Study guide
6.2 Overhead Allocation, Apportionment & Reciprocal Reapportionment
ACCA Applied Knowledge — Management Accounting MA
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1 Chapter 1: Nature, Purpose & Source of Management Information
1.1 Role of Management Accounting, Planning Levels & Information Quality 1.2 Sources of Data, Big Data & Data Capture Costs 1.3 Cost Classification, Cost Behaviour & Coding Systems
2 Chapter 2: Cost Centres, Cost Units & Presenting Information
2.1 Cost Objects, Responsibility Centres & Managerial Needs 2.2 Presenting Management Information & Visualisation
3 Chapter 3: Sampling Methods, Statistical Summaries & Spreadsheets
3.1 Sampling Methods & Practical Selection 3.2 Data Summarisation, Dispersion & Probability in Decisions 3.3 Normal Distribution & Spreadsheet Applications in Accounting
4 Chapter 4: Forecasting Techniques, Time Series & Index Numbers
4.1 Linear Functions & The High-Low Method 4.2 Correlation, Linear Regression & Product Life Cycle 4.3 Time Series Analysis & Index Numbers
5 Chapter 5: Accounting for Materials & Inventory Control
5.1 Material Procedures, Physical Control & Inventory Valuation 5.2 Economic Order Quantity & Bulk Purchase Discounts 5.3 Economic Batch Quantity & Inventory Reorder Levels
6 Chapter 6: Accounting for Labour & Overhead Costs
6.1 Accounting for Labour, Remuneration Systems & Labour Ratios 6.2 Overhead Allocation, Apportionment & Reciprocal Reapportionment 6.3 Overhead Absorption Rates & Under/Over Absorption
7 Chapter 7: Marginal Costing & Absorption Costing
7.1 Marginal Costing, Contribution & Cost-Volume-Profit Analysis 7.2 Profit Comparison & Reconciliation Between Absorption and Marginal Costing
8 Chapter 8: Costing Methods & Alternative Principles
8.1 Job Costing, Batch Costing & Service/Operation Costing 8.2 Process Costing, Losses, Gains & Joint/By-Products 8.3 Alternative Cost Accounting: ABC, Target Costing & Life-Cycle Costing
9 Chapter 9: Budgetary Planning, Preparation & Behaviour
9.1 Budgetary Framework, Administration & The Principal Budget Factor 9.2 Functional Budgets, Cash Budgets & Master Budgets 9.3 What-If Analysis, Motivation & Behavioural Aspects of Budgeting
10 Chapter 10: Flexible Budgets & Capital Investment Appraisal
10.1 Flexible Budgets & Budgetary Control Reporting 10.2 Capital Expenditure, Compounding & Discounting Fundamentals 10.3 Discounted Cash Flow: NPV, IRR & Payback Methods
11 Chapter 11: Standard Costing & Basic Cost Variances
11.1 Standard Costing Purpose, Principles & Standard Cost Cards 11.2 Sales Price, Sales Volume & Direct Material Variances 11.3 Direct Labour & Overhead Variances
12 Chapter 12: Variance Investigation & Operating Statements
12.1 Variance Investigation, Interrelationships & Reverse Calculations 12.2 Operating Statements & Profit Reconciliations
13 Chapter 13: Performance Measurement Framework & Financial Analysis
13.1 Mission Statements, Objectives & Contextual Influences 13.2 Financial Performance: Profitability & Operating Efficiency Ratios 13.3 Financial Performance: Liquidity & Financial Gearing Ratios
14 Chapter 14: Divisional Performance, Multidimensional Models & Quality
14.1 Divisional Performance: Return on Investment & Residual Income 14.2 The Balanced Scorecard, Critical Success Factors & KPIs 14.3 Value for Money (3Es), Resource Utilisation & Non-Profit Performance 14.4 Quality Management, Benchmarking, Cost Control & Cost Reduction
6.2 Overhead Allocation, Apportionment & Reciprocal Reapportionment
Key Takeaways Explain This Topic AI
Overheads are indirect costs that cannot be traced directly to a cost unit; absorption costing collects overheads across cost centres to calculate full production costs for inventory valuation and pricing.
The 3-stage framework consists of Stage 1 Allocation (charging whole overheads directly to identifiable cost centres), Stage 2 Apportionment (sharing general overheads across cost centres using equitable bases), and Stage 3 Reapportionment (transferring service cost centre costs to production cost centres).
Common apportionment bases follow cause-and-effect drivers: floor area for rent, rates, and building insurance; machine carrying value for plant depreciation and insurance; kWh/machine hours for power; and employee headcount for canteen, HR, and safety.
