service and production departmentcost allocation

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    ServiceDepartment(Cafeteria)

    ServiceDepartment(Accounting)

    ServiceDepartment(Personnel)

    Production

    Department(Machining)

    Production

    Department(Assembly)

    TheProduct

    Directand

    IndirectCosts

    Service and Production DepartmentCost Allocation

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    ServiceDepartment

    (Cafeteria)Service

    Department(Accounting)

    ServiceDepartment(Personnel)

    Production

    Department(Machining)

    Production

    Department(Assembly)

    TheProduct

    Directand

    IndirectCosts

    Service and Production DepartmentCost Allocation

    First Phase:Trace direct costsand allocate indirect costs to all departments

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    ServiceDepartment(Cafeteria)

    ServiceDepartment(Accounting)

    ServiceDepartment(Personnel)

    Production

    Department(Machining)

    Production

    Department(Assembly)

    TheProduct

    Directand

    IndirectCosts

    Service and Production DepartmentCost Allocation

    Second Phase: Allocateservice department costs

    to production departments.

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    ServiceDepartment(Cafeteria)

    ServiceDepartment(Accounting)

    ServiceDepartment(Personnel)

    Production

    Department(Machining)

    Production

    Department(Assembly)

    TheProduct

    Directand

    IndirectCosts

    Service and Production DepartmentCost Allocation

    Third Phase: Allocate production department overhead

    costs to products.

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    Methods of Allocating ServiceDepartment Costs

    Problem

    Allocating costs when service departments

    provide services to each other

    Solutions

    Direct methodStep method

    eciprocal method

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    Direct Method

    ServiceDepartment(Cafeteria)

    Service

    Department(Custodial)

    ProductionDepartment(Machining)

    Production

    Department(Assembly)

    Cost of servicesbeteen servicedepartments areignored and all

    costs areallocated directly

    to user

    departments!

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    Direct Method !"ample

    Service Department Allocation #ase

    Cafeteria $umber of emplo%ees

    Custodial S&uare feet occupied

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    $umber of emplo%ees /0 /) 1) ')

    S&uare feet occupied 0*))) 1*))) 10*))) 0)*)))

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    Direct Method

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 2 2 2 2

    Custodial allocation 2 2 2 2

    Total after allocation 2 2 2 2

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    Direct Method

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'()*)))4 ) /--*))) 2

    Custodial allocation 2 2 2 2

    Total after allocation 2 2 2 2

    +'()*))) 5 1)1) 6 ')

    7 +/--*)))

    Allocation base: $umber of emplo%ees

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    Direct Method

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'()*)))4 ) /--*))) 1/(*)))

    Custodial allocation 2 2 2 2

    Total after allocation 2 2 2 2

    +'()*))) 5 ')1) 6 ')

    7 +1/(*)))

    Allocation base: $umber of emplo%ees

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    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'()*)))4 ) /--*))) 1/(*)))

    Custodial allocation ) 3,)*)))4 ')*))) 2

    Total after allocation + ) + ) 0.-*)))+ 2

    Direct Method

    +,)*))) 5 10*)))10*))) 6 0)*)))

    7 +')*)))

    Allocation base: S&uare feet occupied

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    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'()*)))4 ) /--*))) 1/(*)))

    Custodial allocation ) 3,)*)))4 ')*))) ()*)))

    Total after allocation + ) + ) 0.-*)))+ ,.(*)))+

    Direct Method

    0)*)))10*))) 6 0)*)))

    7 +()*)))+,)*))) 5

    Allocation base: S&uare feet occupied

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    Step Method

    Service departmentcosts are allocated

    to other servicedepartments and

    to productiondepartments" usually

    starting ith theservice department

    that provides thegreatest amount of

    service to otherdepartments!

    ServiceDepartment(Cafeteria)

    Service

    Department(Custodial)

    ProductionDepartment(Machining)

    Production

    Department(Assembly)

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    Step Method

    ServiceDepartment(Cafeteria)

    Service

    Department(Custodial)

    ProductionDepartment(Machining)

    Production

    Department(Assembly)

    #nce a servicedepartment$s costs

    are allocated"other service

    department costsare not allocated

    bac% to it!

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    Step Method

    Custodial illhave a ne

    total to allocateto production

    departments& itson costs plus

    those costs

    allocated fromthe cafeteria!

