MAC3701: Application of Management Accounting Techniques Study Notes (UNISA BCom Management Accounting)

MAC3701 (Application of Management Accounting Techniques) is a core third‑year module in the UNISA BCom Management Accounting stream and is closely aligned with similar courses at other South African universities such as CUT MNG3701 Management Accounting, UJ MAC3A01, and UP FRK 301. These study notes focus on exam‑oriented understanding and application of key management accounting techniques, using terminology and formats that align with typical UNISA MAC3701 exam questions and past papers. Emphasis is placed on step‑by‑step methods, structured workings, and common pitfalls that frequently cause students to lose marks.

The notes are organised around major topic areas: costing techniques, cost‑volume‑profit and short‑term decision‑making, budgeting and standard costing, performance measurement and divisional analysis, and strategic management accounting (including relevant contemporary techniques). Each section connects calculations to interpretations, because MAC3701 exam questions often require both numerical solutions and short written comments or recommendations.

1. Costing Techniques and Cost Allocation

Management accounting begins with a robust understanding of how costs behave and how they can be assigned to products, services, customers, or departments. For UNISA MAC3701 and similar modules (e.g. CUT MNG3701 Cost and Management Accounting), exam questions often require learners to demonstrate mastery of various costing methods, reconcile overheads, and explain the implications of different costing systems.

1.1 Cost Classification and Behaviour

Correct classification is crucial, because CVP analysis, budgeting, variance analysis, and decision‑making all depend on distinguishing between types of costs.

Key classifications:

• By traceability:

  • Direct costs: Can be traced economically and physically to a cost object (e.g. direct materials, direct labour).
  • Indirect costs: Cannot be traced economically to a single cost object; must be allocated (e.g. factory rent, supervisor salaries).

• By behaviour:

  • Variable costs: Change in total proportionately with activity level (e.g. raw materials per unit).
  • Fixed costs: Remain constant in total within the relevant range (e.g. factory depreciation).
  • Semi‑variable (mixed) costs: Contain both fixed and variable elements (e.g. telephone charges, electricity).
  • Step (semi‑fixed) costs: Fixed over certain ranges, then jump to a new level when capacity is expanded (e.g. adding a new shift supervisor once production passes a threshold).

• By function:

  • Manufacturing costs: Direct materials, direct labour, manufacturing overheads (MOH).
  • Non‑manufacturing costs: Selling and distribution, administration, finance costs.

Exam tip (MAC3701/UNISA and CUT MNG3701):

• When requested to classify costs, always state the basis of classification (e.g. "By behaviour, factory rent is a fixed cost"; "By traceability, supervisor salary is an indirect cost").
• For mixed costs, you may need to separate fixed and variable components using the high‑low method.

High‑low method example:

A company’s maintenance costs and machine hours are:

• High level: 10 000 machine hours, maintenance cost R55 000
• Low level: 5 000 machine hours, maintenance cost R35 000

1. Variable cost per machine hour:
   [
   \text{Variable cost per hour} = \frac{55,000 – 35,000}{10,000 – 5,000} = \frac{20,000}{5,000} = R4 \ \text{per hour}
   ]

2. Fixed cost:
   Using high level:
   [
   55,000 = (\text{Fixed}) + 4 \times 10,000 \Rightarrow \text{Fixed} = 55,000 – 40,000 = R15,000
   ]

So the cost function is:
[
\text{Total maintenance cost} = R15,000 + R4 \times (\text{machine hours})
]

In an exam, always declare the cost function clearly.

1.2 Absorption Costing vs Variable (Marginal) Costing

Absorption costing and variable costing (marginal costing) differ in how they treat fixed manufacturing overheads.

• Absorption costing (full costing):

  • All manufacturing costs (variable + fixed) are treated as product costs.
  • Fixed manufacturing overheads are allocated to units produced via a predetermined overhead rate.
  • Required for external financial reporting under IFRS.
  • Profit is sensitive to changes in inventory levels.

• Variable costing (marginal costing):

  • Only variable manufacturing costs are treated as product costs.
  • Fixed manufacturing overheads are treated as period costs and expensed in full in the period incurred.
  • Used primarily for internal decision‑making and CVP analysis.
  • Profit depends only on sales volume, not inventory changes.

Illustrative example (aligned with UNISA MAC3701 style):

Assume the following for one period:

• Production: 10 000 units
• Sales: 8 000 units
• Selling price: R50 per unit
• Variable manufacturing cost: R20 per unit
• Variable selling cost: R5 per unit
• Fixed manufacturing overheads: R120 000
• Fixed selling and admin: R40 000

1. Absorption costing:

   • Compute fixed MOH rate per unit:
     [
     \text{Fixed MOH rate} = \frac{120,000}{10,000} = R12 \text{ per unit}
     ]

   • Absorption cost per unit:

     • Direct (variable) manufacturing: R20
     • Fixed MOH allocated: R12
     • Total manufacturing cost = R32 per unit

   • Cost of goods sold (COGS):

     • Units sold: 8 000
     • COGS = 8 000 × R32 = R256 000

   • Sales:

     • 8 000 × R50 = R400 000

   • Gross profit:

     • R400 000 − R256 000 = R144 000

   • Selling and admin expenses:

     • Variable selling: 8 000 × R5 = R40 000
     • Fixed selling/admin: R40 000
     • Total selling/admin = R80 000

   • Profit:

     • R144 000 − R80 000 = R64 000

2. Variable (marginal) costing:

   • Variable manufacturing cost per unit: R20

   • Variable selling cost per unit: R5

   • Contribution income statement:

     • Sales: 8 000 × R50 = R400 000

     • Variable costs:

       • Manufacturing: 8 000 × R20 = R160 000
       • Selling: 8 000 × R5 = R40 000
       • Total variable costs = R200 000

     • Contribution:

       • R400 000 − R200 000 = R200 000

     • Fixed costs:

       • Fixed manufacturing overheads: R120 000
       • Fixed selling/admin: R40 000
       • Total fixed = R160 000

     • Profit:

       • R200 000 − R160 000 = R40 000

3. Reconciliation between absorption and variable costing profits:

   • Difference arises from inventory changes: 2 000 units remain in closing inventory (10 000 produced − 8 000 sold).

   • Under absorption costing, each unit includes R12 of fixed MOH; under variable costing, no fixed MOH is capitalised.

   • Fixed MOH deferred in inventory:
     [
     2,000 \times R12 = R24,000
     ]

   • Therefore:
     [
     \text{Absorption profit} = \text{Variable profit} + \text{fixed OH in closing inventory}
     ]
     [
     64,000 = 40,000 + 24,000
     ]

In many MAC3701 and CUT MNG3701 questions, you must:

• Prepare both income statements.
• Reconcile profits, clearly showing opening and closing inventories and the fixed overhead per unit.
• Comment on why profits differ.

1.3 Overhead Allocation, Apportionment and Absorption

In multi‑department manufacturing environments (e.g. University of South Africa case studies in MAC3701), overheads must be assigned carefully.

Steps:

1. Collection/accumulation of overhead costs by cost centre (e.g. maintenance, power, machining, assembly).

2. Allocation of direct overheads to cost centres (costs clearly identified with a department).

3. Apportionment of common overheads (e.g. rent) to cost centres based on appropriate bases (e.g. floor area, number of employees).

4. Re‑apportionment of service department costs (e.g. canteen, maintenance) to production departments using methods such as:

   • Direct method
   • Step‑down (sequential) method
   • Reciprocal method (simultaneous equations)

5. Absorption of the total overheads of production departments to units or jobs using absorption bases (e.g. machine hours, direct labour hours, units produced).

Example of apportionment basis:

Overhead item	Basis of apportionment
Factory rent	Floor area (m²)
Electricity	Machine hours / kWh meter readings
Supervisor salary	Number of employees / time spent
Depreciation	Asset values per department
Canteen costs	Number of employees

Overhead absorption rate (OAR):

[
\text{OAR} = \frac{\text{Budgeted overheads}}{\text{Budgeted units of absorption base}}
]

Common bases:

• Machine hours (machine‑intensive processes)
• Direct labour hours (labour‑intensive processes)
• Direct labour cost
• Units produced

Over‑ and under‑absorption:

At the end of the period:

• Over‑absorption: Overheads absorbed (charged) > actual overheads incurred.
• Under‑absorption: Overheads absorbed < actual overheads incurred.

Exam questions may require:

• Calculation of over/under‑absorption.
• Adjustment to cost of sales.
• Explanation of causes (e.g. incorrect budget, changes in activity level, unexpected price changes).

Quick illustration:

• Budgeted overheads: R600 000

• Budgeted machine hours: 30 000 MH

• OAR = R600 000 / 30 000 = R20 per MH

• Actual overheads: R620 000

• Actual machine hours: 32 000 MH

• Overheads absorbed: 32 000 × R20 = R640 000

• Over‑absorption:
  [
  640,000 – 620,000 = R20,000
  ]

In an exam, you might be required to write:

Overheads are over‑absorbed by R20 000 because the overhead absorbed (R640 000) exceeds the actual overheads incurred (R620 000), mainly due to higher actual activity levels than budgeted.

1.4 Activity‑Based Costing (ABC)

ABC is examined in MAC3701 and similar modules like UKZN ACCT300 Cost and Management Accounting. It refines product costing by focusing on activities that drive costs.

Key concepts:

• Activities: Tasks that consume resources (e.g. machine setup, order processing, quality inspection).
• Cost pools: Overheads grouped by activity.
• Cost drivers: Factors that cause activity costs (e.g. number of setups, orders, inspections).
• Cost driver rate:
  [
  \text{Driver rate} = \frac{\text{Cost pool}}{\text{Total driver quantity}}
  ]

ABC procedure:

1. Identify major activities and their cost pools.
2. Select cost drivers for each activity.
3. Compute driver rates.
4. Assign activity costs to products based on each product’s consumption of cost drivers.