Service cost centres must be completely emptied into production cost centres because service departments support manufacturing cells but do not directly produce saleable goods.
When service departments provide mutual support, reciprocal reapportionment is solved using either the algebraic simultaneous equations method or the iterative repeated distribution method.
Last updated: September 2026
Overhead Allocation, Apportionment & Reciprocal Reapportionment
Core Principle: Overheads represent indirect costs that cannot be directly or economically traced to a specific cost unit. To comply with International Accounting Standard IAS 2 (Inventories) and establish realistic full-cost prices, businesses must systematically channel indirect production expenses into product unit costs through the classic three-stage absorption costing framework: Allocation, Apportionment, and Service Cost Centre Reapportionment.
- 1. The Nature and Definition of Overheads
- Direct vs. Indirect Expenses
In cost accounting, expenses divide into direct and indirect categories:
Direct Expenses: Expenses incurred specifically and exclusively for a single cost unit, job, or contract (e.g., patent royalties payable per unit produced, software license fees dedicated to a single client contract, or the hire of a specialised crane for a custom construction job). Direct expenses form part of Prime Cost .
Indirect Expenses (Overheads): All other operational expenses that cannot be economically traced to a single unit. Overheads represent the shared infrastructure and operational support necessary to sustain commercial activity. Total Cost = Prime Cost (Direct Materials + Direct Labour + Direct Expenses) + Overheads \text{Total Cost} = \text{Prime Cost (Direct Materials + Direct Labour + Direct Expenses)} + \text{Overheads} Total Cost = Prime Cost (Direct Materials + Direct Labour + Direct Expenses) + Overheads
Classification of Overheads by Function
Production (Manufacturing) Overheads: All indirect costs incurred within the factory gates from receipt of raw materials to delivery of the finished item to the warehouse (e.g., factory rent, machine depreciation, heating, lighting, supervisors' wages, maintenance supplies).
Administration Overheads: Costs incurred in directing, managing, and administering the enterprise (e.g., executive salaries, corporate headquarters rent, internal audit, legal fees).
Selling & Distribution Overheads: Costs incurred in marketing, securing sales orders, and physically delivering products to customers (e.g., advertising, sales commissions, showroom lease, delivery vehicle depreciation, logistics fuel).
Why Production Overheads Must Be Absorbed: IAS 2 Compliance
Under IAS 2 (Inventories) , inventory valuation on the Statement of Financial Position must include not only prime costs but also a systematic allocation of fixed and variable production overheads incurred in converting materials into finished goods. Non-production overheads (administration, selling, distribution) are excluded from inventory valuation and treated as period expenses written off to the Statement of Profit or Loss.
2. The Three-Stage Absorption Costing Framework
To establish an accurate overhead absorption rate for products, cost accountants process overheads through three sequential stages: Stage 1: ALLOCATION
Charge whole, identifiable overhead items directly to specific cost centres.
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- Stage 2: APPORTIONMENT
Share general overhead costs between production and service cost centres using equitable bases.
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- Stage 3: REAPPORTIONMENT
Transfer all service cost centre costs into production cost centres (Direct, Step-Down, or Reciprocal).
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- Result: Total Overhead Assigned Exclusively to Production Cost Centres
- (Ready for calculating Overhead Absorption Rates)
- Stage 1: Allocation
Allocation is the process of charging an entire, discrete overhead cost item directly to a single cost centre without any division or apportionment. Allocation occurs when an expenditure can be uniquely identified with a specific department.
Examples: The salary of the supervisor of the Machining Department is allocated 100% to Machining; specific repair parts for a machine in the Finishing Department are allocated 100% to Finishing; catering supplies for the canteen are allocated 100% to the Canteen Cost Centre.
Stage 2: Apportionment
Apportionment is the process of sharing joint or general overhead costs between two or more cost centres (both production and service centres) on an equitable, fair, and logical basis that reflects the benefit received or the cause-and-effect cost driver.
Standard Apportionment Bases
Selecting an equitable apportionment base is a central topic in the ACCA exam:
Overhead Cost Category Most Equitable Apportionment Base Rationale / Cost Driver
Factory Rent, Business Rates, Building Insurance Floor area occupied ( m 2 m^2 m 2 or f t 2 ft^2 f t 2 ) Physical building space directly dictates property rental and occupancy cost.
Heating and Air Conditioning Floor area or cubic volume ( m 3 m^3 m 3 ) Space conditioned reflects heating/cooling energy requirements.
