Study guide
3.1 Production Overheads: Allocation and Apportionment
CIMA BA2: Fundamentals of Management Accounting Exam
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1 Chapter 1: The Context of Management Accounting
1.1 The Need for Management Accounting, the GMAP Definition & Comparison with Financial Accounting 1.2 Qualities of Good Management Information: From Data to Decisions 1.3 Information for Operational, Managerial and Strategic Levels 1.4 The Role of the Management Accountant: CIMA's View, IFAC's Domain & Position in the Organisation 1.5 CIMA as a Professional Body: Members, Candidates, the Profession & Society
2 Chapter 2: Cost Identification, Classification and Behaviour
2.1 Cost Classification by Nature, Function, and Element 2.2 Cost Behaviour Patterns and Relevant Range 2.3 The High-Low Method and Cost Prediction 2.4 Scattergraph and Least-Squares Regression for Cost Estimation
3 Chapter 3: Overheads and Absorption Costing
3.1 Production Overheads: Allocation and Apportionment 3.2 Overhead Absorption Rates (OAR) & Under/Over-Absorption
4 Chapter 4: Marginal Costing, Profit Reconciliation and Cost-Based Pricing
4.1 Marginal Costing vs Absorption Costing Principles 4.2 Reconciling Marginal and Absorption Costing Operating Profits 4.3 Pricing with Cost Information: Full-Cost-Plus, Marginal-Cost-Plus, Mark-Ups, Margins and Return Targets
5 Chapter 5: Budget Preparation: Functional, Master and Cash Budgets
5.1 Purposes of Budgeting & The Budgeting Process 5.2 The Principal Budget Factor & Functional Budgets 5.3 The Master Budget: Budgeted Profit or Loss, Financial Position and Cash Flow 5.4 Cash Budgets & Cash Flow Forecasting
6 Chapter 6: Budgetary Control: Flexible Budgets, Behaviour and Budgeting Approaches
6.1 Fixed vs Flexible Budgeting and Budget Flexing 6.2 Budgetary Control Systems, Participation & Behavioural Aspects 6.3 Alternative Budgeting Approaches: Incremental, ZBB & Rolling Budgets
7 Chapter 7: Standard Costing and Cost Variances
7.1 Standard Costing Principles and Types of Standards 7.2 Direct Material Price and Usage Variances 7.3 Direct Labour Rate, Efficiency, and Idle Time Variances 7.4 Variable and Fixed Overhead Variances
8 Chapter 8: Sales Variances, Operating Statements and Interpreting Variances
8.1 Sales Variances and Operating Statements (Marginal and Absorption Formats) 8.2 Interpreting Variances: Causes, Interrelationships and Deciding What to Investigate
9 Chapter 9: Performance Measurement
9.1 The Need for Performance Measures: Responsibility Accounting, Controllability and Service Industries 9.2 Financial and Non-Financial Performance Measures in Manufacturing and Service Organisations
10 Chapter 10: Integrated Accounts, Job and Batch Costing and Management Reports
10.1 Integrating Cost and Financial Accounts: Control Accounts and the Manufacturing Account 10.2 Integrated Ledgers with Under- and Over-Absorption and Standard Cost Variances 10.3 Job and Batch Costing: Job Cost Cards, Job Accounts and Pricing a Job 10.4 Cost Reports for Manufacturing, Service and Not-for-Profit Organisations
11 Chapter 11: Risk, Probability and Statistics for Decision-Making
11.1 Risk, Uncertainty and Probability: Rules and Joint Probabilities for Decisions 11.2 Expected Values, Expected Value Tables and Their Limitations 11.3 Averages and Dispersion: Mean, Median, Mode, Range, Variance, Standard Deviation and Coefficient of Variation 11.4 The Normal Distribution: Z-Scores, Normal Distribution Tables and Business Probabilities
12 Chapter 12: Relevant Costing and Short-Term Decisions
12.1 Relevant Cost Concepts: Future, Incremental, and Opportunity Costs 12.2 Relevant Costs of Materials, Labour, and Overheads 12.3 Short-Term Operational Decisions: Make-or-Buy, Shutdowns, Special Orders
13 Chapter 13: Breakeven Analysis and Limiting Factor Analysis
13.1 Single-Product Break-Even Analysis & Margin of Safety 13.2 Target Profit Calculations, Operating Gearing & CVP Assumptions 13.3 Multi-Product CVP Analysis & Break-Even Charts 13.4 Limiting Factor Analysis (Key Factor Analysis)
14 Chapter 14: Long-Term Decisions: Time Value of Money, Payback, NPV and IRR
14.1 Time Value of Money: Compounding, Discounting, Annuities & Perpetuities 14.2 Payback Period Method: Constant and Uneven Cash Flows 14.3 Net Present Value (NPV): Methodology and Decision Rules 14.4 Internal Rate of Return (IRR) and Interpolation
3.1 Production Overheads: Allocation and Apportionment
Key Takeaways Explain This Topic AI
Overhead allocation directly assigns whole cost items that can be traced unambiguously to a specific production or service cost centre without division.
