Ch 08 Support Dept Costs

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    Inter-department Cost

    Allocations

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    The Need for Cost Allocations

    OperatingDepartments

    Carry out themanufacturing

    operations

    ServiceDepartments

    Provide supportto the

    operatingdepartments

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    We identify the factorthat drives costs in the

    service department.

    Thiscost driveris usedas theallocation base.

    The Need for Cost Allocations

    How are servicedepartment costs

    charged to operating

    departments?

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    The Need for Cost Allocations

    First Stage AllocationsService department costs are

    allocated to operating departments.ServiceDepartment(Cafeteria)

    ServiceDepartment

    (Accounting)

    ServiceDepartment

    (Personnel)

    OperatingDepartment(Machining)

    OperatingDepartment(Assembly)

    TheProducts

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    The Need for Cost Allocations

    ServiceDepartment(Cafeteria)

    ServiceDepartment

    (Accounting)

    ServiceDepartment

    (Personnel)

    OperatingDepartment(Machining)

    OperatingDepartment(Assembly)

    TheProducts

    Second Stage Allocations

    Operating department overhead costs andallocated service department costs are

    applied to products.

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    Interdepartmental Services

    Problem

    Allocating costs when service departmentsprovide services to each other

    Solutions

    Direct MethodStep method

    Reciprocal method

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    Departmental costs and benefit patterns

    Service Department Allocation Base

    Cafeteria Number of employees

    Custodial Square feet occupied

    Note that each of the service departmentsreceives reciprocal benefits.

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    Departmental costs and benefit patterns

    It is sometimes useful to express the benefit patterns of the servicedepartments in percentage terms:

    Service departments Operating departments Totals

    CAF CUS MACH ASMB

    Initial charges $600,000 $480,000 $100,000 $100,000 $1,280,000

    CAF benefits (%) -- 30% 20% 50% 100%

    CUS benefits (%) 20% -- 60% 20% 100%

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    Direct Method

    ServiceDepartment(Cafeteria)

    Service

    Department(Custodial)

    OperatingDepartment(Machining)

    Operating

    Department(Assembly)

    Interactionsbetween servicedepartments areignored and all

    costs areallocated directly

    to operating

    departments.

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    Direct Method Example

    Service Department Allocation Base

    Cafeteria Number of employees

    Custodial Square feet occupied

    The direct method will ignore the services provided byservice Departments to other service departments. Ifso, what proportion Of the custodial departments

    costs will be allocated to each production dept.?

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    Direct Method Example

    Allocation base: Square feet occupied

    5,00015,000 + 5,000

    $480,000 = $120,000

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    OperatingDepartment(Machining)

    Operating

    Department(Assembly)

    Step Method

    Once a servicedepartments costs

    are allocated,other service

    department costsare not allocated

    back to it.

    ServiceDepartment(Cafeteria)

    Service

    Department(Custodial)

    How do we identify the order in which the service departmentcosts are to be allocated? Does it matter if Custodial costs

    are allocated first (before the Cafeteria costs)?

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    Step Method #1:Cafeteria allocated first.

    ServiceDepartment(Cafeteria)

    Service

    Department(Custodial)

    OperatingDepartment(Machining)

    Operating

    Department(Assembly)

    Custodial willhave a new

    total to allocateto operating

    departments; itsown costs plus

    those costs

    allocated fromthe cafeteria.

    Service departments Operating departments Totals

    CAF CUS MACH ASMB

    Initial charges $600,000 $480,000 $100,000 $100,000 $1,280,000

    CAF benefits (%) -- 30% 20% 50% 100%

    CUS benefits (%) 20% -- 60% 20% 100%

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    Step Method #1 Example

    Service Department Allocation Base

    Cafeteria Number of employees

    Custodial Square feet occupied

    Service departments Operating departments Totals

    CAF CUS MACH ASMB

    Initial charges $600,000 $480,000 $100,000 $100,000 $1,280,000

    CAF benefits (%) -- 30% 20% 50% 100%

    CUS benefits (%) 20% -- 60% 20% 100%

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    Step Method#1 Example

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    Step Method #2:Custodial allocated first.

    ServiceDepartment(Custodial)

    Service

    Department(Cafeteria)

    OperatingDepartment(Machining)

    Operating

    Department(Assembly)

    Cafeteria willhave a new

    total to allocateto operating

    departments; itsown costs plus

    those costs

    allocated fromthe custodialdepartment.

