CMAA201: Cost and Management Accounting 2 Study Guide (DUT / UNISA-Aligned Exam Notes)

This study guide provides comprehensive, exam-focused notes for CMAA201: Cost and Management Accounting 2, aligned with the Durban University of Technology (DUT) National Diploma in Management Accounting and referencing common outcomes from UNISA courses such as CMA2602 and related second-year cost accounting modules used across South African universities. It is designed to support students preparing for tests, assignments, and final exams in Cost and Management Accounting 2, with a strong emphasis on South African exam styles, formats and typical question types.

The guide covers cost-volume-profit (CVP) analysis, budgeting and standard costing, relevant costing and short-term decisions, performance measurement and divisional analysis, and an overview of capital budgeting and strategic management accounting. Worked examples, tips, formats and common pitfalls are integrated throughout to help you perform at exam level.

1. Overview of Cost and Management Accounting 2 in the South African Context

1.1 Position of CMAA201 in the DUT Management Accounting Curriculum

In the Durban University of Technology (DUT): National Diploma in Management Accounting, CMAA201: Cost and Management Accounting 2 (names sometimes vary slightly per year, e.g. Cost and Management Accounting II or Management Accounting II) typically builds on first-year courses such as:

CMAA101: Cost and Management Accounting 1
Introductory financial accounting modules (e.g. Financial Accounting I)

By second year, students are expected to:

Understand basic cost concepts and cost classifications;
Prepare simple cost statements (prime cost, factory cost, cost of production);
Work with basic job and process costing;
Perform simple break-even analysis and basic budgeting.

CMAA201 extends this into more advanced decision-making tools and performance evaluation, including:

More complex cost-volume-profit (CVP) analysis;
Flexible budgeting, standard costing and variance analysis;
Relevant costing and short-term decision-making (special orders, make-or-buy, limiting factors);
Performance measurement, divisional performance, ROI, residual income;
Basic capital budgeting (NPV, IRR, payback) and strategic management accounting concepts.

Students at DUT, UNISA (e.g. CMA2602 – Management Accounting) and other South African universities like CUT, CPUT and UJ are typically assessed through:

Written examinations (problem-solving + theory);
Assignments or MOODLE / myUNISA / myDUT online tests;
Case-based questions referencing South African-style scenarios (manufacturing firms, service entities, public sector examples).

The exam focus is less on memorisation and more on application of techniques to numerical data and business decisions.

1.2 Core Learning Outcomes for CMAA201 / CMA2602-Level Modules

Across DUT and UNISA-type syllabi, the core learning outcomes typically include the ability to:

Classify costs and apply CVP analysis
- Distinguish between variable, fixed and mixed costs.
- Prepare contribution margin income statements.
- Compute break-even point, target profit volume, margin of safety.
- Analyse the effect of changes in selling price, cost or volume.
Prepare and analyse budgets
- Develop functional budgets (sales, production, materials, labour, overheads, cash).
- Prepare master budgets and budgeted financial statements.
- Understand fixed vs flexible budgets and interpret variances.
Apply standard costing and variance analysis
- Compute material price and usage variances.
- Compute labour rate and efficiency variances.
- Analyse variable and fixed overhead variances.
- Interpret variances for performance evaluation and control.
Use relevant costing in short-term decisions
- Identify relevant vs irrelevant costs and revenues.
- Analyse special orders, make-or-buy and product mix decisions under limiting factors.
- Consider qualitative and strategic issues.
Evaluate performance of divisions and managers
- Distinguish between profit centres, cost centres, investment centres.
- Calculate and interpret Return on Investment (ROI) and Residual Income (RI).
- Understand transfer pricing basics and goal congruence.
Apply basic capital budgeting and strategic management accounting concepts
- Evaluate long-term investments using NPV, IRR, payback.
- Understand the role of management accounting information in strategy and competitive advantage.

Each of these outcomes is examinable in both computational and theory / discussion style questions, often integrated in a single case study.

1.3 Typical Exam Structure and Recommended Study Approach

While exact formats differ between institutions and years, a common pattern in DUT CMAA201 and comparable UNISA CMA2602 exams is:

Duration: 2–3 hours
Total marks: 100 marks
Structure:
- Section A: Short questions / multiple choice / definitions (20–30 marks)
- Section B: Medium-length questions focusing on specific topics (30–40 marks)
- Section C: Long integrated question (30–50 marks) combining various topics

Common question types include:

Prepare a CVP analysis and discuss implications.
Compile a flexible budget and compute variances.
Perform standard costing variance analysis and interpret results.
Make a short-term decision using relevant costing.
Evaluate a division’s performance using ROI and Residual Income.
Compare two capital projects using NPV and IRR.