Overhead apportionment distributes shared general indirect expenditures across all benefiting cost centres using an equitable, logical basis reflecting resource consumption.
Service department overheads must be reapportioned to production departments because service departments support operations but do not directly manufacture cost units.
When service departments provide mutual reciprocal support to each other, the repeated distribution method and the simultaneous algebraic equations method resolve interdependencies and yield identical cost allocations.
Last updated: September 2026
In modern manufacturing and service enterprises, indirect costs—collectively termed overheads —constitute an increasingly substantial proportion of total operating expenditure. Unlike direct materials and direct labour, which can be traced economically and unambiguously to individual cost units (such as a specific batch of machined gears or a single consulting report), overheads are incurred for the benefit of multiple cost centres or the enterprise as a whole.
To establish accurate unit product costs for inventory valuation, cost control, and strategic pricing, management accounting utilizes a disciplined three-stage process:
Allocation and Apportionment: Collecting factory overheads and assigning them to all functional departments (both production and service cost centres).
Reapportionment: Transferring the accumulated overheads of service cost centres into production cost centres.
Absorption: Charging the total accumulated production overheads from production cost centres into individual cost units using predetermined overhead absorption rates.
This section focuses on Stages 1 and 2: allocation, primary apportionment, and secondary service reapportionment.
1. Overhead Allocation vs. Apportionment
The first stage of overhead accounting requires charging all indirect manufacturing costs incurred during a period to designated cost centres . This is accomplished through two distinct procedures: allocation and apportionment .
Overhead Allocation
Allocation is the process of assigning a whole, identifiable item of indirect cost directly to a single cost centre without division or estimation. Allocation applies whenever an expense is incurred solely and exclusively for the benefit of a specific department.
Examples of Allocation:
Salary of the supervisor of the Assembly Department → \rightarrow → allocated 100% to Assembly.
Lubricants and coolants purchased exclusively for the CNC Machining Department → \rightarrow → allocated 100% to Machining.
Replacement parts used solely on boiler room equipment → \rightarrow → allocated 100% to the Boiler / Power Service Cost Centre.
Overhead Apportionment
Apportionment is the process of dividing and spreading a shared overhead item across two or more cost centres using a fair, logical, and equitable basis that reflects the benefit received by each cost centre. Apportionment is necessary when an overhead cost is common to multiple departments and cannot be physically or economically separated.
Common Apportionment Bases
The selection of an apportionment base must reflect the underlying cause-and-effect relationship between the cost incurrence and departmental consumption:
Overhead Cost Item Most Appropriate Apportionment Base Rationale / Underlying Driver
Rent, business rates, building insurance, factory security Floor area occupied (square metres or square feet) Premises expenditures relate directly to the physical space occupied by each department.
Heating, lighting, air conditioning, ventilation Cubic volume (or floor area if ceiling height is uniform) Space heating and cooling costs vary with the total volume of air conditioned.
Depreciation of plant and machinery, machine insurance Carrying value / cost of machinery in each department Asset capital value dictates depreciation write-offs and replacement insurance premiums.
Canteen subsidies, personnel / HR costs, first aid, staff welfare Number of employees / staff headcount Employee support costs correlate directly with the number of personnel served.
Power and electricity for production machinery Machine capacity (kW) × \times × running hours (or metered kWh) Electrical energy consumed is a function of equipment wattage and operating duration.
Storekeeping, material handling, internal logistics Number of material requisitions or weight/value of materials issued Warehouse labor and handling frequency drive internal logistics effort.
Note
When choosing an apportionment base on the CIMA BA2 exam, always prioritize the most equitable causal metric . If machine wattage and running hours are available, apportioning electric power on floor area is incorrect because an automated machining shop with high-voltage tools consumes vastly more power per square metre than an open assembly hall.
2. Distinction Between Production and Service Cost Centres
To manage costs systematically, cost centres are categorized into two functional classes:
Production Cost Centres: Departments directly involved in the physical manufacture, transformation, or assembly of the company's products (for example, Machining, Milling, Moulding, and Assembly). Cost units pass physically through these departments and absorb overheads directly.
Service Cost Centres: Departments that provide vital operational, technical, or logistical support to production departments and other service areas, but do not work directly on saleable products (for example, Maintenance, Quality Testing, Tool Room, Stores/Materials Handling, and Factory Canteen).
Because saleable products never pass directly through service cost centres, service department costs cannot be absorbed directly into individual products. Consequently, all service department overheads must be reapportioned (redistributed) into production cost centres before final product overhead absorption can occur.