    Service departments Operating departments Totals

    CAF CUS MACH ASMB

    Initial charges $600,000 $480,000 $100,000 $100,000 $1,280,000

    CAF benefits (%) -- 30% 20% 50% 100%CUS benefits (%) 20% -- 60% 20% 100%

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    Step Method #2 Example

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    Reciprocal Method

    Interdepartmentalservices are given

    full recognitionrather than partialrecognition as withthe step method.

    ServiceDepartment(Cafeteria)

    Service

    Department(Custodial)

    OperatingDepartment(Machining)

    Operating

    Department(Assembly)

    Question: Is the step method always more accurate than the directmethod? In order to answer this question, we must know the

    correct answer, I.e., the reciprocal method results.

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    Reciprocal Method of Interdepartmental Cost Allocation

    First, it is useful to express each service departments benefit

    pattern in percentages:

    Service departments Operating departments Totals

    CAF CUS MACH ASMB

    Initial charges $600,000 $480,000 $100,000 $100,000 $1,280,000

    CAF benefits (%) -- 30% 20% 50% 100%CUS benefits (%) 20% -- 60% 20% 100%

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    Reciprocal Method of Interdepartmental Cost Allocation

    1. Define the total costs in each of the service departments

    as follows:

    Total cost = Initial charges + allocations from other cost pools

    Service departments Operating departments TotalsCAF CUS MACH ASMB

    Initial charges $600,000 $480,000 $100,000 $100,000 $1,280,000

    CAF benefits (%) -- 30% 20% 50% 100%

    CUS benefits (%) 20% -- 60% 20% 100%

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    Reciprocal Method of Interdepartmental Cost Allocation

    1. Define the total costs in each of the service departments

    as follows:

    Total cost = Initial charges + allocations from other cost pools

    Cafeteria: CAF = $ 600,000 + (.20) CUS

    Custodial: CUS = $ 480,000 + (.30) CAF

    Service departments Operating departments Totals

    CAF CUS MACH ASMB

    Initial charges $600,000 $480,000 $100,000 $100,000 $1,280,000

    CAF benefits (%) -- 30% 20% 50% 100%

    CUS benefits (%) 20% -- 60% 20% 100%

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    Reciprocal Method of Interdepartmental Cost Allocation

    1. Define the total costs in each of the service departments

    as follows:

    Total cost = Initial charges + allocations from other cost pools

    Cafeteria: CAF = $ 600,000 + (.20) CUS

    Custodial: CUS = $ 480,000 + (.30) CAF

    Solution: CAF = $ 740,000 *

    CUS = $ 702,000 ** Solution amounts are rounded to the nearest $1,000.

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    Reciprocal Method of Interdepartmental Cost Allocation

    1. Define the total costs in each of the service departments

    as follows:

    Total cost = Initial charges + allocations from other cost pools

    Cafeteria: CAF = $ 600,000 + (.20) CUS

    Custodial: CUS = $ 480,000 + (.30) CAF

    Solution: CAF = $ 740,000 *

    CUS = $ 702,000 ** Solution amounts are rounded to the nearest $1,000.

    2. Allocate costs to the operating departments based on their

    percentage use of the allocation base (see next slide)

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    Reciprocal Method of Interdepartmental Cost Allocation

    Cafeteria: CAF = $ 600,000 + (.20) CUS

    =$740,000

    Custodial: CUS = $ 480,000 + (.30) CAF

    =$702,000

    Solution: MACH=$100,000 + (.20)CAF + (.60)CUS)

    =$100,000 + $148,000 + $421,000

    =$669,000

    ASBY=$100,000 + (.50)CAF + (.20)CUS)

    =$100,000 + $370,000 + $141,000

    =$611,000

    Service departments Operating departments Totals

    CAF CUS MACH ASMB

    Initial charges $600,000 $480,000 $100,000 $100,000 $1,280,000

    CAF benefits (%) -- 30% 20% 50% 100%CUS benefits (%) 20% -- 60% 20% 100%

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    Comparison of Methods *

    Allocationmethod Machining Assembly Total

    Direct $ 631,000 $ 649,000 $ 1,280,000

    Step #1 $ 715,000 $ 565,000 $ 1,280,000

    Step #2 $ 587,000 $ 693,000 $ 1,280,000

    Reciprocal $ 669,000 $ 611,000 $ 1,280,000

    Note that in this case, the direct method provides costs that arenearest to the correct costs, as determined by the reciprocal

    method. This may not always be the case.