Illustrative example:

A factory produces two products, X and Y. Total overheads (R600 000) are split into three activities:

Activity	Cost pool (R)	Cost driver	Total driver volume
Machine setups	150 000	Number of setups	300 setups
Orders processed	250 000	Number of orders	500 orders
Quality checks	200 000	Number of inspections	1 000 inspections

Product information:

Product	Units produced	Setups	Orders	Inspections
X	10 000	200	150	400
Y	5 000	100	350	600

1. Compute driver rates:

   • Setups: R150 000 / 300 = R500 per setup
   • Orders: R250 000 / 500 = R500 per order
   • Inspections: R200 000 / 1 000 = R200 per inspection

2. Assign overheads to each product:

   • Product X:

     • Setups: 200 × R500 = R100 000
     • Orders: 150 × R500 = R75 000
     • Inspections: 400 × R200 = R80 000
     • Total overhead for X = R255 000

   • Product Y:

     • Setups: 100 × R500 = R50 000
     • Orders: 350 × R500 = R175 000
     • Inspections: 600 × R200 = R120 000
     • Total overhead for Y = R345 000

   • Check total:
     [
     255,000 + 345,000 = 600,000
     ]

3. Overhead cost per unit:

   • Product X: R255 000 / 10 000 = R25.50 per unit
   • Product Y: R345 000 / 5 000 = R69.00 per unit

ABC typically shows that complex, low‑volume products (Y) consume more overhead resources per unit, which is important for pricing decisions and product mix choices.

Exam notes:

• Clearly identify cost drivers and justify why they are appropriate.
• Show all intermediate steps to earn method marks.
• In discussion parts, comment on why ABC often leads to better decisions compared to traditional volume‑based overhead allocation.

2. Cost–Volume–Profit Analysis and Short‑Term Decision‑Making

CVP analysis and short‑term decisions form a major part of application‑oriented questions in UNISA MAC3701 and similar papers like CUT MNG2601 Managerial Accounting. Learners must demonstrate both computational skill and the ability to interpret results for management.

2.1 Contribution, Break‑Even and Margin of Safety

Contribution is the central concept:

[
\text{Contribution} = \text{Sales} – \text{Variable costs}
]

Per unit:

[
\text{Contribution per unit} = \text{Selling price per unit} – \text{Variable cost per unit}
]

Contribution margin ratio (C/S ratio):

[
\text{C/S ratio} = \frac{\text{Contribution}}{\text{Sales}} = \frac{\text{Selling price} – \text{Variable cost}}{\text{Selling price}}
]

Break‑even point (BEP):

At break‑even, profit = 0, so contribution = fixed costs.

• In units:
  [
  \text{BEP units} = \frac{\text{Total fixed costs}}{\text{Contribution per unit}}
  ]
• In sales rand:
  [
  \text{BEP sales} = \frac{\text{Total fixed costs}}{\text{C/S ratio}}
  ]

Margin of safety (MOS):

• In units:
  [
  \text{MOS units} = \text{Actual / budgeted sales units} – \text{BEP units}
  ]
• In percentage:
  [
  \text{MOS %} = \frac{\text{MOS units}}{\text{Actual / budgeted sales units}} \times 100
  ]

Example:

A product sells for R80, variable cost per unit is R50, and total fixed costs are R300 000. Budgeted sales are 15 000 units.

1. Contribution per unit:
   [
   80 – 50 = R30
   ]

2. BEP units:
   [
   \frac{300,000}{30} = 10,000 \text{ units}
   ]

3. MOS units:
   [
   15,000 – 10,000 = 5,000 \text{ units}
   ]

4. MOS %:
   [
   \frac{5,000}{15,000} \times 100 = 33.33%
   ]

Exam questions might ask you to draw a break‑even chart or profit‑volume graph and interpret the MOS. Always explain MOS as a risk measure: a higher MOS indicates lower risk of making a loss.

2.2 Target Profit and Multi‑Product CVP

Target profit (units and sales):

To achieve a desired profit:

• In units:
  [
  \text{Units required} = \frac{\text{Fixed costs} + \text{Target profit}}{\text{Contribution per unit}}
  ]

• In rands:
  [
  \text{Sales required} = \frac{\text{Fixed costs} + \text{Target profit}}{\text{C/S ratio}}
  ]

Example:

Using the previous example (selling price R80, variable cost R50, fixed costs R300 000), required profit is R120 000.

[
\text{Units} = \frac{300,000 + 120,000}{30} = \frac{420,000}{30} = 14,000 \text{ units}
]

Multi‑product CVP (constant sales mix assumption):

When a company sells multiple products, CVP analysis is based on a weighted average contribution per unit or a weighted average C/S ratio, assuming a constant sales mix.

Illustration:

A company sells products A and B. Data:

Product	Selling price (R)	Variable cost (R)	Sales mix (units)
A	100	60	3
B	80	40	2

Fixed costs: R400 000.