Depreciation & Insurance of Machinery Carrying value (cost or NBV) of plant/equipment Higher-value machinery incurs proportionately higher depreciation and insurance premiums.
Machine Maintenance & Repairs Machine hours worked or machine carrying value Operating runtime and capital intensity drive maintenance wear-and-tear.
Factory Power / Industrial Electricity Kilowatt hours (kWh) or (Machine hours × Horsepower rating) Actual energy consumption reflects power draw and operating duration.
Canteen, Staff Welfare, HR & First Aid Number of employees (headcount) Service scale is directly proportional to the number of people supported.
Stores & Materials Handling Number of material requisitions, weight, or value of issues Material movement frequency and physical handling effort drive store costs.
General Factory Supervision & Lighting Direct labour hours or number of light fittings / floor area Supervision scales with worker hours; lighting correlates with space/fittings.
Tip
Apportionment Calculation Rule: To apportion an overhead to Cost Centre i i i : Apportioned Cost i = Total Overhead × ( Base Amount i Total Base Across All Centres ) \text{Apportioned Cost}_i = \text{Total Overhead} \times \left(\frac{\text{Base Amount}_i}{\text{Total Base Across All Centres}}\right) Apportioned Cost i = Total Overhead × ( Total Base Across All Centres Base Amount i )
- 3. Stage 3: Reapportionment of Service Cost Centres
- Why Service Cost Centres Must Be Emptied
In a factory, departments divide into two functional types:
Production Cost Centres (PCCs): Departments directly engaged in manufacturing saleable goods (e.g., Machining, Fabrication, Assembly, Finishing). Products physically pass through these centres.
Service Cost Centres (SCCs): Departments that do not make goods, but provide essential support services to production departments (e.g., Maintenance, Canteen, Stores, Boiler House, Tool Room).
Because saleable products never physically pass through the Canteen or Boiler House, service departments have no direct output units over which to absorb their costs. Therefore, all service cost centre costs must be completely transferred (reapportioned) into the production cost centres so they can ultimately be absorbed into product unit costs.
Methods of Reapportionment
Depending on the operational interaction between service departments, three methods are available:
Direct Method:
Applicability: Used when service departments provide services only to production departments , with zero inter-service departmental support (e.g., Maintenance does not use the Canteen, and Canteen requires no Maintenance).
Procedure: Service centre costs are reapportioned directly to production departments in proportion to their relative usage shares.
Step-Down (Sequential) Method:
Applicability: Used when service departments provide support to other service departments in a one-way (non-reciprocal) hierarchy (e.g., Canteen feeds Maintenance staff, but Maintenance does not service Canteen equipment).
Procedure: The service department providing service to the greatest number of other service departments is closed first. Its costs are apportioned to all other departments (including other service centres). Once a service department is closed, it receives no subsequent charges from departments closed later in the sequence.
Reciprocal Reapportionment Methods:
Applicability: Used when service departments provide mutual, reciprocal support to one another (e.g., Canteen feeds Maintenance staff, while Maintenance repairs Canteen kitchen equipment).
Techniques: Solved using either Simultaneous Equations (Algebraic Method) or the Repeated Distribution Method .
4. Reciprocal Reapportionment: The Simultaneous Equations Method
The simultaneous equations method provides an exact, non-iterative mathematical solution by expressing the total cost of each service department as a linear algebraic equation.
Formulating the Equations
Let M M M = Total overhead of Service Centre 1 (Maintenance) after including its share of Service Centre 2.
Let C C C = Total overhead of Service Centre 2 (Canteen) after including its share of Service Centre 1. M = Initial Overhead of M + ( % of C used by M ) × C M = \text{Initial Overhead of } M + (\text{\% of } C \text{ used by } M) \times C M = Initial Overhead of M + ( % of C used by M ) × C C = Initial Overhead of C + ( % of M used by C ) × M C = \text{Initial Overhead of } C + (\text{\% of } M \text{ used by } C) \times M C = Initial Overhead of C + ( % of M used by C ) × M
Once M M M and C C C are solved simultaneously, their gross totals are apportioned to the production departments based on their initial percentage shares.
Comprehensive Worked Example: The Simultaneous Equations Method
Scenario: Sterling Precision Ltd has two production departments (Machining P 1 P_1 P 1 , Assembly P 2 P_2 P 2 ) and two service departments (Maintenance S 1 S_1 S 1 , Canteen S 2 S_2 S 2 ).