Recommended study approach:

Master the formats
Practice the standard layouts: contribution income statement, production budget, materials usage & purchase budgets, flexible budgets, variance tables, ROI/RI calculations.
Drill the core formulas
Memorise and be able to derive quickly:
- Contribution per unit, P/V ratio, BEP, MOS
- Standard costing variance formulas
- ROI, RI, NPV, IRR-related relationships (even if IRR is approximated).
Practise full-length past papers
Use DUT, UNISA and other SA university past papers (e.g. CMA2602, MNB2601-type integrated questions) to simulate exam conditions. Mark yourself strictly.
Write interpretations, not just numbers
Most questions allocate marks for discussion. Learn standard “interpretation language” (e.g. “An adverse variance suggests that actual costs exceeded planned costs, which may indicate inefficiency or higher input prices”).

2. Cost-Volume-Profit (CVP) Analysis and Cost Behaviour

2.1 Cost Classification: Variable, Fixed and Mixed Costs

CVP analysis depends critically on understanding cost behaviour. The standard classifications:

Variable costs:
Total cost changes in direct proportion to activity (units produced or sold). Cost per unit is constant within the relevant range.
Examples: direct materials per unit, direct labour (if paid per unit), sales commission per unit.
Fixed costs:
Total cost remains constant within the relevant range regardless of activity level. Per-unit fixed cost decreases as volume increases.
Examples: factory rent, salaried factory supervisor, insurance.
Semi-variable (mixed) costs:
Contain both fixed and variable elements.
Examples: telephone charges (fixed line rental + variable usage), electricity with a fixed access fee plus a variable per kWh rate.

In exam questions from DUT / UNISA-style papers, you may be required to:

Classify given costs as variable, fixed or mixed;
Separate mixed costs into fixed and variable components using methods such as high-low method.

High-low method (quick exam approach):

Given total cost at a high and low activity level:

Variable cost per unit =
[
\frac{\text{Cost at high activity} – \text{Cost at low activity}}{\text{High units} – \text{Low units}}
]
Fixed costs =
Total cost at either level − (variable cost per unit × units at that level).

Example (high-low):

Total maintenance cost:

At 10 000 units: R 48 000
At 6 000 units: R 32 000

Variable cost per unit = (48 000 − 32 000) / (10 000 − 6 000) = 16 000 / 4 000 = R 4 per unit
Fixed cost = 48 000 − (4 × 10 000) = 48 000 − 40 000 = R 8 000

Thus, maintenance cost = R 8 000 + R 4 × units.

2.2 Contribution Concept and Income Statement Format

Contribution is central in CVP analysis:

Contribution per unit = Selling price per unit − Variable cost per unit
Total contribution = Total sales − Total variable costs
Profit = Total contribution − Fixed costs

The recommended income statement (for CVP questions) is the contribution format:

	R
Sales (units × SP)	xxx
Less: Variable costs	(xxx)
Contribution	xxx
Less: Fixed costs	(xxx)
Profit / (Loss)	xxx

Example:

Selling price per unit: R 50
Variable cost per unit: R 30
Fixed costs per month: R 200 000
Units sold: 15 000

Contribution per unit = 50 − 30 = R 20
Total contribution = 15 000 × 20 = R 300 000
Profit = 300 000 − 200 000 = R 100 000

2.3 Break-Even Analysis and Target Profit

2.3.1 Break-even point (BEP)

At break-even, total contribution = fixed costs, i.e. profit = 0.

BEP in units:
[
\text{BEP units} = \frac{\text{Total fixed costs}}{\text{Contribution per unit}}
]
BEP in sales value:
First compute P/V ratio (contribution margin ratio)
[
\text{P/V ratio} = \frac{\text{Contribution}}{\text{Sales}} = \frac{\text{Contribution per unit}}{\text{Selling price per unit}}
]
Then:
[
\text{BEP sales} = \frac{\text{Fixed costs}}{\text{P/V ratio}}
]

Continuing the example above:

Contribution per unit = R 20
Fixed costs = R 200 000

BEP units = 200 000 / 20 = 10 000 units

P/V ratio = 20 / 50 = 0.4 or 40%
BEP sales = 200 000 / 0.4 = R 500 000

2.3.2 Target profit volume

To find the sales volume needed for a specific target profit:

Units for target profit:
[
\text{Required units} = \frac{\text{Fixed costs} + \text{Target profit}}{\text{Contribution per unit}}
]
Sales value for target profit:
[
\text{Required sales} = \frac{\text{Fixed costs} + \text{Target profit}}{\text{P/V ratio}}
]

Example:

Target profit: R 140 000
Contribution per unit: R 20
Fixed costs: R 200 000

Required units = (200 000 + 140 000) / 20 = 340 000 / 20 = 17 000 units
Required sales value = 17 000 × 50 = R 850 000

2.3.3 Margin of safety

The margin of safety (MOS) measures how far actual or budgeted sales are above break-even sales.

