Chapter 3
Cost Allocation
                  1
  Cost Allocation
Cost allocation Is the process of assignment or applying collected indirect
 costs to a cost object using an allocation base.
The ultimate goal of cost allocation       is to make certain that all costs
 incurred by the organization are eventually assigned to products or services.
The purpose of cost allocation includes cost based pricing, bidding/request,
 cost reimbursement/repayment/compensation from outside parties like
 insurance companies, valuation of inventory, determination of income and
 all other economic decisions.                                                   2
 Product cost Elements
Are broadly classified in to three: they are
     Direct material cost
     Direct labor cost
     Manufacturing overhead costs (indirect costs)
Also called inventoriable costs.
                                                      3
  Cont.
Direct costs are conveniently and economically traced to a specific cost
 object
Direct materials and Direct labor costs are referred as direct cost.
Indirect costs cannot be conveniently or economically traced to a specific
 cost objective.
Any production cost not classified as a direct cost is an indirect
                                                                         4
 Cost allocation and related terms
Cost Allocation: the process of assigning or applying collected
 indirect costs to cost objects using an allocation base.
Cost object: is the destination of all assigned or allocated costs.
• E.g. A cost may be assigned to a particular product, service or
 department.
                                                               5
 Cont.
Cost pool: is a collection of overhead costs related to a cost object (a
 product related activity).
Cost driver: is an activity that causes the cost pool to change
 (increase/decrease)    in    amount   as   the   cost   driver   changes
 (increase/decrease) in volume.
                                                                        6
Purposes of cost allocation
 To provide information for economic decisions:
For making decisions like add a new product to existing,
 make or buy a product, and pricing of a product.
The true cost can be arrived only if the manufacturing
 overhead cost is properly and correctly assigned.
                                                      7
Cont.
To motivate mangers and other employees:
To encourage the design of products that is simpler to manufacture or less costly to
 service
To encourage sales representatives to increase high margin product or services.
 To justify cost or compute reimbursement:
To fix the fair price for a product.
To get reimbursement for a consulting firm the correct and true costs are to be arrived.
                                                                                     8
  Cont.
 To measure income and assets for reporting to external parties:
To report inventories correctly in financial reporting to stockholders,
 bondholders etc.
To cost inventories for reporting to tax authorities.
                                                                    9
Criteria to guide cost allocation decisions
Cause and Effect
Identify the variable or variables that cause resources to be consumed.
E.g. Managers may use hours of testing as the variable when allocating the costs of quality testing
 area to products.
Benefits Received
Identify the beneficiaries of the outputs of the cost object.
The costs are allocated among the beneficiaries in proportion to the benefits receives.
E.g. corporate wide advertising program that promotes the general image of the corporation rather
 than any individual product.
Divisions with higher revenues apparently benefit from the advertising more than divisions with
                                                                                             10
Cont.
Fairness or Equity
Is often cited in government contracts when cost allocations are the basis for
 establishing a price satisfactory.
A “reasonable” or “fair” means of establishing a selling price
Ability to bear
Allocating costs in proportion to the cost objects ability to bear them.
E.g. Allocation of corporate executive salaries on the basis of division operating
 income.
The presumption is that the more profitable divisions have a greater ability to absorb
 corporate headquarters’ costs.                                                  11
Steps in the process of applying manufacturing overhead
1. Planning step
Predetermined overhead rate is calculated in traditional settings
Activity pool rate is calculated in activity based costing settings
No journal entry is required during this stage.
                                                                       12
Cont.
Application step
The estimated manufacturing overhead costs are assigned to the products costs as
 units are manufactured.
The actual cost driver level is multiplied by the predetermined manufacturing
 overhead rate or activity pool rate for that cost driver
      Applied manufacturing               Actual cost       *       Predetermined
manufacturing
    overhead cost           =     driver level              overhead rate
                                                                              13
 Cont…
The journal entry to record the application of manufacturing overhead would
 be:
          Work in process inventory          debit
                       Manufacturing overhead              Credit
Example 1: Assume Afro company has incurred 78,000 birr direct labor cost
 for the month of April and from past experience of the company, the
 manufacturing overhead cost rate is 80% of direct labor costs.