1. Contribution per unit:

   • A: 100 − 60 = R40
   • B: 80 − 40 = R40

2. Sales mix: 3 A : 2 B ⇒ 5 units in the “combo”.

3. Contribution per combo:

   • A: 3 × 40 = R120
   • B: 2 × 40 = R80
   • Total = R200 per combo (5 units)

4. BEP in combos:

   [
   \frac{400,000}{200} = 2,000 \text{ combos}
   ]

5. BEP in units:

   • A: 2 000 × 3 = 6 000 units
   • B: 2 000 × 2 = 4 000 units

Exam questions might ask you to:

• Compute BEP in units of each product.
• Confirm the results by preparing an income statement at BEP.

2.3 Relevant Costing and Short‑Term Decisions

Relevant costs are future, incremental cash flows that differ between alternatives. Past (sunk) costs and costs that remain the same under all options are irrelevant.

Common decision types in MAC3701 and in CUT MNG3701:

1. Make or buy decisions
2. Special order pricing
3. Shutdown or continue operations
4. Limiting factor (scarce resource) decisions
5. Product mix and discontinuation decisions

2.3.1 Make or Buy

Consider whether to produce a component internally or buy it from an external supplier.

Relevant costs include:

• Avoidable variable costs and avoidable fixed costs of in‑house production.
• Purchase cost from supplier.
• Opportunity costs (e.g. using machine capacity for another product).

Example:

A company manufactures a component:

• Internal variable cost per unit: R40
• Fixed overheads attributable to the component: R120 000 per year (of which R80 000 are unavoidable general overheads)
• Annual requirement: 10 000 units
• Supplier offers: R50 per unit

1. Internal relevant cost per unit:

   • Variable cost: R40
   • Avoidable fixed overhead per unit: (R120 000 − R80 000) / 10 000 = R40 000 / 10 000 = R4
   • Total relevant cost = R44 per unit

2. External purchase cost: R50 per unit

3. Conclusion: Cheaper to make (R44 < R50). If there is an opportunity to use freed capacity, incorporate that opportunity cost into the comparison.

In exam answers, clearly distinguish between avoidable and unavoidable fixed costs.

2.3.2 Special Order Decisions

A special order is a one‑off order, often at a lower price, usually for export or a different market. The question: Does the order increase overall profit?

Conditions:

• There must be spare capacity.
• The order should not cannibalise regular sales at the normal selling price.
• Only include incremental costs and revenues.

Example:

Current operations:

• Normal selling price: R100 per unit
• Variable cost: R60 per unit
• Fixed costs: already covered by existing production

A foreign customer offers to buy 2 000 units at R70 per unit. Company has enough spare capacity.

1. Incremental revenue: 2 000 × R70 = R140 000
2. Incremental variable cost: 2 000 × R60 = R120 000
3. Incremental profit: R20 000

If there are no additional fixed costs and no impact on regular customers, the order should be accepted.

In discussion parts, highlight:

• Strategic issues (e.g. reputation, pricing precedent).
• Whether the special order may lead to repeat business.

2.3.3 Limiting Factor and Product Mix

Where a resource (e.g. machine hours, labour hours) is scarce, prioritise products that yield the highest contribution per unit of limiting factor.

Example:

A company makes products P and Q. Data:

Product	Selling price (R)	Variable cost (R)	Contribution (R)	Machine hours per unit
P	150	90	60	4
Q	100	60	40	2

Total available machine hours: 10 000.

1. Contribution per machine hour:

   • P: 60 / 4 = R15
   • Q: 40 / 2 = R20

2. Priority: Produce Q first, then P with remaining capacity.

If demand is limited as well, you must respect maximum sales demand for each product. In more complex exams (e.g. UNISA MAC3701 long questions), there may be multiple constraints requiring linear programming, but often the examinable level is still single limiting factor ranking.

3. Budgeting, Standard Costing and Variance Analysis

Budgeting and variance analysis are central to management planning and control. UNISA’s MAC3701 Application of Management Accounting Techniques, CUT’s MNG3701, and NWU’s CMAF 321 all emphasise the integration of budgeting with standard costing and performance evaluation.

3.1 Types and Purposes of Budgets

A budget is a quantitative plan for acquiring and using resources over a specified period.

Purposes:

• Planning
• Coordinating activities
• Communicating objectives
• Motivating employees
• Controlling (comparing actual vs. budget)
• Evaluating performance

Types of budgets:

• Master budget: Comprehensive set of interrelated budgets:

  • Sales budget
  • Production budget
  • Direct materials usage and purchase budgets
  • Direct labour budget
  • Manufacturing overhead budget
  • Selling and admin expense budget
  • Cash budget
  • Budgeted income statement and balance sheet

• Flexible vs fixed budgets:

  • Fixed (static) budget is prepared for a single level of activity.
  • Flexible budget adjusts budgets to actual activity levels, crucial for meaningful variance analysis.

• Incremental vs zero‑based budgets (ZBB):

  • Incremental: Last year’s budget/actuals adjusted for changes.
  • ZBB: Every expense must be justified from zero, used often in the public sector and by cost‑conscious organisations.