Primary distribution (Stage 1 allocation + Stage 2 apportionment) produced the following initial overheads:
- Machining ( P 1 P_1 P 1 ): $161,000
- Assembly ( P 2 P_2 P 2 ): $82,000
- Maintenance ( S 1 S_1 S 1 ): $53,000
- Canteen ( S 2 S_2 S 2 ): $34,000
- Total Overhead: $330,000
Operational studies show the service proportions provided by each service centre:
Service Department Beneficiary: P 1 P_1 P 1 (Machining) Beneficiary: P 2 P_2 P 2 (Assembly) Beneficiary: S 1 S_1 S 1 (Maintenance) Beneficiary: S 2 S_2 S 2 (Canteen) Total
- Maintenance ( S 1 S_1 S 1 ) 50% 40% — 10% 100%
- Canteen ( S 2 S_2 S 2 ) 40% 40% 20% — 100%
Step 1: Formulate the Simultaneous Equations Let M M M = Total cost of Maintenance.
Let C C C = Total cost of Canteen. M = 53 , 000 + 0.20 C — (Equation 1) M = 53,000 + 0.20 C \quad \text{--- (Equation 1)} M = 53 , 000 + 0.20 C — (Equation 1) C = 34 , 000 + 0.10 M — (Equation 2) C = 34,000 + 0.10 M \quad \text{--- (Equation 2)} C = 34 , 000 + 0.10 M — (Equation 2)
Step 2: Solve for M M M and C C C by Substitution Substitute Equation 2 into Equation 1: M = 53 , 000 + 0.20 ( 34 , 000 + 0.10 M ) M = 53,000 + 0.20 (34,000 + 0.10 M) M = 53 , 000 + 0.20 ( 34 , 000 + 0.10 M ) M = 53 , 000 + 6 , 800 + 0.02 M M = 53,000 + 6,800 + 0.02 M M = 53 , 000 + 6 , 800 + 0.02 M M = 59 , 800 + 0.02 M M = 59,800 + 0.02 M M = 59 , 800 + 0.02 M 0.98 M = 59 , 800 0.98 M = 59,800 0.98 M = 59 , 800 M = 59 , 800 0.98 = 61 , 020.41 M = \frac{59,800}{0.98} = \mathbf{61,020.41} M = 0.98 59 , 800 = 61 , 020.41
Now substitute M M M back into Equation 2 to find C C C : C = 34 , 000 + 0.10 ( 61 , 020.41 ) C = 34,000 + 0.10 (61,020.41) C = 34 , 000 + 0.10 ( 61 , 020.41 ) C = 34 , 000 + 6 , 102.04 = 40 , 102.04 C = 34,000 + 6,102.04 = \mathbf{40,102.04} C = 34 , 000 + 6 , 102.04 = 40 , 102.04
Step 3: Reapportion to Production Departments Now reapportion the gross solved amounts to Machining ( P 1 P_1 P 1 ) and Assembly ( P 2 P_2 P 2 ) using their respective percentage shares:
Machining ( P 1 P_1 P 1 ):
From Maintenance ( S 1 S_1 S 1 ): 50% of M M M = 0.50 × 61 , 020.41 = 30 , 510.20 0.50 \times 61,020.41 = 30,510.20 0.50 × 61 , 020.41 = 30 , 510.20
From Canteen ( S 2 S_2 S 2 ): 40% of C C C = 0.40 × 40 , 102.04 = 16 , 040.82 0.40 \times 40,102.04 = 16,040.82 0.40 × 40 , 102.04 = 16 , 040.82
Total Reapportioned to P 1 P_1 P 1 = 30 , 510.20 + 16 , 040.82 = 46 , 551.02 30,510.20 + 16,040.82 = \mathbf{46,551.02} 30 , 510.20 + 16 , 040.82 = 46 , 551.02
Assembly ( P 2 P_2 P 2 ):
From Maintenance ( S 1 S_1 S 1 ): 40% of M M M = 0.40 × 61 , 020.41 = 24 , 408.16 0.40 \times 61,020.41 = 24,408.16 0.40 × 61 , 020.41 = 24 , 408.16
From Canteen ( S 2 S_2 S 2 ): 40% of C C C = 0.40 × 40 , 102.04 = 16 , 040.82 0.40 \times 40,102.04 = 16,040.82 0.40 × 40 , 102.04 = 16 , 040.82
Total Reapportioned to P 2 P_2 P 2 = 24 , 408.16 + 16 , 040.82 = 40 , 448.98 24,408.16 + 16,040.82 = \mathbf{40,448.98} 24 , 408.16 + 16 , 040.82 = 40 , 448.98
Step 4: Mathematical Verification & Final Production Centre Overheads Check total reapportioned: 46 , 551.02 + 40 , 448.98 = 87 , 000.00 46,551.02 + 40,448.98 = \mathbf{87,000.00} 46 , 551.02 + 40 , 448.98 = 87 , 000.00
Notice that $53,000 + $34,000 = $87,000.00. Exactly 100% of the service centre costs have been transferred into the production cost centres without a penny of rounding loss!