This implies the overhead costs applied is Birr 62,400.
                                                                      14
cont
Work in process inventory    62,400
            Manufacturing overhead    62,400
                                               15
  Cont.
3. Recording     step
Record the actual manufacturing overhead costs incurred during the period
These costs will be part of the actual product costs
Include the costs of indirect materials, indirect labor, depreciation, property taxes and other
 production cost.
Journal entry:
          Manufacturing overhead cost        debit
                             Cash or A/p                  Credit
The credited account will also be various accounts that stands for accounts
 payable, wages payable and other accounts like depreciation costs, tax paid,16 etc.)
In the previous example under the application step, the actual overhead
 cost incurred by Afro company in the month of April indicates that Birr
 12,000 for indirect materials purchased on account, indirect labor cost of
 Birr 28,000 and other manufacturing costs other than indirect materials and
 indirect labor are Birr 28,000.
Manufacturing overhead cost        68,000
                 various accounts 68,000
                                                                         17
Cont….
4. Reconciliation step
The difference between the applied manufacturing overhead costs and the actual
 overhead costs is calculated at the end of accounting period.
If applied manufacturing overhead is more than the actual manufacturing overhead
 called over- applied overhead
If applied overhead is less than the actual manufacturing overhead called under-
 applied overhead
Here both adjustment for difference is made based on the materiality of the amount.
                                                                                18
  Cont.
If the amount is Immaterial (less in amount)
   1. for over applied
           Manufacturing overhead         debit
                         Cost of goods sold          credit
  2. For under applied
      Cost of goods sold        debit
                 Manufacturing overhead cost      credit
                                                              19
  Cont.
Note that if the difference is material (more) then the adjustments are made to
 finished goods, cost of goods sold and work in process
Example: Refer the previous example and make the adjustments by assuming:
a. The amount is immaterial
b. The amount is material and assume at the end of April the company has Birr
   50,000 work in process, Birr 30,000 finished goods reported in its balance
   sheet and Birr 120,000 cost of goods sold reported in its income statement.
                                                                           20
   Cont
A. Cost of goods sold     5,600
          Manufacturing overhead cost 5,600
B. Cost of goods sold      3,360
Work in process         1,400
Finished goods            840
            Manufacturing overhead cost       5,600
                                                      21
 Cont….
Example 2
Assume for Delt corporation the applied manufacturing overhead is Br.320,000 and the Actual
  manufacturing overhead cost is Br.300,000 for the month of July.
Required:
Pass the necessary journal entries to apply the estimated overhead cost, to record the actually incurred
  overhead cost
Determine either over applied or under applied.
Make adjustments by assuming the difference is immaterial.
Make adjustments by assuming the difference is material. (work in process Br.28,000, finished goods
  Br.42,000 and cost of goods sold Br.130,000.)                                                 22
Manufacturing overhead allocation using the traditional
approach
 • A single predetermined overhead rate is used by many organizations for the
  application of manufacturing overhead.
 • This method is useful if companies manufacture only one product or two very
  similar products that require the same production related activities such as set
  up, inspection and material handling.
 • In the tradition approach of cost allocation, manufacturing overhead costs are
  allocated using a single cost pool and single cost allocation base.
                                                                             23
 Cont.
• The total manufacturing overhead cost represent one cost pool and a traditional
 activity base, such as direct labor hours, direct labor costs, machine hours or unit
 of production, become the cost driver.
• The calculation of the predetermined overhead costs under the traditional
 approach is based on the budgeted cost as a numerator and the budgeted
 allocation base as denominator.
• However, the application of manufacturing overhead costs to the products is
 based on the actual usage, i.e., the budgeted rate multiplied by the actual usage
 of the allocation base or cost driver by each product or batch of product.     24
   Example:
• Assume Philips TV set manufacture manufacturing 14” and 21” color TV sets.
• They are using the application of one cost pool of manufacturing overhead costs to
 two product lines.
• Suppose the Philips set manufactures choose machine hours as the cost driver.
• For the next year, the overhead cost will amount to $300,000 and that total
 machine hours worked will be 30,000 hours.
• During the year 10,000 machine hours were used to produce 5000, 14-inch TV sets
 and 20,000 machine hours were used to produce 4000, 21inch TV sets.