MOS in units = Actual sales units − BEP units
MOS in Rand = Actual sales value − BEP sales value
MOS % = MOS / Actual sales

With actual sales of 15 000 units (from earlier):

MOS units = 15 000 − 10 000 = 5 000 units
MOS % = 5 000 / 15 000 = 0.3333 = 33.33%

Interpretation: Sales can fall by up to 33.33% before the business breaks even.

2.4 Multi-Product CVP and Sales Mix

In practice, firms sell multiple products with different contributions per unit. In such cases, the exam may require:

Calculation of a weighted average contribution per unit based on sales mix;
BEP in composite units, assuming fixed sales mix.

Example:

Company sells Product A and Product B.

Product A: SP = R 100, VC = R 60, Contribution = R 40
Product B: SP = R 80, VC = R 50, Contribution = R 30
Sales mix ratio (units): A:B = 2:3
Fixed costs: R 280 000

Weighted contribution per composite unit (2A + 3B):

Contribution of 2A: 2 × 40 = 80
Contribution of 3B: 3 × 30 = 90
Total per composite = 80 + 90 = R 170

BEP in composite units:

BEP composite units = 280 000 / 170 = 1 647.06 ≈ 1 648 composite units

BEP in units of each product:

Units of A = 1 648 × 2 = 3 296 units
Units of B = 1 648 × 3 = 4 944 units

These calculations assume the sales mix remains constant at 2:3.

2.5 CVP Assumptions and Limitations

Examiners at DUT, UNISA and other universities often ask for theoretical discussion of CVP assumptions and limitations. Key points:

Assumptions:

Selling price per unit is constant (no bulk discounts or price changes).
Variable cost per unit is constant; fixed costs remain unchanged within the relevant range.
Production volume = Sales volume (no change in stock levels) unless the question explicitly incorporates inventory.
The sales mix is constant in multi-product situations.
Costs are perfectly divisible into variable and fixed components; semi-variable costs are split accurately.

Limitations:

In reality, costs may be non-linear; economies of scale and step-fixed costs can distort linear relationships.
Selling prices often change with volume (discounts, market competition).
Difficulties in accurately classifying or splitting mixed costs (high-low is only an approximation).
CVP is typically short-term; it ignores capacity-expansion decisions and long-term fixed cost changes.
In multi-product environments, maintaining a constant sales mix may not be realistic.

In examinations, linking these limitations to real South African contexts (e.g. manufacturing firms in Durban, retailers in Johannesburg under competitive pressure) can demonstrate deeper understanding.

3. Budgeting, Flexible Budgets and Standard Costing

3.1 Purposes and Types of Budgets

Budgeting is a major theme in CMAA201 / CMA2602. A budget is a quantitative plan for future activities, usually covering a financial year, broken into months or quarters.

Purposes of budgeting:

Planning: Set objectives and allocate resources.
Coordination: Align activities across departments (sales, production, purchasing).
Control: Compare actual performance with budget; analyse variances.
Communication: Communicate expectations to managers and staff.
Motivation: Provide performance targets (though may also demotivate if unrealistic).
Performance evaluation: Basis for management appraisal and bonuses.

Types of budgets important for exams:

Operating budgets:
- Sales budget
- Production budget
- Direct materials usage and purchases budgets
- Direct labour budget
- Overhead budgets (variable and fixed)
- Selling and administrative budget
Financial budgets:
- Cash budget
- Budgeted income statement
- Budgeted balance sheet
Static (fixed) vs flexible budgets:
- Static budget: Prepared for a single level of activity.
- Flexible budget: Adjusts budgeted costs to the actual level of activity, enabling meaningful variance analysis.

3.2 Functional Budgets: Key Exam Formats

3.2.1 Sales budget

The starting point for most master budgets.

Format (by product and period):

Product	Quarter 1 units	Quarter 1 SP (R)	Quarter 1 Sales (R)	…

Compute units × SP for each period and product.

3.2.2 Production budget

Determines number of units that must be produced to meet sales and inventory policies.

Formula:

[
\text{Production units} = \text{Budgeted sales units} + \text{Desired closing finished goods} – \text{Opening finished goods}
]

Example:

Sales forecast: 10 000 units
Desired closing inventory: 1 200 units
Opening inventory: 800 units

Production units = 10 000 + 1 200 − 800 = 10 400 units

3.2.3 Direct materials usage and purchase budgets

Usage budget:

[
\text{Materials required for production} = \text{Units to produce} \times \text{Material per unit}
]

Purchases budget (in units):

[
\text{Materials to purchase} = \text{Materials required for production} + \text{Desired closing materials inventory} – \text{Opening materials inventory}
]

Then convert to Rand by multiplying by material cost per unit.

