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    Relevant Cost Decisions

    DECISION MAKING IN THE SHORTTERM

    By : Dr. Pranav Saraswat

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    Decisions

    A decision model is a formal methodof making a choice, often involvingboth quantitative and qualitativeanalyses

    A relevant costis a cost thatdiffers between alternatives.

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    Five-StepDecision-Making Process

    Step 1:

    Obtain

    Information

    Step 5:

    Evaluate

    Performance

    Step 4:

    Implement

    TheDecision

    Step 3:

    Choose

    AnAlternative

    Step 2:

    Make

    Predictions

    AboutFuture

    Costs

    Feedback

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    Relevance

    Relevant Information has twocharacteristics:

    It occurs in the future

    It differs among the alternative coursesof action

    Relevant Costs expected future

    costs Relevant Revenues expected future

    revenues

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    Identifying Relevant Costs

    Costs that can be eliminated (in whole or inpart) by choosing one alternative overanother are avoidable costs. Avoidable

    costs are relevant costs.Unavoidable costs are never relevant and

    include:

    Sunk costs.

    Future costs that do not differbetween thealternatives.

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    Identifying Relevant Costs

    gather all costs associated with thealternatives

    eliminate all sunk costs Eliminate all future costs thatdont

    differ between alternatives

    left are the avoidable costs

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    Irrelevance

    Historical costs are past costs thatare irrelevant to decision making

    Also called Sunk Costs- cost that hasalready been incurred and that cannot beavoided regardless of what a managerdecides to do

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    Types of Information

    Quantitative factors are outcomesthat can be measured in numericalterms

    Qualitative factors are outcomes thatare difficult to measure accurately innumerical terms, such as satisfaction

    Are just as important as quantitativefactors even though they are difficult tomeasure

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    Terminology

    Incremental Cost the additionaltotal cost incurred for an activity

    Differential Cost the difference in

    total cost between two alternatives Incremental Revenue the additional

    total revenue from an activity

    Differential Revenue the differencein total revenue between twoalternatives

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    Types of Decisions

    One-Time-Only Special Orders

    Insourcing vs. Outsourcing

    Make or Buy Product-Mix

    Customer Profitability

    Branch / Segment: Adding orDiscontinuing

    Equipment Replacement

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    One-Time-Only Special Orders

    Accepting or rejecting special orderswhen there is idle production capacityand the special orders have no long-run implications

    Decision Rule: does the special ordergenerate additional operating

    income? Yes accept

    No reject

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    One-Time-Only Special Orders

    Compares relevant revenues andrelevant costs to determineprofitability

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    Special Orders

    Acki Company receives a one-time order thatis not considered part of its normal ongoingbusiness.

    Acki Company only produces one type of

    silver key chain with a unit variable cost ofTL 16. Normal selling price is TL 40 per unit.

    A company in KKTC offers to purchase 3,000units for TL 20 per unit.

    Annual capacity is 10,000 units, and annualfixed costs total TL78,000, but Acki companyis currently producing and selling only 5,000units.

    Should Acki accept the offer?

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    Special Orders

    Acki Company

    Contribution Income Statement

    Revenue (5,000 TL40) TL200.000

    Variable costs:

    Direct materials TL40.000

    Direct labor 10.000

    Manufacturing overhead 20.000

    Marketing costs 10.000

    Total variable costs 80.000

    Contribution margin 120.000

    Fixed costs:Manufacturing overhead TL78.000

    Marketing costs 25.000

    Total fixed costs 103.000Net income TL17.000

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    Special Orders

    If Acki accepts the offer, net income willincrease by TL 12.000.

    Increase in revenue (3,000 TL20) TL60.000Increase in costs (3,000 TL16 variable cost) 48.000Increase in net income TL12.000

    Using the incremental approach:Special order contribution margin = TL20 TL 16 = TL 4Change in income = TL 4 3,000 units = TL 12.000.

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    The Make or Buy Decision

    A decision concerning whether an itemshould be produced internally or

    purchased from an outside supplier iscalled a make or buy decision.

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    The Make or Buy Decision

    MA Company is thinking of buying a part that iscurrently used in one of its products fromoutside.

    The unit cost to make this part is:TL/ u

    Direct materials 27

    Direct labor 15

    Variable overhead 3

    Depreciation of special equip. 9Supervisor's salary 6

    General factory overhead 30Total cost per unit 90

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    The Make or Buy Decision

    General factory overhead is allocated on thebasis of direct labor hours and is not going tochange if the parts are bought from outside.

    The 90TL unit cost is based on 20,000 partsproduced each year.