                                                                                25
    Solution
• Step1. First compute the predetermined overhead rate by using the
    traditional approach.
• Predetermined overhead = Budgeted cost
•                               Budgeted allocation base
                               300,000
•                           = $ 30,000
•                           =$ 10 per machine hour
                                                                  26
Step 2
• The second step is to apply manufacturing overhead to the products.
• Apply manufacturing overhead= predetermined rate x actual cost allocation base
• Philips Corporation the portion of manufacturing overhead cost applied to the 14inch
    TV sets
•                        = ($10 x 10,000 MH) = $100,000
•                     or ($100,000  5,000units) = $20 per unit
• The portion applied to 21-inch TV sets totaled ($10 x 20,000 MH) = $200,000
• or ($200,000  4000units)= $50 per unit                                          27
• Philips Corporation also wanted to calculate the normal product unit cost
    during the accounting period. The corporation supplied the following data for
    the two product lines:
•                                             14 inch                   21 inch
• Actual direct materials cost per unit          $ 70                      $ 80
• Actual direct labor        cost per unit              30
    40
• Prime cost per unit                          100                   120
                                                                            28
• Philips Corporation also wanted to calculate the normal product unit cost
    during the accounting period. The corporation supplied the following data for
    the two product lines:
•                                             14 inch                   21 inch
• Actual direct materials cost per unit          $ 70                      $ 80
• Actual direct labor        cost per unit              30
    40
• Prime cost per unit                          100                   120
                                                                            29
Manufacturing Overhead allocation using Activity based costing (ABC)
• Activity –Based Costing (ABC) is a method of assigning costs that calculates
 a more accurate product cost by categorizing all indirect costs by activity,
 tracing the indirect costs to those activities and assigning activity costs to
 product using cost driver that are related to the cause of the product.
• Activity Based costing focuses on activities performed to produce a product
 and categorizes (pools) the activities and activity costs based on their
 similarity.
                                                                           30
Cont.
• The manager will calculate a predetermined overhead rate or activity cost rate,
 for each activity pool and then use that rate and a cost driver amount to
 determine the portion of manufacturing overhead costs to assign to a product.
• Managers must select an appropriate number of activity pools for
 manufacturing overhead.
• A system must be designed to capture the actual cost driver amounts.
• ABC will improve the accuracy of product costs for organizations that sell
 many different types of products (product diversity) or use varying, significant
 amounts of different production related activities to complete the products. 31
 Cont.
• Thus, ABC, by assigning overhead costs based on the relative use of
 overhead resources, would provide managers with better information for
 making decisions related to fixing selling prices, determination of accurate
 income, ask compensation, tax refunds, inventory valuation and make or
 buy decisions.
• Determination of accurate costs of products or services avoids
 understatement or overstatement of income and inventory valuation.
                                                                         32
 Example
• Philips Corporation analyzed the production related activities and decided
 that the estimated $300,000 in manufacturing overhead cost should be
 grouped into four activity pools.
• The 1st activity, setup, includes estimated total costs of $100,000 for indirect
 labor and indirect materials used in preparing machines for each batch of
 production.
• The 2nd   activity, inspection, includes $90,000 for salaries and costs of
 indirect materials, indirect labor and depreciation on testing equipment.   33
Cont.
• Packaging, the 3rd activity, includes estimated total costs of $ 65,000 for
 indirect materials, indirect labor and equipment depreciation.
• The last activity, building, includes wages, property taxes, insurance,
 security and all other costs not related to the first three activities.
• After identifying the four activity pools, Philips Corporation selected a cost
 driver and estimated the cost driver level for each activity pool.
