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    Cost Allocation

    Unit 4

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    Learning Objective 1

    Allocation of Service

    Department Cost

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    Department Cost

    Producing Departments which include theproduction lines, are the cost accumulation centers inwhich work is performed directly on the goods beingproduced.

    Service Departments which include such activitiesas maintenance, personnel, employee services, andthe provision of heat, power and light are necessary for

    the entire factory including the producing departmentsto remain in operation.

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    Operating Departments

    Anoperating department carries outthe central purpose of the organization

    The SurgeryDepartment

    at Mount

    SinaiHospital.

    AProductionDepartment

    atMitsubishi.

    TheGeographyDepartment

    at the

    University ofWashington.

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    Service Departments

    Service departments do not directlyengage in operating activities.

    TheAccountingDepartment

    at Macys.

    The HumanResourcesDepartment

    at Walgreens.

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    Methods to Allocate

    Support Department Costs

    Single-rate methodallocates costs in each cost pool

    (service department) to cost objects (productiondepartments) using the same rate per unit of a singleallocation base

    No distinction is made between fixed and variable costs

    in this method.

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    Methods to Allocate

    Support Department Costs

    Dual-rate methodsegregates costs within each cost

    pool into two segments: a variable-cost pool and afixed-cost pool.

    Each pool uses a different cost-allocation base.

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    Allocation Method Trade-Offs

    Single-rate method is simple to implement, but treats

    fixed costs in a manner similar to variable costs. Dual-rate method treats fixed and variable costs more

    realistically, but is more complex to implement.

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    Allocation Bases Under either method, allocation of support costs

    can be based on one of the three followingscenarios:

    1. Budgeted overhead rate and budgeted hours2. Budgeted overhead rate and actual hours3. Actual overhead rate and actual hours

    Choosing between actual and budgeted rates:

    budgeted is known at the beginning of the period,whereas actual will not be known with certaintyuntil the end of the period

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    Level to use

    Activity Level to Use

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    Factors to be considered in the computation of

    Overhead Rate

    ACTIVITY LEVEL TO USE

    In the estimation of manufacturing overhead, as well as theestimation of the base to be used for allocation, it is important todetermine what capacity of production should be adopted.

    a. Ideal capacity

    b. Practical capacity

    c. Master-budget capacity

    d. Normal capacity

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    Activity Level to Use

    a. Ideal or Theoretical is the level of capacity based onproducing at full efficiency.

    b. Practical capacity is the level of capacity that reducestheoretical capacity by considering unavoidable operatinginterruptions, such as scheduled maintenance time, shut-downs for holidays and so on.

    Note:

    Both theoretical and practical capacity measures capacity interms of WHAT A PLANT CAN SUPPLY - availablecapacity. With difficulty, practical capacity is attainable.

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    Activity Level to Use

    c. Master-budget capacityis the level of capacity utilization

    that managers expect for the current budget period, which istypically one year.

    d. Normal capacity is the level of capacity utilization thatsatisfies average customer demand over a period (say two

    or three years) that includes seasonal, cyclical and trendfactors. This capac i ty is commonly used in thecom putat ions o f overhead rates.

    Note:

    In contrast, normal and master budget capacity utilizationmeasures capacity level in terms ofDEMAND for the output of theplant, that is the amount of available capacity the plant expects touse based on the demand for its products.

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    Predetermined Overhead Rate and Capacity

    Calculating predetermined overhead rates using anestimated, or budgeted amount of the allocation basehas been criticized because:

    1.Basing the predetermined overhead rate uponbudgeted activity results in product costs that fluctuatedepending upon the activity level.

    2.Calculating predetermined rates based upon

    budgeted activity charges products for costs that theydo not use.

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    Capacity-Based Overhead Rates

    Criticisms can be overcome by usingestimated total units in the allocation base

    at capacity in the denominator of the

    predetermined overhead rate calculation.

    Lets look at the difference!

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    An Example

    Equipment is leased for $100,000 peryear. Running at full capacity, 50,000units may be produced. The company

    estimates that 40,000 units will beproduced and sold next year. What is

    the predetermined overhead rate?

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    An Example

    Equipment is leased for $100,000 per year.Running at full capacity, 50,000 units may be

    produced. The company estimates that 40,000 unitswill be produced and sold next year.