    An outside supplier has offered to providethe 20,000 parts at a cost of 70TL per part.

    Should we accept the suppliers offer?

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    Cost

    Per

    Unit Cost of 20,000 Units

    Make Buy

    Outside purchase price 70 1.400.000

    Direct materials 27 540.000

    Direct labor 15 300.000

    Variable overhead 3 60.000

    Depreciation of equip. 9 0

    Supervisor's salary 6 120.000

    General factory overhead 30 0Total cost 90 1.020.000 1.400.000

    The Make or Buy Decision

    Not avoidable and is irrelevant. If the product is dropped, it will

    be reallocated to other products.

    Sunk Cost

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    The Make or Buy Decision

    DECISION RULE

    In deciding whether to accept the outsidesuppliers offer, MA isolated the relevantcosts of making the part by eliminating:

    The sunk costs.

    The future costs that will not differ

    between making or buying the parts.

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    Product-Mix Decisions

    The decisions made by a companyabout which products to sell and inwhat quantities

    Decision Rule (with a constraint):choose the product that produces thehighest contribution margin per unit

    of the constraining resource

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    Utilization of a ConstrainedResource

    Firms often face the problem ofdeciding how to best utilize aconstrained resource.

    Usually, fixed costs are not affectedby this particular decision, somanagement can focus on

    maximizing total contributionmargin.

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    Utilization of a ConstrainedResource

    UM Company produces two products andselected data is shown below:

    Product

    1 2Selling price per unit TL60 TL50

    Less variable expenses per unit 36 35

    Contribution margin per unit TL24 TL15

    Current demand per week (units) 2.000 2.200

    Contribution margin ratio 40% 30%

    Processing time requiredon machine A1 per unit 1,00 min. 0,50 min.

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    Utilization of a ConstrainedResource

    Machine A1 is the constrained resource.There is excess capacity on all othermachines. Machine A1 is being used at

    100% of its capacity, and has a capacityof 2,400 minutes per week.

    Should UM focus its efforts onProduct 1 or 2?

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    Utilization of a Constrained Resource

    Lets calculate the contribution margin per unit of theconstrained resource, machine A1.

    Product 2 should be emphasized. Provides morevaluable use of the constrained resource machine A1,

    yielding a contribution margin of TL 30 per minute as

    opposed to TL 24 for Product 1.

    Product

    1 2

    Contribution margin per unit TL24 TL15

    Time required to produce one unit 1,00 min. 0,50 min.

    Contribution margin per minute TL24 min. TL30 min.

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    Utilization of a ConstrainedResource

    Lets calculate the contribution margin per unit of thescarce resource, machine A1.

    Lets see how this plan would work.

    If there are no other considerations, the best plan would beto produce to meet current demand for Product 2 and then

    use remaining capacity to make Product 1.

    Product

    1 2Contribution margin per unit TL24 TL15

    Time required to produce one unit 1,00 min. 0,50 min.

    Contribution margin per minute TL24 min. TL30 min.

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    Utilization of a ConstrainedResource

    Lets see how this plan would work.

    Allocation of Constrained Resource

    Weekly demand for Product 2 2.200 unitsTime required per unit 0,50 min.

    Total time required to make

    Product 2 1.100 min.

    Total time available 2.400 min.

    Time used to make Product 2 1.100 min.

    Time available for Product 1 1.300 min.

    Time required per unit 1,00 min.Production of Product 1 1.300 units

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    Utilization of a ConstrainedResource

    According to the plan, we will produce 2,200 units ofProduct 2 and 1,300 of Product 1. Our

    contribution margin looks like this.

    Product 1 Product 2

    Production and sales (units) 1.300 2.200

    Contribution margin per unit TL24 TL15Total contribution margin TL31.200 TL33.000

    The total contribution margin for UM is TL 64,200.

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    Managing Constraints

    Finding ways toprocess more unitsthrough a resource

    bottleneck

    Produce onlywhat can be sold.

    Streamline production process.

    Eliminate waste.

    At the bottleneck itself:Improve the process Add overtime or another shift

    Hire new workers or acquired

    more machines Subcontract production

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    Adding or Dropping Customers

    Decision Rule: Does adding ordropping a customer add operatingincome to the firm?

    Yes add or dont drop

    No drop or dont add

    Decision is based on profitability of

    the customer, not how much revenuea customer generates

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    Adding or DiscontinuingBranches or Segments

    Decision Rule: Does adding ordiscontinuing a branch or segmentadd operating income to the firm?