                                                                            34
The following schedule shows those amounts by product line
and in total
  • Estimated Cost Driver Level
  • Cost driver                        14inch                    21inch
                Total
  • Number of setups              500             500                 1,000
  • Number of inspections         250             350                   600
  • Packaging hours             1,200           1,300                 2,500
  • Machine hours               14,000                  16,000
        30,000
                                                                          35
• Step 1 Calculation of overhead activity cost rates
•      Activity cost pool rate = Estimated activity pool cost
•                                 Budgeted cost driver level
• Activity    Estimated                       Cost driver       activity
• Pool        Activity pool                          level              cost rate
•         Amount     Cost Driver
• Set up      $100,000 No. of set ups       1,000 setups           $100per setup
• Inspection  90,000      No. of inspections 600 inspections      $150per
  inspection
• Packaging   65,000     Packaging hours 2,500 packing hours      $26per packing
  hour
• Building   45,000       Machine hours 30,000Machine hours        1.5per machine
  hour                                                                       36
 Step 2: Application of manufacturing overhead costs to
 production:
 • Cost applied = Activity cost pool rate x actual cost driver level
                                                       14 inch                              21 inch
Activity pool   Activity cost rate        Cost Driver level      Cost applied   Cost Driver level      Cost applied
Set up          $100 per set up           *500 set ups            $ 50,000      *500 set ups            $50,000
Inspection      $150 per inspection       *250 inspection         $ 37,500      *350 inspections        $52,500
Packing         $26 per packing hour      *1,200 packing hour      $31,200      *1,300 packing hour     $33,800
Building        $1.5 per Machine hour     *14,000 Machine hour     $21,000      *16,000 Machine hour    $24,000
                    Total                                        $ 139,700                             $ 160,300
                Number of units                                      5,000                                4,000
                Manufacturing overhead cost per unit                  $ 28                                 $ 40
                                                                                                                      37
Product Unit Cost
                          14inch                21inch
Direct materials                   $ 70          $ 80
Direct labor              30               40
Manufacturing overhead             28            40
Product unit cost        128              160
                                                         38
Step 2
• In step 2, Philips Corporation applied manufacturing overhead to the two product lines
    using the cost driver level for each product multiplied by the activity cost rate shown.
• For example, Philips Corporation applied cost to 14-inch model
•                         =($100 x 500 set-ups)
•                           =$50,000 in set up costs
• To the 21-inch model.
•                     =($100 x 500 set ups)
•                     =$50,000 to the 21-inch model.
                                                                                       39
  Allocating Costs from One Department to Another.
• Single-Rate and Dual-Rate Methods
• The single-rate allocation method pools all costs in one cost pool and allocates
 theses costs to cost objects using the same rate per unit of the single allocation base.
• There is no distinction between costs in a cost pool in terms of cost behavior, such
 as fixed costs versus variable costs.
• The dual-rate cost allocation method classifies costs in each cost pool into to sub
 cost pools, a variable cost pool and a fixed cost pool.
• Each of these pools uses a different cost allocation base.
                                                                                   40
    Example:
• Sand Hill Co. has a Central Computer Department; the department has two users, Microcomputer
  Division and Peripheral Equipment Division. The following data apply to the coming budget year.
• Fixed costs of operating the computer facility in the
• 6,000-18,000 hr relevant range                                   Br3, 000,000/year
• Total capacity available                                        18,000hrs
• Budgeted long-run usage
•       Microcomputer Division                             8,000hrs
•       Peripheral Equipment Division                      4,000hrs
•       Total                                         12,000hrs
• Budgeted variable cost per hour                                  $200/hour used
• Assume during the year the Microcomputer uses 9,000 hrs and Peripheral Equipment uses 3,000
  actual hours.                                                                        41
  1. Single Rate Allocation Method
• Total cost pool =3,000,000+200*12,000                5,400,000
• Budgeted usage                                       12,000hrs
•
• Budgeted totals rate per hour= 5,400,000 = Br.450/hr
•                                  12,000hrs
• Allocation rate for Microcomputer Division       Br. 450/hr
• Allocation rate for Peripheral Division                  Br. 450/hr
• Microcomputer=9000*450= Br. 4,050,000.
• Peripheral Equipment= 3000*450= Br.1, 350,000.
                                                                        42
    2. Dual-rate Allocation Method
• Allocation of Fixed Costs to:
• Microcomputer Division = 8000/1200hrs * 3,000,000 = Br. 2,000,000/year.
• Peripheral Equipment Division = 4000/12000hrs * 3,000,000 = Br.
 1,000,000/year.
• Allocation of variable costs to:
• Microcomputer: 2,000,000 + (200*9000) = Br. 3,800,000.