    TraditionalMethod

    = $2.50 per unit$100,000

    40,000=

    CapacityMethod

    = $2.00 per unit$100,00050,000

    =

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    Income Statement Preparation Capacity

    Actual volume 40,000 casesSelling price $40.00 per case

    Variable production cost $24.00 per case

    Fixed manufacturing overhead $100,000 per year

    Capacity 50,000 cases

    Predetermined overhead rate $2.00 per caseFixed selling and admin. expense $500,000 per year

    Revenue 1,600,000$

    Cost of goods sold 1,040,000

    Gross margin 560,000Cost of idle capacity 20,000

    Selling and admin. expense 500,000

    Net operating income 40,000$

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    Allocation Costs of Multiple Support Departments

    DirectMethod

    Step-DownMethod

    ReciprocalMethod

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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 An Example

    Service Department Allocation Base

    Cafeteria Number of employees

    Custodial Square feet occupied

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    Direct Method An Example

    How much of the Cafeteria and Custodial costsshould be allocated to each operating department

    using the direct method of cost allocation?

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    Direct Method An Example

    Allocation base: Number of employees

    $360,000 2020 + 30

    = $144,000

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    Direct Method An Example

    Allocation base: Number of employees

    $360,000 3020 + 30

    = $216,000

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    Direct Method An Example

    Allocation base: Square feet occupied

    $90,000 25,00025,000 + 50,000

    = $30,000

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    Direct Method An Example

    Allocation base: Square feet occupied

    50,00025,000 + 50,000

    $90,000 = $60,000

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    OperatingDepartment(Machining)

    Operating

    Department(Assembly)

    Step-Down Method

    Once a servicedepartments costs

    are allocated,other service

    department costsare not allocated

    back to it.

    ServiceDepartment(Cafeteria)

    Service

    Department(Custodial)

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    Step-Down Method

    Also called the sequential allocation method

    Allocates support-department costs to other supportdepartments and to operating departments in a

    sequential manner Partially recognizes the mutual services provided

    among all support departments

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    Service Department Allocation Base

    Cafeteria Number of employees

    Custodial Square feet occupied

    We will use the same data usedin the direct method example.

    Step-Down Method An Example

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    Allocate Cafeteria costs first sinceit provides more service than Custodial.

    Step-Down Method An Example

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    $360,000 1010 + 20 + 30

    = $60,000

    Allocation base: Number of employees

    Step-Down Method An Example

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    $360,000 2010 + 20 + 30

    = $120,000

    Allocation base: Number of employees

    Step-Down Method An Example

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    $360,000 3010 + 20 + 30

    = $180,000

    Allocation base: Number of employees

    Step-Down Method An Example

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    New total = $90,000 original Custodial costplus $60,000 allocated from the Cafeteria.

    Step-Down Method An Example

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    $150,000 25,00025,000 + 50,000

    = $50,000

    Allocation base: Square feet occupied

    Step-Down Method An Example

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    Reciprocal or Algebraic Method

    Interdepartmentalservices are given

    full recognition

    rather than partialrecognition as withthe step method.

    ServiceDepartment(Cafeteria)

    ServiceDepartment

    (Custodial)

    OperatingDepartment(Machining)

    OperatingDepartment

    (Assembly)

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    This process requires three steps:

    1. Express support department costs and reciprocal relationships inthe form of Linear Equations.

    2. Solve the set of Linear Equations to obtain the completereciprocated costs of each support department.

    3. Allocate the complete reciprocated costs of each supportdepartment to all other departments (both support and operatingdepartments)

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    Service Department Allocation Base

    Cafeteria Number of employees

    Custodial Square feet occupied

    We will use the same data usedin the direct method example.

    Reciprocal Method An Example

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    Cafeteria = $360,000 + .0625 (Custodial)Custodial = $90,000 + .1667 (Cafeteria)

    Cafeteria = $360,000 + .0625 ($90,000 +.1667 Cafeteria)= $360,000 + $5,625 + .0104 Cafeteria

    = $365,625 / .9896= $369,467

    Custodial = $90,000 +.1667 ($369,467)= $90,000 + $61,590= $151,590

    Cafeteria Custodial

    Machining 33.33% 31.25%

    Assembly 50% 62.5%

    Cafeteria - 6.25%

    Custodial 16.67% -

    Reciprocal Method An Example

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    Machining Assembly Cafeteria Custodial

    Budgeted FO $400,000 $700,000 $ 360,000 $ 90,000

    Allocated FO

    Cafeteria $123,143 $184,734 ($369,467) $ 61,590

    Custodial $ 47,373 $ 94,743 $ 9,474 ($151,590)

    Total FO $570,516 $979,477 -7 -

    Reciprocal Method An ExampleCafeteria Custodial

    Machining 33.33% 31.25%

    Assembly 50% 62.5%

    Cafeteria - 6.25%

    Custodial 16.67% -

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    Data Used in Cost Allocation

    Illustrations

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    Reciprocal Allocation Method (Repeated

    Iterations) Illustrated

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    Choosing Between Methods

    Reciprocal is the most precise.

    Direct and step-down are simple to compute andunderstand.

    Direct method is widely used.

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    End of Unit 4