    ServiceDepartment(Cafeteria)

    Service

    Department(Custodial)

    ProductionDepartment(Machining)

    Production

    Department(Assembly)

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    Step Method !"ample

    Service Department Allocation #ase

    Cafeteria $umber of emplo%ees

    Custodial S&uare feet occupied

    8e will use the same data used in the direct method e"ample.

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    $umber of emplo%ees /0 /) 1) ')

    S&uare feet occupied 0*))) 1*))) 10*))) 0)*)))

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    Step Method

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 2 2 2 2

    Custodial allocation 2 2 2 2

    Total after allocation 2 2 2 2

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    Step Method

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'()*)))4 ()*))) 2 2

    Custodial allocation 2 2 2 2

    Total after allocation 2 2 2 2

    +'()*))) 5/)

    /) 6 1) 6 ')7 +()*)))

    Allocation base: $umber of emplo%ees

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    Step Method

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'()*)))4 ()*))) /1)*))) 2

    Custodial allocation 2 2 2 2

    Total after allocation 2 2 2 2

    +'()*))) 5 1)/) 6 1) 6 ')

    7 +/1)*)))

    Allocation base: $umber of emplo%ees

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    Step Method

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'()*)))4 ()*))) /1)*))) /9)*)))

    Custodial allocation 2 2 2 2

    Total after allocation 2 2 2 2

    +'()*))) 5 ')/) 6 1) 6 ')

    7 +/9)*)))

    Allocation base: $umber of emplo%ees

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    Step Method

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'()*)))4 ()*))) /1)*))) /9)*)))

    Custodial allocation 2 3/0)*)))4 2 2

    Total after allocation 2 + ) 2 2

    $ew total 7 +,)*))) original custodial costplus +()*))) allocated from the cafeteria.

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    Step Method

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'()*)))4 ()*))) /1)*))) /9)*)))

    Custodial allocation ) 3/0)*)))4 0)*))) 2

    Total after allocation + ) + ) 0.)*)))+ 2

    10*)))10*))) 6 0)*)))

    7 +0)*)))+/0)*))) 5

    Allocation base: S&uare feet occupied

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    Step Method

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'()*)))4 ()*))) /1)*))) /9)*)))

    Custodial allocation ) 3/0)*)))4 0)*))) /))*)))

    Total after allocation + ) + ) 0.)*)))+ ,9)*)))+

    7 +/))*)))+/0)*))) 5

    Allocation base: S&uare feet occupied

    0)*)))10*))) 6 0)*)))

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    eciprocal Method

    Interdepartmentalservices are given

    full recognitionrather than partialrecognition as iththe step method!

    ServiceDepartment(Cafeteria)

    Service

    Department(Custodial)

    ProductionDepartment(Machining)

    Production

    Department(Assembly)

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    eciprocal Method !"ample

    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    $umber of emplo%ees /0 /) 1) ')

    S&uare feet occupied 0*))) 1*))) 10*))) 0)*)))

    Service Department Allocation #ase

    Cafeteria $umber of emplo%ees

    Custodial S&uare feet occupied

    8e will use the same data used in the previous e"amples.

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    eciprocal Method

    The total cost of each service department is e&ual to:

    Direct costs of that department

    6 Costs allocated to that department

    The Cafeteria Department receives:

    0*)))

    0*))) 6 10*))) 6 0)*)))7 of Custodial costs.

    //(

    The Custodial Department receives:

    /)

    /) 6 1) 6 ')7 of Cafeteria costs.

    /(

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    eciprocal Method

    Cu ' Total costs of Custodial Department

    Ca ' Total costs of Cafeteria Department

    n e&uation form:

    Cu 7 +,)*))) 6 Ca

    and

    Ca 7 +'()*))) 6

    Cu

    /(

    //(

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    eciprocal Method

    n e&uation form:

    Cu 7 +,)*))) 6 Ca

    and

    Ca 7 +'()*))) 6 Cu

    /(

    //(

    Two e&uations and two un;nowns are solved b% substitution:

    Ca 7 +'()*))) 6 3+,)*))) 6 Ca4

    Ca 7 +'(,*-- 3rounded4

    and

    Cu 7 +,)*))) 6 3+'(,*--4 7 +/0/*0,

    /

    /(

    /

    (

    /(

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    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 2 2 2 2

    Custodial allocation 2 2 2 2

    Total after allocation 2 2 2 2

    eciprocal Method

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    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'(,*-.-4 (/*0., 2 2