• Peripheral Equipment: 1,000,000 + (200*3000) = Br. 1,600,000.
                                                                       43
 Allocating Support Departments cost
• Operating and Support Departments
• Operating Department (Production Department) adds value to a product or service that is observable
 by a customer.
• Support Departments (Service Department) provide the service that assists other internal departments.
• Support Department creates a special cost allocation problem when they provide reciprocal support to
 each other as well as support to operating departments.
• Methods:
  A.   Direct Allocation Method
  B.   Step-Down Allocation Method
  C.   Reciprocal Allocation Method                                                            44
Example
• ABC Engineering has two Support Departments and Two operating Departments.
    Costs are accumulated in each department for planning and control purposes.
•         Support Departments                  Operating Departments
•         Plant Maintenance                    Machining
•         Information Systems                         Assembly
• The two support departments provide reciprocal support to each other as well as to
    the two operating departments. Costs are accumulated in each department for
    planning and control purpose.                                                 45
Departments
                Plant Main.Info. Systems.   Machining   Assembly
Total
Budgeted MOH cost
Before any inter-dept
Cost allocations      $600,000     $116,000 $400,000    $200,000
1,316,000
Support work finished
By plant maintenance
 Budgeted labor hrs    -           1,600       2,400      4,000
8,000
 Percentage        -           20%         30%       50% 100%
By Infor. System.
Budgeted com. Hrs      200       -             1600       200
200                                                            46
Required: Allocate costs using the three methods.
1.Direct Allocation Method
This method is the most widely used method of allocating
support department costs.
This method allocates each support department costs
directly to the operating departments.
   Information Systems                         Assembly
   Plant Maintenance
   Machining
                                                           47
  Support Departments            Operating Departments
                    Plant Main. Infor. Systems.     Machining    Assembly
Total
   Budgeted MOH cost
   Before any inter-dept
   Cost allocations        $600,000 $116,000         400,000     $200,000
1,316,000
   Allocation by Plant Mai. (600,000)                     225,000
375,000
   (2400/6400, 4000/6400)
   Allocation by Inf. Syste.   0        (116,000)          103,111
12,889
    (1600/1800, 200/1800)
   Total Budgeted MOH of           0                  $728,111       $578,889
$1,316,000                                                              48
• Advantage of this method:
• Simplicity
• No need to predict the usage of support department service by other support
 departments.
• Disadvantage
• Failure   to   recognize   reciprocal   services   provided   among   support
 departments.
                                                                           49
1.Step-Down Allocation Method (Sequential Allocation Method)
    1.Allows the partial recognition of the service rendered by support departments to other
    support departments.
    2.This method requires the support departments to be ranked (sequenced) in order that the
    step-down allocation is to proceed. Different sequences will result in different allocation of
    support department costs to operating departments.
    3.Popular step-down begins with the support department that renders the highest
    percentage of its total services to other support departments and so on, ending with the
    support department that renders the lowest percentage of its total services to other support
    departments.
          Plant Maintenance                              Machining
           Information Systems                           Assembly
                                                                                             50
Solution
•                         Support Departments          Operating Departments
•                    Plant Main.Infor. Systems.    Machining Assembly Total
• Budgeted MOH cost
• Before any inter-dept
• Cost allocations     $600,000       $116,000        $400,000   $200,000 1,316,000
• Allocation by Plant Mai. (600,000)      120,000      180,000 300,000
• (1600/8000, 2400/8000, 4000/8000)       236,000
• Allocation by Inf. Syste. 0     (236,000)      209,778 26,222
•  (1600/1800, 200/1800)
• Total Budgeted MOH of                       0           $789,778        $526,222
  $1,316,000
• Operating departments
• Note: The step-down method does not recognize the total services that support
  department provide to each other.                                             51
    Reciprocal Allocation Method
• Allocates cost by explicitly including the mutual services provided among all
 support departments.
• Conceptually the direct method and the step-down allocation method are less
 accurate than the reciprocal method when the support departments provide
 service to another reciprocally.
• The reciprocal method enables us to incorporate interdepartmental relationships
 fully not the support department cost allocations.
• Implementing the reciprocal allocation method requires three steps:      52
 Cont.