Final Total Overheads in Production Cost Centres:
Machining ( P 1 P_1 P 1 ): 161 , 000 + 46 , 551.02 = 207 , 551.02 161,000 + 46,551.02 = \mathbf{207,551.02} 161 , 000 + 46 , 551.02 = 207 , 551.02
Assembly ( P 2 P_2 P 2 ): 82 , 000 + 40 , 448.98 = 122 , 448.98 82,000 + 40,448.98 = \mathbf{122,448.98} 82 , 000 + 40 , 448.98 = 122 , 448.98
Check Grand Total: 207 , 551.02 + 122 , 448.98 = 330 , 000.00 207,551.02 + 122,448.98 = \mathbf{330,000.00} 207 , 551.02 + 122 , 448.98 = 330 , 000.00
5. Reciprocal Reapportionment: The Repeated Distribution Method
The repeated distribution method (continuous distribution) achieves the same outcome by iteratively reapportioning service department balances back and forth in successive rounds until the remaining balance dwindles to an immaterial sum (e.g., less than $10), which is then distributed directly to production departments.
Repeated Distribution Schedule
Using the same figures from Sterling Precision Ltd:
Allocation / Reapportionment Step Machining ( P 1 P_1 P 1 ) Assembly ( P 2 P_2 P 2 ) Maintenance ( S 1 S_1 S 1 ) Canteen ( S 2 S_2 S 2 ) Total
- Initial Allocated/Apportioned Overheads $161,000 $82,000 $53,000 $34,000 $330,000
- 1. Reapportion S 1 S_1 S 1 (50:40:--:10) +$26,500 +$21,200 -$53,000 +$5,300 $0
- Balance after Step 1 $187,500 $103,200 $0 $39,300 $330,000
- 2. Reapportion S 2 S_2 S 2 (40:40:20:--) +$15,720 +$15,720 +$7,860 -$39,300 $0
- Balance after Step 2 $203,220 $118,920 $7,860 $0 $330,000
- 3. Reapportion S 1 S_1 S 1 (50:40:--:10) +$3,930 +$3,144 -$7,860 +$786 $0
- Balance after Step 3 $207,150 $122,064 $0 $786 $330,000
- 4. Reapportion S 2 S_2 S 2 (40:40:20:--) +$314.40 +$314.40 +$157.20 -$786 $0
- Balance after Step 4 $207,464.40 $122,378.40 $157.20 $0 $330,000
- 5. Reapportion S 1 S_1 S 1 (50:40:--:10) +$78.60 +$62.88 -$157.20 +$15.72 $0
- Balance after Step 5 $207,543.00 $122,441.28 $0 $15.72 $330,000
6. Reapportion S 2 S_2 S 2 (Close directly 50:50 to P 1 , P 2 P_1, P_2 P 1 , P 2 ) +$7.86 +$7.86 $0 -$15.72 $0
Final Total Overhead $207,550.86 $122,449.14 $0 $0 $330,000
Notice: The final totals ( $207,551 for Machining and $122,449 for Assembly) match the simultaneous equations solution down to the nearest dollar. In computer-based ACCA exams, the simultaneous equations method is significantly faster and avoids rounding errors.
6. ACCA Exam Traps & Common Pitfalls
Warning
Exam Trap 1: Apportioning Depreciation on Machine Hours: Students often incorrectly apportion plant depreciation on machine hours. Depreciation is a fixed capital cost related to asset ownership; it must be apportioned based on machine carrying value (cost or NBV) , not machine runtime hours.
Warning
Exam Trap 2: Direct Reapportionment Proportions: When using the direct method to reapportion a service department (e.g., Stores) across production departments, students often divide by 100% rather than recalculating the relative percentages. If Stores serves Machining 60% and Assembly 20% (with 20% to Canteen ignored), the direct reapportionment to Machining is 60 / (60 + 20) = 60 / 80 = 75%, and Assembly is 20 / 80 = 25%.
Warning
Exam Trap 3: Reapportioning to Closed Service Centres in Step-Down: In step-down reapportionment, once a service centre is closed, it never receives a share from subsequent service departments. If Department A is closed first and charged to B, C, and D, when Department B is closed next, its costs are apportioned ONLY across C and D (and never back to A).