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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