Example:

Units to produce: 10 400
Material per unit: 3 kg
Opening inventory: 4 000 kg
Desired closing inventory: 5 000 kg
Material cost: R 8 per kg

Usage = 10 400 × 3 = 31 200 kg
Purchases (kg) = 31 200 + 5 000 − 4 000 = 32 200 kg
Purchases (R) = 32 200 × 8 = R 257 600

3.2.4 Direct labour budget

Compute total hours required and associated cost:

[
\text{Total labour hours} = \text{Units to produce} \times \text{Hours per unit}
]
[
\text{Total labour cost} = \text{Total labour hours} \times \text{Hourly wage rate}
]

Example:

Units to produce: 10 400
Labour hours per unit: 2 hours
Wage rate: R 45/hour

Total hours = 10 400 × 2 = 20 800 hours
Total labour cost = 20 800 × 45 = R 936 000

3.2.5 Overhead and cost of production budgets

Overheads often separated into variable and fixed.

Example overhead budget (per month):

Overhead item	Fixed (R)	Variable rate (R per unit)
Indirect materials	10 000	2
Indirect labour	20 000	1
Factory rent	30 000	–
Factory electricity	5 000	0.50

At a production level of 10 400 units, total overhead:

Variable portion: (2 + 1 + 0.50) × 10 400 = 3.5 × 10 400 = R 36 400
Fixed portion: 10 000 + 20 000 + 30 000 + 5 000 = R 65 000
Total overhead: 36 400 + 65 000 = R 101 400

Cost of production budget then aggregates:

Direct materials (from materials budget)
Direct labour (from labour budget)
Overheads (from overhead budget)

to compute total cost of goods manufactured.

3.3 Cash Budget

The cash budget forecasts cash inflows and outflows, highlighting surplus or deficit periods.

Standard columns:

Month	Opening balance	Cash receipts	Cash payments	Net cash flow	Closing balance

Important aspects:

Credit sales collections pattern (e.g. 60% collected in month after sale, 40% in second month).
Payment patterns for creditors (e.g. 30 days, 60 days).
Capital expenditure, loan receipts and repayments, interest.

Exam hints:

Lay out time-line clearly.
Start with opening balance, then add receipts, subtract payments.
Watch for timing differences (e.g. wage payments at month-end vs mid-month).

3.4 Static vs Flexible Budgets and Variance Analysis

3.4.1 Static budgets

Based on a single predicted activity level (e.g. 10 000 units). When actual output differs significantly from budgeted output, static budget variances can be misleading, because some of the difference is due simply to volume differences.

3.4.2 Flexible budgets

A flexible budget is adjusted to actual activity level, separating price/rate effects from volume effects.

Example:

Budgeted at 10 000 units:

Variable overhead: R 50 000 (R 5 per unit)
Fixed overhead: R 80 000

Actual output: 12 000 units
Actual overhead: R 150 000

Flexible budget for 12 000 units:

Variable overhead: 12 000 × 5 = R 60 000
Fixed overhead: R 80 000
Total: R 140 000

Variance:

Total overhead variance = Actual (150 000) − Flexible budget (140 000) = R 10 000 adverse

This variance relates to cost control, not simply change in volume.

3.5 Standard Costing: Basics and Purposes

Standard costing sets standard costs and quantities for each unit of output, serving as a benchmark for evaluating actual performance.

Purposes:

Cost control and variance analysis;
Performance measurement of departments/personnel;
Simplified costing for routine production;
Motivational tool (if standards are realistic and participatively set).

Types of standards:

Ideal standards: assume perfect efficiency, no wastage. Often unrealistic.
Currently attainable standards: assume efficient but realistic conditions (some wastage, normal machine downtime). Recommended for performance evaluation.

3.6 Material and Labour Variances

Examiners frequently require detailed variance calculations. Memorising formats is crucial.

3.6.1 Materials variances

Let:

SP = Standard price per unit of material
AP = Actual price per unit
SQ = Standard quantity allowed for actual output
AQ = Actual quantity used

Material price variance (MPV):

[
\text{MPV} = AQ \times (SP – AP)
]

Favourable (F) if AP < SP
Adverse (A) if AP > SP

Material usage variance (MUV):

[
\text{MUV} = SP \times (SQ – AQ)
]

Favourable if AQ < SQ (less material used than standard)
Adverse if AQ > SQ

Total material cost variance:

[
\text{Total} = (SP \times SQ) – (AP \times AQ)
]
or simply MPV + MUV.

Example:

Standard: 5 kg @ R 4 per kg per unit
For actual output of 1 000 units, SQ = 5 000 kg.
Actual: 5 200 kg purchased and used at R 3.80 per kg.