3. Methods of Service Department Reapportionment
Management accountants utilize three primary methods to redistribute service department overheads to production departments:
1. Direct Reapportionment Method
The direct method redistributes service department costs exclusively to production cost centres , completely ignoring any inter-service work. Even if Maintenance repairs equipment in the Canteen, or the Canteen feeds Maintenance technicians, the direct method allocates zero service cost to other service departments.
Advantage: Highly simplistic and fast to compute.
Limitation: Distorts departmental overhead totals whenever service departments consume significant reciprocal services.
2. Step-Down (Sequential) Method
The step-down method redistributes service department costs sequentially in a one-way hierarchy . The service department that provides services to the greatest number of other service departments (or incurs the highest cost) is apportioned first across all remaining service and production departments.
Once a service department has been closed and cleared, it never receives subsequent reallocations from remaining service departments.
Advantage: Partially recognizes inter-service support without algebraic complexity.
Limitation: Arbitrary ordering can alter final production cost allocations; ignores circular/mutual interdependencies.
3. Reciprocal Methods
In modern manufacturing facilities, service departments frequently render mutual support to one another (e.g., Canteen feeds Maintenance personnel; Maintenance services Canteen kitchen machinery). To account fully for this circular interdependency, management accounting utilizes reciprocal methods :
Repeated Distribution Method: An iterative arithmetic procedure where service costs are repeatedly reallocated between service and production departments in cycles until the remaining unallocated service balance becomes negligible (e.g., under $1), at which point it is rounded into the production departments.
Simultaneous Equations Method: An exact algebraic technique that models reciprocal service relationships as a system of linear equations, solving for the total effective cost of each service department prior to final distribution to production.
4. Comprehensive Worked Example: Reciprocal Reapportionment
Apex Precision Engineering operates two production departments ( Machining and Assembly ) and two service departments ( Maintenance and Canteen ).
Following primary allocation and apportionment, the initial overhead costs are:
- Machining ( P 1 P_1 P 1 ): $150,000
- Assembly ( P 2 P_2 P 2 ): $100,000
- Maintenance ( S 1 S_1 S 1 ): $46,000
- Canteen ( S 2 S_2 S 2 ): $30,000
- Total Initial Overheads: $326,000
The service departments provide mutual and production support in the following proportions:
Service Department Benefiting: Machining ( P 1 P_1 P 1 ) Benefiting: Assembly ( P 2 P_2 P 2 ) Benefiting: Maintenance ( S 1 S_1 S 1 ) Benefiting: Canteen ( S 2 S_2 S 2 ) Total
- Maintenance ( S 1 S_1 S 1 ) 50% 30% — 20% 100%
- Canteen ( S 2 S_2 S 2 ) 55% 35% 10% — 100%
- Approach A: Simultaneous Algebraic Equations Method
Let M M M represent the total effective overhead of the Maintenance department.
Let C C C represent the total effective overhead of the Canteen department.
Formulate the simultaneous linear equations based on initial costs plus reciprocal transfers: M = $ 46 , 000 + 0.10 C M = \text{\textdollar}46,000 + 0.10 C M = $ 46 , 000 + 0.10 C C = $ 30 , 000 + 0.20 M C = \text{\textdollar}30,000 + 0.20 M C = $ 30 , 000 + 0.20 M
Step 1: Substitute equation (2) into equation (1): M = $ 46 , 000 + 0.10 ( $ 30 , 000 + 0.20 M ) M = \text{\textdollar}46,000 + 0.10 (\text{\textdollar}30,000 + 0.20 M) M = $ 46 , 000 + 0.10 ( $ 30 , 000 + 0.20 M ) M = $ 46 , 000 + $ 3 , 000 + 0.02 M M = \text{\textdollar}46,000 + \text{\textdollar}3,000 + 0.02 M M = $ 46 , 000 + $ 3 , 000 + 0.02 M M = $ 49 , 000 + 0.02 M M = \text{\textdollar}49,000 + 0.02 M M = $ 49 , 000 + 0.02 M