Illustration of a simple production budget:

Assume:

• Budgeted sales: 12 000 units
• Desired closing inventory: 3 000 units
• Opening inventory: 2 000 units

Production budget:

[
\text{Units to produce} = \text{Budgeted sales} + \text{Desired closing inventory} – \text{Opening inventory}
]

[
= 12,000 + 3,000 – 2,000 = 13,000 \text{ units}
]

Exam questions typically:

• Provide some budgets and ask you to derive others.
• Require logical structure: start from sales → production → purchases → cash.

3.2 Cash Budgeting

Cash budgets are common in UNISA MAC3701 exams as they test integration of multiple elements (timing of receipts, payments, credit terms, etc.) and require careful time‑line analysis.

Steps in preparing a cash budget:

1. Forecast cash inflows:

   • Cash sales.
   • Collections from debtors according to credit policy.
   • Other receipts (loans, asset disposals, interest received).

2. Forecast cash outflows:

   • Cash purchases.
   • Payments to creditors according to credit terms.
   • Operating expenses (wages, overheads).
   • Capital expenditures.
   • Tax, dividends, loan repayments, interest.

3. Determine net cash flow per period:
   [
   \text{Net cash flow} = \text{Total cash inflows} – \text{Total cash outflows}
   ]

4. Compute closing balance:
   [
   \text{Closing balance} = \text{Opening balance} + \text{Net cash flow}
   ]

5. Ensure minimum cash balance requirement; plan overdrafts or temporary investments.

Common pitfalls:

• Mixing accrual‑based figures with cash‑based budgets.
• Forgetting timing differences (e.g. purchases in one month paid in the next).
• Ignoring non‑cash items (e.g. depreciation) in cash budgets.

3.3 Standard Costing Systems

Standard costing involves setting predetermined (standard) costs for materials, labour, and overheads, then comparing them with actual costs to identify variances.

Types of standards:

• Ideal (perfection) standards: No wastage, no machine breakdowns.
• Currently attainable standards: Allow for normal wastage and inefficiency, usually used in practice.
• Basic standards: Long‑term standards used as a benchmark (like a price index).

Standard cost card example (per unit):

• Direct materials: 4 kg at R15/kg = R60
• Direct labour: 2 hours at R30/hour = R60
• Variable overhead: 2 hours at R10/hour = R20
• Fixed overhead: 2 hours at R15/hour (if based on normal capacity) = R30

Total standard production cost = R170 per unit.

Standard cost cards are typically given or must be constructed from narrative data in exam questions.

3.4 Variance Analysis: Materials

Variance analysis compares standard costs and quantities with actual costs and quantities, isolating reasons for deviations.

For direct materials:

1. Total material cost variance:

[
\text{Total variance} = \text{Standard cost for actual output} – \text{Actual cost}
]

Where:

• Standard quantity for actual output = Std qty per unit × Actual units produced.
• Standard cost = Standard quantity × Standard price.

2. Material price variance (MPV):

[
\text{MPV} = \text{Actual quantity} \times (\text{Standard price} – \text{Actual price})
]

3. Material usage (quantity) variance (MUV):

[
\text{MUV} = \text{Standard price} \times (\text{Standard quantity for actual output} – \text{Actual quantity})
]

Sign convention:

• Favourable (F): When actual cost < standard cost.
• Adverse/unfavourable (A): When actual cost > standard cost.

Worked example:

Standard: 4 kg per unit at R15 per kg.
Actual output: 1 000 units.
Actual: 4 500 kg used at R14 per kg.

1. Standard quantity for actual output:
   [
   4 \times 1,000 = 4,000 \text{ kg}
   ]

2. Standard cost:
   [
   4,000 \times 15 = R60,000
   ]

3. Actual cost:
   [
   4,500 \times 14 = R63,000
   ]

4. Total variance:
   [
   60,000 – 63,000 = R3,000 \text{ (A)}
   ]

5. MPV:
   [
   \text{MPV} = 4,500 \times (15 – 14) = 4,500 \times 1 = R4,500 \text{ (F)}
   ]

6. MUV:
   [
   \text{MUV} = 15 \times (4,000 – 4,500) = 15 \times (-500) = -R7,500 \text{ (A)}
   ]

7. Check:
   [
   4,500 \text{ (F)} + 7,500 \text{ (A)} = 3,000 \text{ (A)}
   ]

In written interpretations, you might say:

The favourable price variance suggests materials were purchased at a lower price than expected, possibly due to discounts. However, the adverse usage variance indicates higher consumption per unit than the standard, possibly due to wastage or inferior quality, resulting in an overall adverse cost variance.

3.5 Variance Analysis: Labour

For direct labour:

1. Total labour cost variance:

[
\text{Total variance} = \text{Standard labour cost for actual output} – \text{Actual labour cost}
]

2. Labour rate variance (LRV):

[
\text{LRV} = \text{Actual hours} \times (\text{Standard rate} – \text{Actual rate})
]

3. Labour efficiency variance (LEV):

[
\text{LEV} = \text{Standard rate} \times (\text{Standard hours for actual output} – \text{Actual hours})
]

Example:

Standard: 2 hours per unit at R30 per hour.
Actual output: 1 000 units.
Actual: 2 200 hours worked at R32 per hour.