SP = 4, AP = 3.80, SQ = 5 000 kg, AQ = 5 200 kg.

MPV = 5 200 × (4 − 3.80) = 5 200 × 0.20 = 1 040 F
MUV = 4 × (5 000 − 5 200) = 4 × (−200) = 800 A
Total variance = 1 040 F − 800 A = 240 F

Interpretation: Material cost overall is R 240 less than standard.

3.6.2 Labour variances

Let:

SR = Standard wage rate per hour
AR = Actual wage rate per hour
SH = Standard hours allowed for actual output
AH = Actual hours worked

Labour rate variance (LRV):

[
\text{LRV} = AH \times (SR – AR)
]

Labour efficiency variance (LEV):

[
\text{LEV} = SR \times (SH – AH)
]

Total labour cost variance:

[
\text{Total} = (SR \times SH) – (AR \times AH)
]
or LRV + LEV.

Example:

Standard: 3 hours @ R 30/hour per unit.
Actual output: 900 units ⇒ SH = 2 700 hours.
Actual: 2 800 hours worked @ R 32/hour.

SR = 30, AR = 32, SH = 2 700, AH = 2 800.

LRV = 2 800 × (30 − 32) = 2 800 × (−2) = 5 600 A
LEV = 30 × (2 700 − 2 800) = 30 × (−100) = 3 000 A
Total variance = 5 600 A + 3 000 A = 8 600 A

Interpretation: Labour costs exceeded standard by R 8 600, due to higher wage rates and inefficiency.

3.7 Overhead Variances (Overview)

At CMAA201 / CMA2602 level, overhead variance questions may be simplified or more detailed depending on the lecturer. Basic structure:

Variable overhead variances:
- Expenditure (spending) variance
- Efficiency variance
Fixed overhead variances:
- Expenditure (budget) variance
- Volume variance
  - Capacity variance
  - Efficiency variance

Many courses focus on understanding that volume variances arise because fixed overhead is spread over a different number of units/hours than planned; thus, under- or over-absorption occurs.

3.8 Interpreting Variances in Exam Answers

In DUT and UNISA-style papers, marks are often split between:

Calculation of variances (mechanical); and
Interpretation and possible causes.

Standard interpretation approach:

State whether the variance is favourable or adverse.
Indicate what it suggests (e.g. “costs were higher than expected, or more material used than planned”).
Suggest possible reasons, linking back to operations (e.g. material quality, supplier changes, machine breakdowns, staff training).

Example explanation (material price variance – favourable):

“A favourable material price variance of R 1 040 suggests that the materials were purchased at a lower price than anticipated (actual price R 3.80 vs standard R 4.00). Possible causes include successful negotiation of discounts, purchasing lower-grade materials, or a general market decrease in raw material prices. Management should confirm that material quality has not deteriorated to avoid negative impact on usage and product quality.”

4. Relevant Costing and Short-Term Decision Making

4.1 Relevant vs Irrelevant Costs

Relevant costs are those that:

Differ between the alternatives being considered; and
Relate to the future.

Costs that are sunk, committed, or common to both alternatives are irrelevant.

Typical exam classifications:

Relevant costs:
- Future incremental variable costs (extra materials, labour, variable overhead).
- Additional avoidable fixed costs (e.g. extra supervisor salary for a specific order).
- Opportunity costs (profits foregone from an alternative use of resources).
Irrelevant costs:
- Sunk costs (e.g. original cost of a machine already purchased, past R&D).
- Allocated fixed overheads that will not change.
- Depreciation (non-cash, unless linked to tax effect in advanced questions).
- Book values (used only for accounting, not cash impact).

4.2 Special Order Decisions

A special order is an order outside normal sales, often at a special price (discounted), typically one-off.

Decision rule (short-term, spare capacity available):

Accept the order if incremental revenue > incremental costs, and if no negative strategic impact (e.g. regular customer relationships) arises.

Example:

A company has capacity to produce 50 000 units; current production is 40 000 units. It receives a special order for 5 000 units at R 35 per unit. Normal selling price is R 50. Variable cost per unit is R 22; no additional fixed costs.

Incremental revenue = 5 000 × 35 = R 175 000
Incremental costs = 5 000 × 22 = R 110 000
Incremental profit = 175 000 − 110 000 = R 65 000

If no adverse long-term considerations, the order should be accepted.

If there is no spare capacity, accepting the order may require:

Overtime (higher labour rates)
Sacrificing some regular sales (opportunity cost = lost contribution)

Then, opportunity cost must be included as relevant cost.

4.3 Make-or-Buy Decisions

A make-or-buy decision asks whether to manufacture a component internally or purchase it from an external supplier.

Short-term rule:
Compare the relevant cost of making with purchase price.