    Custodial allocation 2 2 2 2

    Total after allocation 2 2 2 2

    +'(,*-- 5 /)/) 6 1) 6 ')

    7 +(/*0,

    Allocation base: $umber of emplo%ees

    eciprocal Method

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    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'(,*-.-4 (/*0., /1'*/09 2

    Custodial allocation 2 2 2 2

    Total after allocation 2 2 2 2

    +'(,*-- 5 1)/) 6 1) 6 ')

    7 +/1'*/09

    Allocation base: $umber of emplo%ees

    eciprocal Method

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    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'(,*-.-4 (/*0., /1'*/09 /9-*.'.

    Custodial allocation 2 2 2 2

    Total after allocation 2 2 2 2

    +'(,*-- 5 ')/) 6 1) 6 ')

    7 +/9-*'

    Allocation base: $umber of emplo%ees

    eciprocal Method

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    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'(,*-.-4 (/*0., /1'*/09 /9-*.'.

    Custodial allocation ,*-.- 3/0/*0.,4 2 2

    Total after allocation + ) + ) 2 2

    eciprocal Method

    0*)))0*))) 6 10*))) 6 0)*)))

    7 +,*-- 3rounded4+/0/*0, 5

    Allocation base: S&uare feet occupied

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    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'(,*-.-4 (/*0., /1'*/09 /9-*.'.

    Custodial allocation ,*-.- 3/0/*0.,4 -.*'(9 2

    Total after allocation + ) + ) 0.)*01(+ 2

    eciprocal Method

    10*)))0*))) 6 10*))) 6 0)*)))

    7 +-*'(9 3rounded4+/0/*0, 5

    Allocation base: S&uare feet occupied

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    Service Departments Production Departments

    Cafeteria Custodial Machining Assembl%

    Departmental costs

    before allocation '()*)))+ ,)*)))+ -))*)))+ .))*)))+

    Cafeteria allocation 3'(,*-.-4 (/*0., /1'*/09 /9-*.'.

    Custodial allocation ,*-.- 3/0/*0.,4 -.*'(9 ,-*.'.

    Total after allocation + ) + ) 0.)*01(+ ,.,*-.-+

    eciprocal Method

    0)*)))0*))) 6 10*))) 6 0)*)))

    7 +,-*' 3rounded4+/0/*0, 5

    Allocation base: S&uare feet occupied

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    Comparison of Methods

    Totals after allocation

    Machining Assembl%

    Method Department Department

    Direct 0.-*)))+ ,.(*)))+

    Step 0.)*))) ,9)*)))

    eciprocal 0.)*01( ,.,*-.-

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    Comparison of Methods

    The reciprocal method is superior because&

    It considers all services provided to otherservice departments!

    The total cost of operating a service departmentis computed!

    The reciprocal methodreuires the use of matri*algebra ith three or moreservice departments!

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    +ointInput

    CommonProductionProcess

    ,inalSale

    ,inal

    Sale

    Split-#ffPoint

    +ointCosts #il

    .asoline

    Additional

    Processing

    SeparateProcessing Costs

    AdditionalProcessing

    SeparateProcessing Costs

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    Sales valueat split=off

    able?alue

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    +ointInput

    CommonProductionProcess

    Split-#ffPoint

    +ointCosts #il

    .asoline

    Ph%sical Measure Method

    /01"111 gallons

    231"111 gallons

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    CommonProductionProcess

    Split-#ffPoint

    #il

    .asoline

    /01"111 gallons

    231"111 gallons

    +oint material

    cost ' 4/56"111

    +oint conversioncost ' 4//6"111

    Ph%sical Measure Method

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    Product

    @il asoline Total

    @utput &uantities in gallons 1-)*))) '()*))) ())*)))

    Proportionate share:

    2

    2

    Allocated Boint costs:

    2

    2

    Ph%sical Measure Method

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    Product

    @il asoline Total

    @utput &uantities in gallons 1-)*))) '()*))) ())*)))

    Proportionate share:

    1-)*))) ())*))) -)

    '()*))) ())*))) ()

    Allocated Boint costs:

    2

    2

    Ph%sical Measure Method

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    Product

    @il asoline Total

    @utput &uantities in gallons 1-)*))) '()*))) ())*)))

    Proportionate share:

    1-)*))) ())*))) -)

    '()*))) ())*))) ()