    Yes add or dont discontinue

    No discontinue or dont add

    Decision is based on profitability of

    the branch or segment, not howmuch revenue the branch or segmentgenerates

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    Sales 1.000.000

    Less: variable expenses

    Variable mfg. costs 240.000

    Variable shipping costs 10.000

    Commissions 150.000 400.000

    Contribution margin 600.000Less: fixed expenses

    General factory overhead 120.000

    Salary of line manager 180.000

    Depreciation of equipment 100.000

    Advertising - direct 200.000

    Rent - factory space 140.000General admin. expenses 60.000 800.000

    Net loss (200.000)

    Income Statement for 2007

    Digital Musical Instruments

    Adding/Dropping Segments

    General Factory Overhead and General Administrative Expenses are unavoidablecosts.

    Assume that the equipment used in manufacturing digital instruments has no resale value or

    alternative use.

    Should the company drop digital instrumentsdivision?

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    Incremental Approach

    DECISION RULE

    UM should drop the digital instrumentsdivision only if the avoided fixed costs

    of the division exceed lostcontribution margin of this division.

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    Incremental Approach

    Contribution Margin

    Solution

    Contribution margin lost if digital

    instrument division is dropped (600.000)

    Less fixed costs that can be avoided

    Salary of the line manager 180.000

    Advertising - direct 200.000

    Rent - factory space 140.000 520.000

    Net disadvantage (80.000)

    What about depreciation?

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    Comparative Income Approach

    Prepare comparative income statementsshowing results with and without the

    digital instruments division.

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    Comparative Income Approach

    Solution

    Keep Digital

    Instruments

    Drop Digital

    Instruments DifferenceSales 1.000.000 0 (1.000.000)

    Less variable expenses: 0

    Mfg. expenses 240.000 0 240.000

    Freight out 10.000 0 10.000

    Commissions 150.000 0 150.000

    Total variable expenses 400.000 0 400.000Contribution margin 600.000 0 (600.000)

    Less fixed expenses:

    General factory overhead 120.000 120.000 0

    Salary of line manager 180.000 0 90.000

    Depreciation 100.000 100.000 0

    Advertising - direct 200.000 0 100.000

    Rent - factory space 140.000 0 70.000General admin. expenses 60.000 60.000 0

    Total fixed expenses 800.000 280.000 260.000Net loss (200.000) (280.000) (340.000)

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    Joint Product Costs

    In some industries, a number of endproducts are produced from a single rawmaterial input.

    Two or more products produced from acommon input are calledjoint products.

    The point in the manufacturing processwhere each joint product can berecognized as a separate product iscalled the split-off point.

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    Joint Products

    JointInput

    Common

    ProductionProcess

    Split-OffPoint

    JointCosts

    Oil

    Gasoline

    Chemicals

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    Joint Products

    JointInput

    Common

    ProductionProcess

    Separate

    Processing

    Separate

    Processing

    Final

    Sale

    Final

    Sale

    FinalSale

    Split-OffPoint

    JointCosts

    SeparateProductCosts

    Oil

    Gasoline

    Chemicals

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    The Pitfalls of Allocation of JointCosts

    Joint costs are really common costsincurred to simultaneously produce avariety of end products.

    Joint costs are often allocated to endproducts on the basis of the relativesales value of each product or on

    some other basis.

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    Sell or Process Further

    Decision Rule:

    It will always profitable to continueprocessing a joint product after the

    split-off point so long as theincremental revenue exceeds theincremental processing costs incurredafter the split-off point.

    Lets look at the Kere example.

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    Sell or Process Further

    Kere Company cuts logs from whichunfinished lumber and sawdust are theimmediate joint products.

    Unfinished lumber is sold as is orprocessed further into finished lumber.

    Sawdust can also be sold as is togardening wholesalers or processed

    further into ready-logs.

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    Sell or Process Further

    Data about Keres joint products includes:

    Per Log

    Lumber Sawdust

    Sales value at the split-off point TL140 TL40

    Sales value after further processing 270 50

    Allocated joint product costs 176 24

    Cost of further processing 50 20

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    Sell or Process Further

    Analysis

    Per Log

    Lumber Sawdust

    Sales value after further processing TL270 TL50

    Sales value at the split-off point 140 40Incremental revenue 130 10

    Cost of further processing 50 20Profit (loss) from further processing TL80 (TL10)

    Should Kere process the lumberfurther and sell the sawdust as is?

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    Behavioral Implications

    Despite the quantitative nature ofsome aspects of decision making, notall managers will choose the best

    alternative for the firm Managers could engage in self-

    serving behavior such as delayingneeded equipment maintenance in

    order to meet their personalprofitability quotas for bonusconsideration