Relevant cost of making includes:

Direct materials
Direct labour (if additional or if labour can be used elsewhere to earn contribution)
Variable overheads
Any avoidable fixed costs (e.g. supervisor that can be saved if production stopped)
Opportunity costs (e.g. using factory space for other profitable products)

Example:

To produce 1 000 units of a component internally:

Direct materials: R 50 per unit
Direct labour: R 30 per unit (labour cannot be redeployed)
Variable overhead: R 10 per unit
Allocated fixed overhead: R 20 per unit (unchanged by decision)

External supplier offers to supply at R 95 per unit.

Relevant making cost:
= 50 + 30 + 10 = R 90 per unit (allocated fixed overhead irrelevant).

Compare with buy price:

Make: R 90
Buy: R 95

Saving = 95 − 90 = R 5 per unit.
Total saving for 1 000 units = R 5 000 ⇒ keep making.

If a question introduces opportunity cost (e.g. using factory for another product with contribution R 8 per unit of capacity used), then:

Relevant make cost becomes 90 + 8 = R 98 (including opportunity cost), which is more than buy price 95 ⇒ buy is preferred.

4.4 Product Mix Decisions Under Limiting Factors

Sometimes, a firm faces a scarce resource (limiting factor), e.g.:

Machine hours
Labour hours
Material supply

The objective is to maximise total contribution given the resource constraint.

Process:

Compute contribution per unit for each product.
Determine resource use per unit for each product (e.g. machine hours per unit).
Compute contribution per unit of limiting factor (contribution / resource per unit).
Rank products in descending order of contribution per limiting factor.
Allocate available resource starting with highest-ranked product.
If demand is limited, stop production at demand limit and move to next product.

Example:

There are 10 000 machine hours available. Two products:

	Product X	Product Y
SP (R)	80	100
VC (R)	50	60
Contribution	30	40
Machine hrs/unit	2	4
Max demand (units)	3 000	2 500

Contribution per machine hour:

X: 30 / 2 = R 15
Y: 40 / 4 = R 10

Ranking: Product X (15) > Product Y (10)
Allocate machine hours:

Produce X up to max demand: 3 000 units × 2 hours = 6 000 hours
Remaining hours = 10 000 − 6 000 = 4 000 hours
Use remaining hours for Y: 4 000 / 4 = 1 000 units (less than max demand)

Total contribution:

X: 3 000 × 30 = R 90 000
Y: 1 000 × 40 = R 40 000
Total = R 130 000

Any alternative mix must not exceed 10 000 hours and will yield ≤ R 130 000 contribution.

4.5 Add or Drop a Product / Service

Another common relevant costing question is whether to discontinue a product line or service that appears unprofitable, or to add a new line.

Rule:
Evaluate whether overall profit increases or decreases when the line is dropped/added, considering:

Lost contribution from the product/service
Fixed costs that can be avoided
Opportunity cost of capacity released (could another product be produced?)

Example:

Product Z:

Sales: R 300 000
Variable costs: R 210 000
Contribution: R 90 000
Direct fixed costs (avoidable if discontinued): R 60 000
Allocated fixed overhead: R 50 000 (unavoidable)

If Z is discontinued:

Lost contribution: R 90 000
Saved fixed costs: R 60 000
Net effect: R 60 000 − R 90 000 = R 30 000 decrease in profit.

Therefore, Z should not be discontinued, despite apparent accounting loss (when overhead allocation is included).

4.6 Qualitative and Strategic Considerations

Exams (especially UNISA-style theory questions) often seek acknowledgement that not all decisions can be made using numbers only. Qualitative factors include:

Effect on employee morale (layoffs vs overtime, skill retention).
Impact on customer relationships and brand image (e.g. accepting a low-priced order may upset regular customers).
Long-term supplier relationships and reliability if switching suppliers.
Strategic issues like entering or exiting a market segment.
Compliance with B-BBEE, labour laws, environmental regulations (important in South African context).

Answers should typically include a paragraph that discusses such non-financial factors after presenting the numerical analysis.

5. Performance Measurement, Divisional Analysis and Capital Budgeting

5.1 Responsibility Centres and Decentralisation

Large organisations often adopt decentralised structures, dividing operations into responsibility centres:

Cost centre: Manager is responsible for costs only (e.g. maintenance department).
Revenue centre: Manager responsible for revenue only (e.g. sales region).
Profit centre: Manager responsible for both revenue and costs (e.g. product line, retail branch).
Investment centre: Manager responsible for profit and investment in assets (e.g. division, subsidiary).

Performance measurement must be tailored to the type of centre:

Cost centre: cost variances, cost per unit, efficiency metrics.
Profit centre: segment profit, contribution margin.
Investment centre: ROI, Residual Income, EVA (in more advanced courses).

5.2 Return on Investment (ROI)

ROI is a widely used measure for investment centres.

