now or processed

    into instant cocoa mix. Further processingcosts of $800 will be incurred if the companyelects to make instant cocoa mix.

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    Joint Products

    Sales value of instant cocoa mix 2,000$

    Sales value of cocoa powder 500

    Incremental revenue 1,500$

    Less: separable processing costs (800)

    Net benefit of further processing 700$

    Process Further

    The cocoa powder should beprocessed into instant cocoa mix.

    ( )

    Decisions Involving Limited

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    Decisions Involving LimitedResources

    Firms often face the problem of decidinghow limited resources are going to be used.

    Usually, fixed costs are not affected by thisdecision, so management can focus onmaximizing total contribution margin.

    Lets look at the Martin, Inc. example.

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    Limited Resources

    Lets calculate the contribution margin per unitof the scarce resource, the lathe.

    Products

    Webs Highs

    Contribution margin per unit $ 24 ?

    Time required to produce one unit 1.00 min. ?Contribution margin per minute 24$ min. ?

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    Limited Resources

    Lets calculate the contribution margin per unitof the scarce resource, the lathe.

    Highs should be emphasized. It is the more valuableuse of the scarce resource the lathe, yielding a

    contribution margin of $30 per minute as opposed to$24 per minute for the Webs.

    Products

    Webs Highs

    Contribution margin per unit $ 24 $ 15Time required to produce one unit 1.00 min. 0.50 min.Contribution margin per minute 24$ min. 30$ min.

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    Limited Resources

    Lets calculate the contribution margin per unitof the scarce resource, the lathe.

    If there are no other considerations, the best plan wouldbe to produce to meet current demand for Highs and

    then use remaining capacity to make Webs.

    Products

    WebsHighs

    Contribution margin per unit $ 24 $ 15

    Time required to produce one unit 1.00 min. 0.50 min.Contribution margin per minute 24$ min. 30$ min.

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    Limited ResourcesLets see how this plan would work.

    Allotting the Scarce ResourceThe Lathe

    Weekly demand for Highs 2,200 units

    Time required per unit x .50 minutesTime required to make Highs 1,100 minutes

    Total lathe time available 2,400 minutesTime used to produce Highs 1,100 minutes

    Time available for Webs 1,300 minutesTime required per unit x 1.00 minuteProduction of Webs 1,300 units

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    Limited Resources

    According to the plan, Martin will produce2,200 Highs and 1,300 Webs. Martins

    contribution margin looks like this.

    Webs HighsProduction 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 Martin, Inc. is $64,200.Any other combination would result in less contribution.

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    Theory of Constraints

    Binding constraints can limit a companysprofitability.

    To relax constraints management can . . .

    Outsource Work overtime

    Retrain employeesReduce non-value-

    added activities

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    Expected Values

    From our last example, recall the the contributionmargin for Webs was $24 and $15 for Highs.

    Possible value

    of contribution

    margin Probability

    Expected

    Value23.00$ 30% 6.90$

    24.00 50% 12.00

    25.00 20% 5.00

    23.90$

    Possible value

    of contribution

    margin Probability

    Expected

    Value14.00$ 10% 1.40$

    15.00 40% 6.00

    16.00 50% 8.00

    15.40$

    Due to uncertainty, assume we have the following

    probable contribution margins for the two products.

    Webs Highs

    Martin would use the expected valuecontribution margins in its decision about

    utilizing its limited resource - the lathe.

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    Other Issues in Decision Making

    Incentives for

    Decision Makers

    Short-RunVersus

    Long-RunDecisions

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    Copyright 2008 by The McGraw-Hill Companies, Inc. All rights reserved.McGraw-Hill/Irwin

    Learning

    Objective7

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    Other Issues in Decision Making

    Pitfalls to Avoid

    Sunkcosts.

    Unitized

    fixed costs.

    Allocatedfixed costs.

    Opportunity

    costs.

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    End of Chapter 14


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