1. Standard hours for actual output:
   [
   2 \times 1,000 = 2,000 \text{ hours}
   ]

2. Standard cost:
   [
   2,000 \times 30 = R60,000
   ]

3. Actual cost:
   [
   2,200 \times 32 = R70,400
   ]

4. Total variance:
   [
   60,000 – 70,400 = -R10,400 \text{ (A)}
   ]

5. LRV:
   [
   2,200 \times (30 – 32) = 2,200 \times (-2) = -R4,400 \text{ (A)}
   ]

6. LEV:
   [
   30 \times (2,000 – 2,200) = 30 \times (-200) = -R6,000 \text{ (A)}
   ]

7. Check:
   [
   4,400 \text{ (A)} + 6,000 \text{ (A)} = 10,400 \text{ (A)}
   ]

Interpretation:

• Rate variance: higher wages or increased overtime premiums.
• Efficiency variance: lower productivity, machine breakdowns, poor supervision.

In South African university exams (UNISA MAC3701, UJ MAC3A01), you may also encounter idle time variances and labour mix/yield variances in more advanced questions.

3.6 Overhead Variances and Fixed vs Variable Overheads

Overhead variances are more complex, often involving:

• Variable overhead variances (expenditure and efficiency).
• Fixed overhead variances (expenditure, volume, capacity, efficiency).

Variable overhead variances:

1. Total variable overhead variance:
   [
   \text{Standard VOH for actual output} – \text{Actual VOH}
   ]

2. Expenditure variance:
   [
   \text{Actual hours} \times (\text{Standard VOH rate} – \text{Actual VOH rate})
   ]

3. Efficiency variance:
   [
   \text{Standard VOH rate} \times (\text{Standard hours for actual output} – \text{Actual hours})
   ]

Fixed overhead variances assume overheads are absorbed based on standard hours for normal capacity.

Key variances:

• Fixed overhead expenditure (budget) variance:
  [
  \text{Budgeted fixed OH} – \text{Actual fixed OH}
  ]

• Fixed overhead volume variance:
  [
  \text{Standard fixed OH for actual output} – \text{Budgeted fixed OH}
  ]

Volume variance can be further split into:

• Capacity variance.
• Efficiency variance.

In MAC3701 exams, a structured approach is critical; ensure overhead absorption rates are correctly determined and link the variance analysis back to potential operational or planning issues.

4. Performance Measurement, Divisionalisation and Transfer Pricing

As organisations decentralise, performance measurement shifts from just product costs to divisional results, especially in larger companies and public entities. This is aligned with advanced content in UNISA MAC3701, UNISA AUE3703, and other BCom modules.

4.1 Responsibility Centres and Types of Divisions

A responsibility centre is a segment of the organisation whose manager is responsible for particular outcomes.

Types:

1. Cost centre: Manager is responsible only for costs (e.g. production department).
2. Revenue centre: Manager is responsible only for revenues (e.g. sales territory).
3. Profit centre: Manager is responsible for both revenues and costs (e.g. a branch).
4. Investment centre: Manager is responsible for profits and investment in assets (e.g. a semi‑autonomous division).

Exam questions might provide segmented income statements and ask you to categorise responsibility centres or comment on the appropriateness of using certain performance measures.

4.2 Return on Investment (ROI) and Residual Income (RI)

Return on Investment (ROI):

[
\text{ROI} = \frac{\text{Net profit}}{\text{Average investment}} \times 100
]

Or decomposed using Du Pont analysis:

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

Where:

• Profit margin = Net profit / Sales.
• Asset turnover = Sales / Average investment.

Advantages:

• Widely understood.
• Relates profits to assets used.

Limitations:

• Can discourage managers from investing in projects that earn more than the cost of capital but lower than current ROI (goal incongruence).

Residual Income (RI):

[
\text{RI} = \text{Net profit} – (\text{Required rate of return} \times \text{Average investment})
]

RI measures the absolute amount of value created beyond a required return.

Example:

Division A:

• Net profit: R600 000
• Average investment: R3 000 000
• Required rate of return: 15%

1. ROI:
   [
   \frac{600,000}{3,000,000} \times 100 = 20%
   ]

2. RI:
   [
   600,000 – (0.15 \times 3,000,000) = 600,000 – 450,000 = R150,000
   ]

In a typical MAC3701 question, you may be asked to:

• Compute ROI and RI for multiple divisions.
• Recommend which division is performing better considering both measures.
• Explain why RI can lead to better goal congruence than ROI.

4.3 Segmental Performance and Controllable vs Uncontrollable Items

Segmental (divisional) income statements often include:

• Revenue.
• Variable costs.
• Contribution.
• Traceable fixed costs (directly attributable to the division).
• Common fixed costs (allocated).

Controllability:

• Controllable costs: Costs a manager can significantly influence during their period of responsibility (e.g. departmental labour).
• Uncontrollable costs: Costs outside their sphere of influence (e.g. allocated head office costs).

For performance evaluation, it is more appropriate to focus on controllable profit for which the manager is responsible.