[
\text{ROI} = \frac{\text{Operating profit}}{\text{Capital employed}} \times 100%
]

Where capital employed could be:

Total assets; or
Net assets (total assets − current liabilities); or
Fixed assets + working capital.

DuPont analysis breaks ROI into:

[
\text{ROI} = \text{Profit margin} \times \text{Asset turnover}
]

Where:

Profit margin = Operating profit / Sales
Asset turnover = Sales / Capital employed

Example:

Division A:

Sales: R 4 000 000
Operating profit: R 600 000
Capital employed: R 2 000 000

ROI = 600 000 / 2 000 000 × 100% = 30%

Profit margin = 600 000 / 4 000 000 = 15%
Asset turnover = 4 000 000 / 2 000 000 = 2 times
ROI = 15% × 2 = 30%

Advantages of ROI:

Simple, widely understood;
Relates profit to asset base;
Encourages efficient use of assets.

Limitations:

May encourage short-termism (rejecting positive NPV projects that reduce ROI).
Sensitive to measurement of profit and assets (historical vs current cost).
Comparisons may be distorted across divisions with different asset ages or risk profiles.

5.3 Residual Income (RI)

Residual Income addresses some ROI limitations by focusing on absolute value creation.

[
\text{RI} = \text{Operating profit} – (\text{Required rate of return} \times \text{Capital employed})
]

Required rate of return (also called imputed interest rate) reflects the minimum return the company expects on its investments.

Example:

Division B:

Operating profit: R 500 000
Capital employed: R 2 500 000
Required rate of return: 16%

RI = 500 000 − (0.16 × 2 500 000)
= 500 000 − 400 000
= R 100 000

Interpretation: Division B generates R 100 000 more than the minimum required return. A positive RI indicates value creation.

Comparison with ROI:

Suppose another division, C:

Operating profit: R 350 000
Capital employed: R 1 500 000
ROI = 350 000 / 1 500 000 × 100% ≈ 23.33%
RI (at 16%): 350 000 − (0.16 × 1 500 000)
= 350 000 − 240 000
= R 110 000

Division C has lower ROI than B (23.33% vs 20% if B’s ROI were 20%), but higher RI (R 110 000 vs R 100 000). From a shareholder value perspective, RI favours C because it creates more absolute value.

Advantages of RI:

Aligns divisional decisions with company-wide wealth maximisation;
Reduces disincentive to invest in projects with lower ROI than existing average but above required rate.

Limitations:

Harder to compare divisions of different sizes;
Requires agreement on required rate of return;
Less intuitive to some managers than ROI.

5.4 Transfer Pricing (Overview)

In divisionalised companies, internal transfer of goods/services between divisions raises pricing issues.

Objectives of a good transfer pricing system:

Encourage goal congruence (division managers act in the company’s best interests);
Allow fair performance evaluation;
Preserve managerial autonomy;
Be simple to administer.

Common transfer pricing methods:

Market-based: Transfer price = external market price.
Cost-based:
- Variable cost only;
- Full cost;
- Full cost plus markup.
Negotiated: Divisions negotiate a price within a range (between supplying division’s minimum acceptable and receiving division’s maximum acceptable).

Exam questions often focus on:

When a transfer should occur (e.g. if there is spare capacity, minimum transfer price is variable cost; if no spare capacity, opportunity cost included).
Effects on divisional profit and company profit.

5.5 Capital Budgeting: NPV, IRR and Payback

Although sometimes covered in separate finance modules, many Management Accounting II courses (such as at DUT and UNISA) include an introduction to capital budgeting.

5.5.1 Payback period

The payback period is the time it takes for cumulative net cash inflows to equal the initial investment.

Simple payback ignores the time value of money.
Projects with shorter paybacks are preferred, especially when liquidity risk is high.

Example:

Project costs R 300 000. Expected net cash inflows:

Year 1: 80 000
Year 2: 100 000
Year 3: 120 000
Year 4: 150 000

Cumulative inflows:

End Year 1: 80 000
End Year 2: 180 000
End Year 3: 300 000 (payback achieved exactly)

Payback period = 3 years.

If payback occurred in the middle of a year, interpolate:

Remaining to recover / cash inflow of that year.

5.5.2 Net Present Value (NPV)

NPV considers the time value of money by discounting future cash flows at a chosen discount rate (cost of capital).

[
\text{NPV} = \sum_{t=1}^{n} \frac{\text{Net cash flow}_t}{(1 + r)^t} – \text{Initial investment}
]

Where:

( r ) = discount rate
( t ) = year index

Decision rule:
If NPV > 0, accept the project (increases shareholder wealth).