Step 2: Solve for M M M : M − 0.02 M = $ 49 , 000 M - 0.02 M = \text{\textdollar}49,000 M − 0.02 M = $ 49 , 000 0.98 M = $ 49 , 000 0.98 M = \text{\textdollar}49,000 0.98 M = $ 49 , 000 M = $ 49 , 000 0.98 = $ 50 , 000 M = \frac{\text{\textdollar}49,000}{0.98} = \mathbf{\text{\textdollar}50,000} M = 0.98 $ 49 , 000 = $ 50 , 000
Step 3: Solve for C C C by substituting M = $ 50 , 000 M = \text{\textdollar}50,000 M = $ 50 , 000 into equation (2): C = $ 30 , 000 + 0.20 ( $ 50 , 000 ) C = \text{\textdollar}30,000 + 0.20 (\text{\textdollar}50,000) C = $ 30 , 000 + 0.20 ( $ 50 , 000 ) C = $ 30 , 000 + $ 10 , 000 = $ 40 , 000 C = \text{\textdollar}30,000 + \text{\textdollar}10,000 = \mathbf{\text{\textdollar}40,000} C = $ 30 , 000 + $ 10 , 000 = $ 40 , 000
Step 4: Reapportion total service overheads to production departments: Notice that the total effective service costs ( M = $ 50 , 000 M = \text{\textdollar}50,000 M = $ 50 , 000 and C = $ 40 , 000 C = \text{\textdollar}40,000 C = $ 40 , 000 ) contain reciprocal transfers. We apportion only the shares going to production:
From Maintenance to Machining ( 50 % × $ 50 , 000 50\% \times \text{\textdollar}50,000 50% × $ 50 , 000 ): $25,000
From Maintenance to Assembly ( 30 % × $ 50 , 000 30\% \times \text{\textdollar}50,000 30% × $ 50 , 000 ): $15,000
- From Canteen to Machining ( 55 % × $ 40 , 000 55\% \times \text{\textdollar}40,000 55% × $ 40 , 000 ): $22,000
- From Canteen to Assembly ( 35 % × $ 40 , 000 35\% \times \text{\textdollar}40,000 35% × $ 40 , 000 ): $14,000
Step 5: Final Production Department Overheads:
Machining: $ 150 , 000 (Initial) + $ 25 , 000 (Maint) + $ 22 , 000 (Canteen) = $ 197 , 000 \text{\textdollar}150,000 \text{ (Initial)} + \text{\textdollar}25,000 \text{ (Maint)} + \text{\textdollar}22,000 \text{ (Canteen)} = \mathbf{\text{\textdollar}197,000} $ 150 , 000 (Initial) + $ 25 , 000 (Maint) + $ 22 , 000 (Canteen) = $ 197 , 000
Assembly: $ 100 , 000 (Initial) + $ 15 , 000 (Maint) + $ 14 , 000 (Canteen) = $ 129 , 000 \text{\textdollar}100,000 \text{ (Initial)} + \text{\textdollar}15,000 \text{ (Maint)} + \text{\textdollar}14,000 \text{ (Canteen)} = \mathbf{\text{\textdollar}129,000} $ 100 , 000 (Initial) + $ 15 , 000 (Maint) + $ 14 , 000 (Canteen) = $ 129 , 000
Total Production Overhead Check: $ 197 , 000 + $ 129 , 000 = $ 326 , 000 \text{\textdollar}197,000 + \text{\textdollar}129,000 = \mathbf{\text{\textdollar}326,000} $ 197 , 000 + $ 129 , 000 = $ 326 , 000 (exactly equals the original enterprise total).
Approach B: Repeated Distribution Method
In this method, we cycle through the distributions until the remaining service figures diminish to zero:
Distribution 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 Overheads $150,000 $100,000 $46,000 $30,000 $326,000
- Cycle 1: Reapportion S 1 S_1 S 1 ($46,000) +$23,000 (50%) +$13,800 (30%) -$46,000 +$9,200 (20%) $0
- Subtotal after Cycle 1 $173,000 $113,800 $0 $39,200 $326,000
- Cycle 1: Reapportion S 2 S_2 S 2 ($39,200) +$21,560 (55%) +$13,720 (35%) +$3,920 (10%) -$39,200 $0
- Subtotal after Cycle 1 (both) $194,560 $127,520 $3,920 $0 $326,000
- Cycle 2: Reapportion S 1 S_1 S 1 ($3,920) +$1,960 (50%) +$1,176 (30%) -$3,920 +$784 (20%) $0
- Subtotal after Cycle 2 $196,520 $128,696 $0 $784 $326,000
- Cycle 2: Reapportion S 2 S_2 S 2 ($784) +$431.20 (55%) +$274.40 (35%) +$78.40 (10%) -$784 $0
- Subtotal after Cycle 2 (both) $196,951.20 $128,970.40 $78.40 $0 $326,000
- Cycle 3: Reapportion S 1 S_1 S 1 ($78.40) +$39.20 (50%) +$23.52 (30%) -$78.40 +$15.68 (20%) $0
- Cycle 3: Final Close of S 2 S_2 S 2 ($15.68) +$9.60 (55/90) +$6.08 (35/90) $0 -$15.68 $0
- Final Reapportioned Overheads $197,000 $129,000 $0 $0 $326,000
Important
Observe that both the simultaneous equations method and the repeated distribution method arrive at the identical production totals: $197,000 for Machining and $129,000 for Assembly . On CIMA objective tests, formulating the simultaneous equations is almost always substantially faster and eliminates arithmetic rounding errors.