    Allocated Boint costs:

    +0))*))) 5 -) 1))*)))+

    +0))*))) 5 () '))*)))+

    Ph%sical Measure Method

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    +ointInput

    CommonProductionProcess

    Split-#ffPoint

    +ointCosts #il

    .asoline

    Sales ?alue at Split=@ff Method

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    +oint material

    cost ' 4/56"111

    CommonProductionProcess

    Split-#ffPoint

    +oint conversioncost ' 4//6"111 #il

    .asoline

    4/11"111sales value atsplit-off point

    4311"111

    sales value atsplit-off point

    Sales ?alue at Split=@ff Method

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    Product

    @il asoline Total

    Sales value at split=off point 1))*)))+ ())*)))+ 9))*)))+

    Proportionate share:

    2

    2

    Allocated Boint costs:

    2

    2

    Sales ?alue at Split=@ff Method

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    Product

    @il asoline Total

    Sales value at split=off point 1))*)))+ ())*)))+ 9))*)))+

    Proportionate share:

    +1))*))) +9))*))) 10

    +())*))) +9))*))) 0

    Allocated Boint costs:

    2

    2

    Sales ?alue at Split=@ff Method

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    Sales ?alue at Split=@ff Method

    Product

    @il asoline Total

    Sales value at split=off point 1))*)))+ ())*)))+ 9))*)))+

    Proportionate share:

    +1))*))) +9))*))) 10

    +())*))) +9))*))) 0

    Allocated Boint costs:

    +0))*))) 5 10 /10*)))+

    +0))*))) 5 0 '0*)))+

    4/56"111 7oint conversion cost plus4//6"111 7oint material cost

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    $et eali>able ?alue Method

    f products re&uire further processingbe%ond the split=off point before the%are mar;etable* it ma% be necessar% to

    estimatethe net reali>able value at thesplit=off point.

    8stimated9:;

    ,inalSales;alue

    AddedProcessing

    Costs'

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    +ointInput

    CommonProductionProcess

    ,inalSale

    ,inal

    SaleSplit-#ff

    Point

    +ointCosts #il

    .asoline

    Additional

    Processing

    AdditionalProcessing Costs

    AdditionalProcessing

    AdditionalProcessing Costs

    $et eali>able ?alue Method

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    CommonProductionProcess

    Sales;alue

    4611"111

    Split-#ffPoint" Sales

    ;alue

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    Product

    @il asoline Total

    Sales value 0))*)))+ /*1))*)))+ /*.))*)))+

    Eess additional processing costs 2 2 2

    !stimated $? at split=off point 2 2 2Proportionate share:

    2

    2

    Allocated Boint costs:

    2

    2

    $et eali>able ?alue Method

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    Product

    @il asoline Total

    Sales value 0))*)))+ /*1))*)))+ /*.))*)))+

    Eess additional processing costs 1))*))) 0))*))) .))*)))

    !stimated $? at split=off point '))*)))+ .))*)))+ /*)))*)))+Proportionate share:

    2

    2

    Allocated Boint costs:

    2

    2

    $et eali>able ?alue Method

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    Product

    @il asoline Total

    Sales value 0))*)))+ /*1))*)))+ /*.))*)))+

    Eess additional processing costs 1))*))) 0))*))) .))*)))

    !stimated $? at split=off point '))*)))+ .))*)))+ /*)))*)))+Proportionate share:

    +'))*))) +/*)))*))) ')

    +.))*))) +/*)))*))) .)

    Allocated Boint costs:

    2

    2

    $et eali>able ?alue Method

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    Product

    @il asoline Total

    Sales value 0))*)))+ /*1))*)))+ /*.))*)))+

    Eess additional processing costs 1))*))) 0))*))) .))*)))

    !stimated $? at split=off point '))*)))+ .))*)))+ /*)))*)))+Proportionate share:

    +'))*))) +/*)))*))) ')

    +.))*))) +/*)))*))) .)

    Allocated Boint costs:

    +0))*))) 5 ') /0)*)))+

    +0))*))) 5 .) '0)*)))+

    $et eali>able ?alue Method

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    #%=Product Costing

    =! Asset :ecognition Methods&

    a! 9et :eali>able ;alue Method

    b! #ther Income at Production Point Method

    /! :evenue Methods&

    a! #ther Income at Selling Point Method

    b! Manufacturing Cost :eduction at Selling

    Point Method