Example:

Project requires R 300 000; expected net cash inflows:

Year 1: 120 000
Year 2: 130 000
Year 3: 140 000

Discount rate: 10%. Present value (PV) factors (1 / 1.10^t):

Year 1: 0.9091
Year 2: 0.8264
Year 3: 0.7513

PV of inflows:

Year 1: 120 000 × 0.9091 = 109 092
Year 2: 130 000 × 0.8264 = 107 432
Year 3: 140 000 × 0.7513 = 105 182

Total PV inflows = 109 092 + 107 432 + 105 182 = 321 706

NPV = 321 706 − 300 000 = R 21 706 (positive) ⇒ Project acceptable.

5.5.3 Internal Rate of Return (IRR)

IRR is the discount rate at which NPV = 0.

Calculation often involves trial and error or interpolation between two discount rates producing NPVs of opposite signs.

Example (overview):

At 10%, NPV is +R 21 706 (from previous example).
At 15%, suppose PV of inflows totals R 295 000, giving NPV = −R 5 000.

Simple linear interpolation:

[
\text{IRR} \approx 10% + \left(\frac{21 706}{21 706 + 5 000}\right) \times (15% – 10%)
]

[
\approx 10% + \left(\frac{21 706}{26 706}\right) \times 5%
\approx 10% + 0.8132 \times 5%
\approx 10% + 4.07% = 14.07%
]

Decision rule:
Accept the project if IRR > required rate of return (cost of capital).

5.6 Comparing NPV, IRR and Payback

In written exams, you may be asked to compare and critique these techniques.

Payback:

Advantages: Simple, focuses on liquidity and risk, useful in rapidly changing environments.
Disadvantages: Ignores time value of money, ignores cash flows after payback, may reject profitable long-term projects.

NPV:

Advantages: Sound theoretical basis, considers time value of money, directly linked to shareholder wealth.
Disadvantages: Requires estimating discount rate and cash flows; may be less intuitive.

IRR:

Advantages: Expresses return as a percentage, easier for managers to understand; considers time value.
Disadvantages: Multiple IRRs possible in non-conventional cash flows; can conflict with NPV rankings for mutually exclusive projects; assumes reinvestment at IRR (unrealistic).

For DUT CMAA201 and associated UNISA modules like CMA2602, NPV is usually emphasised as the most reliable primary decision criterion, with payback used as a supplementary risk indicator.

5.7 Strategic Management Accounting Linkages

Although the core of CMAA201 is technique-based, most curricula briefly introduce strategic management accounting (SMA) concepts:

Using cost and management accounting information for long-term strategic decisions.
Focus not just on internal processes but also on external information about competitors and markets.

Examples of SMA topics (briefly examinable as theory):

Value chain analysis: Understanding costs across the full value chain (R&D, design, production, marketing, distribution, after-sales).
Target costing: Setting allowable cost by subtracting desired profit from market-based selling price, then designing products/processes to achieve that cost.
Life-cycle costing: Analysing costs over the whole life of a product (development to disposal).
Balanced scorecard: Performance measurement framework including financial, customer, internal process, and learning & growth perspectives.

When answering strategic questions, link back to how CVP, budgeting, relevant costing and capital budgeting support:

Competitive advantage (e.g. cost leadership vs differentiation);
Sustainable profitability;
Long-term capacity planning and investment.

Final Exam Preparation Checklist for CMAA201 (DUT / UNISA-Aligned)

Use this as a quick self-test before the exam:

CVP Analysis
- Can you prepare a full contribution income statement?
- Can you compute BEP units, BEP sales, target profit, margin of safety?
- Can you handle multi-product CVP with sales mix?
Budgeting
- Can you prepare sales, production, materials, labour, overhead and cash budgets from given data?
- Can you produce a budgeted income statement and explain the role of budgets?
- Do you understand static vs flexible budgets and when to use them?
Standard Costing & Variances
- Can you calculate material price and usage variances correctly?
- Can you compute labour rate and efficiency variances?
- Are you able to interpret variances and suggest realistic causes?
Relevant Costing & Short-Term Decisions
- Can you identify relevant vs irrelevant costs in a detailed scenario?
- Can you evaluate special orders, make-or-buy, limiting factor product mix, and drop/add product decisions?
- Do you routinely consider qualitative factors in your written answers?
Performance Measurement & Capital Budgeting
- Can you compute and interpret ROI and Residual Income?
- Do you understand different responsibility centres and basic transfer pricing logic?
- Can you evaluate an investment using payback, NPV, and IRR, and explain their advantages and limitations?

Practise under timed conditions, use past DUT CMAA201 and UNISA CMA2602 exam papers, and focus your revision on both numerical accuracy and clear written explanations. Consistent practice with a calculator, correct formats, and structured interpretations is the most reliable way to achieve strong marks in Cost and Management Accounting 2 within the Durban University of Technology (DUT): National Diploma in Management Accounting framework.