Sample segment report:

	Division X (R)	Division Y (R)
Sales	2 000 000	1 500 000
Variable costs	1 200 000	900 000
Contribution	800 000	600 000
Traceable fixed	400 000	350 000
Segment profit	400 000	250 000
Allocated head office costs	150 000	150 000
Net profit	250 000	100 000

Exam questions:

• Ask to compute segment margin and net profit.
• Request commentary on whether head office allocations should be considered in evaluating divisional managers’ performance.

4.4 Transfer Pricing in Decentralised Organisations

In multi‑divisional organisations, one division may supply goods or services to another division. Transfer pricing is the internal price charged for these transfers. This is a recurring topic in MAC3701 and similar modules like UCT ACC3003 Management Accounting.

Objectives of transfer pricing:

• Encourage goal congruence.
• Motivate managers.
• Preserve divisional autonomy.
• Provide useful performance measures.
• Ensure accurate divisional profit measurement.

Common transfer pricing methods:

1. Market‑based transfer prices:

   • Based on external market price.
   • Often ideal when an active external market exists.

2. Cost‑based transfer prices:

   • Variable cost.
   • Full (absorption) cost.
   • Cost plus markup.

3. Negotiated transfer prices:

   • Result from negotiation between buyer and seller division managers.

4. Dual pricing (less common in practice, more in textbooks):

   • Supplying division records at one price (e.g. cost plus markup) and receiving division records at another (e.g. variable cost), with head office adjusting the difference.

Opportunity cost approach:

When spare capacity is an issue, the economically sound transfer price is:

[
\text{Transfer price} = \text{Incremental (variable) cost per unit} + \text{Opportunity cost per unit}
]

Opportunity cost per unit equals the contribution lost from not selling externally.

Example:

Division A produces a component at:

• Variable cost: R60 per unit
• Full cost (incl. fixed): R90 per unit
• External selling price: R100 per unit

Division B requires the component. Two scenarios:

1. Division A has spare capacity (cannot sell all units externally):

   • Opportunity cost = 0 (no external sale is sacrificed).
   • Minimum transfer price = variable cost = R60.
   • If negotiated above R60 but below R100, both divisions can benefit.

2. Division A has no spare capacity (all output can be sold externally):

   • Opportunity cost per unit = contribution lost from external sale = (Selling price − Variable cost) = 100 − 60 = R40.
   • Minimum transfer price = variable cost (R60) + opportunity cost (R40) = R100.

In exams, structure answers:

1. State capacity situation clearly.
2. Show the minimum transfer price.
3. If asked, propose a range for negotiation (e.g. between supplying division’s minimum and buying division’s maximum willingness to pay).

5. Strategic Management Accounting and Contemporary Techniques

Modern management accounting extends beyond internal cost records to broader strategic perspectives. MAC3701, together with related modules like UNISA MAC3702 Strategic Management Accounting, CUT MNG3705 Strategic Cost Management, and UJ ACCT3002, integrate these techniques into exam questions, often in discussion‑style or short case study format.

5.1 Relevant Costing in Strategic Context

While Section 2 covered relevant costing in operational decisions, at strategic level:

• Time horizon is longer.
• Strategic issues (capacity expansion, market positioning, technology changes) dominate.
• Non‑financial factors such as environmental impact, B‑BBEE considerations, and social responsibilities (especially in South African public‑sector contexts) become significant.

Strategic relevant costs examples:

• Long‑term outsourcing vs in‑house production decisions requiring analysis of:

  • Future wage trends in South Africa.
  • Exchange rate risks for imported materials.
  • Technological obsolescence.

• Capital‑intensive projects for state‑owned entities (SOEs) must consider:

  • Lifecycle costs.
  • Maintenance and decommissioning costs.
  • Regulatory compliance costs.

In written exam questions, marks are often awarded for identifying qualitative considerations and risk factors, not just for numerical calculations.

5.2 Life‑Cycle Costing

Product life‑cycle stages:

1. Development and design.
2. Introduction.
3. Growth.
4. Maturity.
5. Decline.

Life‑cycle costing tracks the total costs and revenues across all stages, rather than focusing only on manufacturing.

Key points:

• Early design decisions set most of a product’s eventual cost.
• Life‑cycle costing encourages investment in R&D and design for manufacturability.
• In industries common in South Africa (mining equipment, automotive components), large upfront development and tooling costs must be recovered over the product’s productive life.

Example application:

A new component requires R2 million in development costs, has an expected life of 5 years, and is expected to yield annual after‑tax profits of R600 000. Life‑cycle profit:

[
\text{Total profit over life} = 5 \times 600,000 – 2,000,000 = 3,000,000 – 2,000,000 = R1,000,000
]

Exams may require:

• Calculation of life‑cycle cost per unit.
• Discussion of pricing strategies to recover lifecycle costs.

5.3 Target Costing and Value Engineering

Target costing is market‑driven. Steps:

1. Determine a target selling price based on market research and competitor analysis.
2. Determine required profit (often using target return on sales).
3. Compute target cost:
   [
   \text{Target cost} = \text{Target selling price} – \text{Target profit}
   ]
4. Compare initial (estimated) cost to target cost.
5. Use value engineering to reduce costs while maintaining required functionality and quality.