    * Solution amounts are rounded to the nearest $1,000.

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    Allocating Costs by Behavior

    VariableCosts

    Chargetooperating

    departments based onthe usageof theallocation base.

    FixedCosts

    Allocateto operating departments

    in proportion to the

    long-term capacityrequired by the

    operating department.

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    Handout 8 (a):

    Interdepartmental Allocations,

    Alternative Methods

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    The Nestling company has two support departments, Custodial (CU) and Repair (RP). All

    support department costs are allocated to production departments A and B. The service

    department work done in the most recent period was distributed as follows (in percentages):

    Services used by:

    CU RP A B Total

    Services supplied by:

    CU -- 40% 15% 45% 100%

    RP 20% -- 60% 20% 100%

    The total variable costs incurred in the two support departments were as follows:

    $ 315,000 in Department CU and $ 150,000 in Department RP.

    Required:

    (a) Determine the total dollar amounts of support department costs that would be allocated

    to each of the producing departments using the direct method.

    Allocation to A: $________________________

    Allocation to B: $________________________

    Services used by:

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    Required:

    (a) Determine the total dollar amounts of support department costs that would be allocated to

    each of the producing departments using the direct method.

    Services used by:

    CU RP A B Total

    Initial charges $315,000 $150,000 -- -- $465,000

    Services supplied by:

    CU ($315,000) $78,750 $236,250

    RP ($150,000) $112,500 $37,500

    Total charges -- -- $191,250 $273,750 $465,000

    Allocation to A: $_________191,250_______

    Allocation to B: $_________273,750_________

    CU RP A B Total

    Services supplied by:

    CU -- 40% 15% 45% 100%

    RP 20% -- 60% 20% 100%

    Services used by:

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    (b) Determine the dollar amounts of support department costs that would be allocated each

    department A using the step method, using the ordering of the departments shown above

    (i.e., CU first, and RP second).

    CU RP A B Total

    Services supplied by:

    CU -- 40% 15% 45% 100%

    RP 20% -- 60% 20% 100%

    Services used by:

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    (b) Determine the dollar amounts of support department costs that would be allocated

    each department A using the step method, using the ordering of the departments

    shown above (i.e., CU first, and RP second).

    CU RP A B Total

    Services supplied by:

    CU -- 40% 15% 45% 100%

    RP 20% -- 60% 20% 100%

    Services used by:

    CU RP A B Total

    Initial charges $315,000 $150,000 -- -- $465,000

    Services supplied by:

    CU ($315,000) $126,000 $47,250 $141,750

    RP ($276,000) $207,000 $69,000

    Total charges -- -- $254,250 $210,750 $465,000

    (c) Determine the dollar amounts of support department costs that would be

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    ( ) pp p

    allocated to each of the producing departments using the reciprocal method.

    First, set up the simultaneous equations and solve for the total costs in the service

    departments:Services used by:

    CU RP A B Total

    Services supplied by:

    CU -- 40% 15% 45% 100%

    RP 20% -- 60% 20% 100%

    (c) Determine the dollar amounts of support department costs that would be

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    ( ) pp p

    allocated to each of the producing departments using the reciprocal method.

    First, set up the simultaneous equations and solve for the total costs in the service

    departments:

    CU = $315,000 + (.2) RP

    RP = $150,000 + (,4) CU

    Services used by:

    CU RP A B Total

    Services supplied by:

    CU -- 40% 15% 45% 100%

    RP 20% -- 60% 20% 100%

    (c) Determine the dollar amounts of support department costs that would be

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    ( ) pp p

    allocated to each of the producing departments using the reciprocal method.

    First, set up the simultaneous equations and solve for the total costs in the service

    departments:

    CU = $315,000 + (.2) RP

    RP = $150,000 + (,4) CU

    Services used by:

    CU RP A B Total

    Services supplied by:

    CU -- 40% 15% 45% 100%

    RP 20% -- 60% 20% 100%

    Solution: CU = $375,000

    RP = $300,000

    Allocation to A: A = (.15) ($375,000) + (.60) ($300,000)

    = $236,250

    Allocation to B: B = (.45) ($375,000) + (.20) ($300,000)

    = $228,750