1. Express Support Department Costs and support department
reciprocal relationships in the form of Linear Equation.
• Let PM be the completed reciprocated costs of Plant Maintenance and
 IS be the complete reciprocated costs to Information Systems.
• PM = $600,000 + 0.1 IS
• IS = $116,000 + 0.2 PM
                                                                    53
Cont.
• 2. Solve the cost of linear equation to obtain the complete reciprocated costs
 of each support departments.
• PM = 600,000 + 0.1 (116,000 + 0.2PM)
• PM = 600,000 + 11,600 + 0.02PM
• 0.98PM = 611,600
• PM = $624,082
• IS = 116,000 + 0.2(624,082)
• IS = $ 240,816                                                           54
3. Allocate the complete reciprocated costs of each department
to all other departments (both support department and
operating departments).
                   Support Departments Operating Departments
                                         Plant Main.       Infor. Systems.       Machining      Assembly    Total
      Budgeted MOH cost
      Before any inter-dept
      Cost allocations                                 $600,000      $116,000          $400,000        $200,000
 1,316,000
      Allocation by Plant Mai.               (624,082)             124,816            187,225      312,041
     (1600/8000, 2400/8000, 4000/8000)
     Allocation by Inf. Syste.              24,082                      (240,816)            192,652          24,082
     (200/2000 1600/2000, 200/2000)
     Total Budgeted MOH of                             0                     0         $779,877        $536,123     $1,316,000
     Operating departments
           Plant Maintenance                                                       Machining
         Information Systems
         Assembly                                                                                                            55
Allocating Common Costs
• A common cost is a cost of operating a facility, activity, or like cost object that is shared by
 two or more users.
• Consider Ayele, a senior student in Addis Ababa University who has been invited to an
 interview with an employer in Mekele. The round trip Addis-Mekele airfare costs Br.1200.
• A week prior to leaving Ayele is also invited to an interview with an employer in Bahir Dar.
• The Addis- Bahir Dar round trip airfare costs Br. 800.
• Ayele decided to combine the two recurring trips into an Addis-Mekele- Bahir Dar trip that
 will cost $1,500 in airfare.
• The Br 1, 500 is a common cost that benefits both prospective employers
                                                                                           56
Two methods of allocating this common cost are:
• Stand-Alone Cost-Allocation Method
• This method uses information pertaining to each user of a cost object as a
  separate entity to determine the cost-allocation weights.
• For the common cost $1,500, information about the separate (stand alone)
  round-trip airfares ($1200, and $800) is used to determine the allocation
  weights.
                                                                        57
Mkele employer: $1,200               * 1,500 = 0.60*1,500= $900
                 $1,200 + $ 800
Bahir Dar employer:          $800          * 1,500 = 0.4 * 1,500 = $600
                      $800 + $1,200
Advantage: Fairness occurs because each employer bears a proportionate share
of total costs in relation to their individual stand-alone costs.
                                                                          58
  B. Incremental Cost Allocation Method
• This method ranks the individual users of a cost object and then uses this ranking to
 allocate costs among those users.
• The first ranked user of the cost object is termed the primary user.
• The second ranked user is termed the incremental party and is allocated the
 additional cost that arises from there being two users instead of only the primary
 user.
• Assume in the example the Mekele flight is viewed as the primary party.
• Ayele’s rational is that he had already committed to go to Mekele before accepting
 the invitations to interview in Bahir Dar.                                       59
The cost allocation would be:
Party                      Cost Allocated           Costs remaining to be
                                                 Allocated to other parties
        Mekele (primary)          $1,200               $300 ($1,500 - $1,200)
        Bahir Dar (incremental)            300                      0
Had the Bahir Dar employer been chosen as the primary party, the cost
allocations would have been Bahir Dar $800 and Mekele $700(1500-800).
Under the incremental method, the primary party typically receives the
highest allocation of the common costs.
Most users in common cost situations propose themselves as the                60
E
n
d
    61
   CHAPTER-4
PRODUCT COSTING
    SYSTEMS
                  62
   We are what we do repeatedly.
Therefore, excellence is a habit, not an
              incidence
                                           63
To do some thing and fail is experience,
real failure is not doing any thing at all
                                             64