Example:

Market research suggests the competitive selling price of a new product is R800. The company requires a 25% profit margin on selling price.

1. Target profit:
   [
   0.25 \times 800 = R200
   ]

2. Target cost:
   [
   800 – 200 = R600
   ]

If the initial estimated cost is R650, then cost gap:

[
650 – 600 = R50 \text{ per unit}
]

Value engineering must find ways to reduce costs by R50/unit, through:

• Alternative materials.
• Process improvements.
• Design changes (e.g. modular components).

In written parts of MAC3701 exams, you might be asked to:

• Explain why target costing is especially relevant in competitive markets.
• Identify risks (e.g. quality reduction, customer dissatisfaction).

5.4 Just‑in‑Time (JIT) and Throughput Accounting

Just‑in‑Time (JIT) aims to minimise inventory and produce only when needed. Common in manufacturing environments in South Africa’s automotive and electronics sectors.

Key characteristics:

• Very low inventory levels.
• Strong supplier relationships.
• Flexible, multi‑skilled workforce.
• Emphasis on quality at source (zero defects).

Implications for management accounting:

• Traditional overhead allocation based on output volume may be less relevant.
• Stockholding costs reduce; penalties for stock‑outs increase.
• Standard costing variances may be harder to interpret when batch sizes are very small.

Throughput accounting is linked to Theory of Constraints (TOC).

Key measures:

• Throughput contribution = Sales − Direct material costs.
• Investment: Mainly inventory and equipment.
• Operating expense: All other costs excluding direct materials.

The primary objective is to maximise throughput contribution per unit of the bottleneck resource.

Simple example:

A production line’s bottleneck is process B, with 1 000 hours available per month.

Product P:

• Selling price: R300
• Direct material: R100
• Processing time on B: 2 hours per unit

Throughput contribution per unit:
[
300 – 100 = R200
]

Throughput per hour of bottleneck:
[
200 / 2 = R100 \text{ per hour}
]

To decide between products, compare throughput per hour of bottleneck, similar in spirit to limiting factor analysis (Section 2.3.3).

5.5 Balanced Scorecard and Non‑Financial Performance Measures

The Balanced Scorecard (BSC), widely discussed in advanced management accounting modules (e.g. UNISA MAC3702, UP GGY 356 in public sector contexts), complements financial measures with non‑financial indicators.

Four perspectives:

1. Financial:
   • ROI, RI.
   • Sales growth, operating margin, cash flow.
2. Customer:
   • Customer satisfaction indices.
   • Market share.
   • On‑time delivery percentage.
3. Internal business processes:
   • Cycle time, defect rates.
   • Process efficiency.
4. Learning and growth (innovation):
   • Employee training hours.
   • Staff turnover.
   • Number of new products launched.

Exam questions:

• Ask you to design a BSC for a specific company (e.g. a South African retail chain, manufacturing firm, or public hospital).
• Expect discussion on how these measures link to strategy and encourage long‑term value creation.

Example BSC indicators for a manufacturing firm:

Perspective	Strategic objective	Measure
Financial	Improve profitability	ROI, economic value added (EVA)
Customer	Deliver high quality on time	On‑time delivery %, defect returns %
Internal processes	Increase production efficiency	Machine utilisation %, cycle time
Learning & growth	Build a skilled workforce	Training hours per employee, staff retention rate

In MAC3701/3702 style discussion questions, marks are awarded for:

• Appropriate selection of indicators.
• Clear explanation of cause‑and‑effect links between perspectives (e.g. training → process improvement → higher customer satisfaction → improved financial results).

5.6 Environmental and Sustainability Accounting (Context for South Africa)

With South Africa’s strong regulatory and societal focus on sustainability (e.g. integrated reporting frameworks, King IV), strategic management accounting increasingly incorporates environmental and social considerations.

Possible exam discussion points:

• Environmental cost management:

  • Classifying costs as prevention, appraisal, internal failure, external failure (similar to quality costs).
  • Investing in cleaner technologies may reduce long‑term external failure costs (e.g. pollution fines, remediation).

• Sustainability performance measures:

  • Energy consumption per unit produced.
  • Carbon emissions.
  • Water usage per unit (critical in water‑scarce regions).
  • Waste recycled vs disposed.

• Integrated reporting implications:

  • Financial and non‑financial information integrated to show value creation over time.
  • Management accounting provides internal data that feeds into external sustainability reports.

In UNISA BCom Management Accounting programmes, students are expected not only to execute calculations but also to demonstrate an awareness of these broader issues when making recommendations.

These MAC3701: Application of Management Accounting Techniques Study Notes (UNISA BCom Management Accounting) integrate computational techniques with the interpretive and strategic thinking required to succeed in South African university exams such as UNISA MAC3701, CUT MNG3701, and similar modules at UJ, UP, NWU, UKZN. Effective exam preparation involves practising numerical problems, reviewing past papers, and refining the ability to explain results clearly and concisely in written form.