CMA150S: Cost Management Accounting I Exam Pack — CPUT National Diploma in Accounting

This comprehensive exam pack provides structured, detailed notes and worked examples for CMA150S: Cost Management Accounting I as offered in the National Diploma in Accounting at the Cape Peninsula University of Technology (CPUT). It aligns closely with first‑year cost accounting outcomes that also support modules at other South African institutions (for example, UNISA DSC1630 Cost Accounting, CUT FMA15AB Financial and Management Accounting, and NWU CMAF111 Cost and Management Accounting). The focus is on concepts, formats and calculation techniques frequently tested in South African university and TVET exams. Use these notes alongside your official CPUT CMA150S study guide, prescribed textbook, and past papers.

1. Role, Concepts and Classification in Cost Management Accounting I (CMA150S)

Cost Management Accounting I at CPUT introduces the concepts and language that underpin all later cost and management accounting work. A clear understanding of why cost information is produced and how it is classified is essential before tackling calculations, budgets or variance analysis.

1.1 Purpose and Scope of Cost and Management Accounting

Cost and management accounting serves internal decision‑makers. While financial accounting (such as CPUT module FAC1501 in some programmes) focuses on external reporting under IFRS, CMA150S emphasizes information for planning, control and decision‑making.

Key purposes:

  • Cost determination and measurement

    • Establish the cost per unit of products or services.
    • Value closing inventory for internal reporting and, where applicable, statutory reporting.
    • Provide input for pricing and product mix decisions.
  • Planning and budgeting

    • Support preparation of operating budgets, cash budgets, and capital budgets.
    • Translate strategic and tactical plans into quantified targets (sales, production, costs).
    • Allocate resources across departments and cost centres.
  • Control and performance evaluation

    • Compare actual results with budgets or standards.
    • Analyse variances to identify causes and responsibility centres.
    • Support performance measurement of managers and departments.
  • Decision‑making and strategy

    • Provide data for decisions such as:
      • Make‑or‑buy
      • Special orders
      • Product discontinuation
      • Limiting factor (bottleneck) analysis
    • Assist in evaluating short‑term vs long‑term implications.

Whereas a UNISA student in DSC1630 Cost Accounting might see similar objectives framed around the “role of management accounting in the value chain,” CPUT’s CMA150S typically emphasises practical production and service examples relevant to South African contexts (manufacturing, retail, mining services, logistics).

1.2 Key Cost Terms and Definitions

A strong exam strategy is to start each written or calculation question by clearly stating and applying the correct terms:

  • Cost: The monetary value of resources sacrificed to achieve an objective (e.g. producing units, rendering a service).

  • Expense: A cost that has been used up (expired) in generating revenue during a period and is charged to profit or loss.

  • Cost object: Anything for which cost is measured – a product, service, customer, contract, department, or project.

  • Cost centre: A location, function, or activity for which costs are collected (e.g. machining department, canteen).

  • Profit centre: A segment for which both revenues and costs are measured (e.g. product line or branch).

  • Investment centre: A segment where performance is judged based on profits relative to assets employed (often examined in later modules like CPUT’s advanced management accounting, or UNISA’s MAC3701).

In CMA150S short theory questions (often 5–10 marks), definitions must be concise but complete. Examiners frequently expect you to identify the cost object and cost behaviour in a narrative problem.

1.3 Cost Classification by Nature and Function

1.3.1 Direct vs Indirect Costs

  • Direct costs

    • Can be traced conveniently and economically to a specific cost object.
    • Common in manufacturing examples at CPUT, UNISA, and CUT.
    • Examples:
      • Direct materials (DM): Steel used in a vehicle component, flour for bread in a bakery.
      • Direct labour (DL): Wages of assembly‑line workers, bakers, machine operators.
  • Indirect costs

    • Cannot be traced directly to a specific cost object in an economically feasible way.
    • Must be allocated or apportioned.
    • Examples:
      • Factory supervisor salary
      • Factory rent and rates
      • Factory depreciation
      • Indirect materials (lubricants, cleaning materials)
      • Indirect labour (storekeepers, maintenance staff)

Exam tip: When asked to “classify the following as direct or indirect,” first define your cost object (e.g. the product or the department) and then decide. A cost may be direct to a department but indirect to a product.

1.3.2 Product vs Period Costs

  • Product (inventoriable) costs

    • Costs that attach to units produced and are carried in inventory until sold.
    • Typically include: Direct materials + Direct labour + Manufacturing overhead.
    • In a full costing system, these costs form part of cost of goods sold when units are sold.
  • Period costs

    • Expensed in the period incurred; not attached to units.
    • Include most selling, distribution and administrative expenses.
    • Examples: Office rent, advertising, accounting staff salaries.

In South African syllabi (CPUT CMA150S, CUT FMA15AB, UNISA FAC1502), MCQ questions frequently test whether items like factory insurance are product costs (yes) versus office insurance (period cost).

1.4 Cost Behaviour: Variable, Fixed and Semi‑Variable

CMA150S exam questions often require classification of costs by behaviour and computation of a total cost function for budgeting or break‑even analysis.

  • Variable costs

    • Change in total proportionally to activity level (within the relevant range).
    • Constant per unit.
    • Example: Direct materials of R30 per unit; total DM = R30 × units.
  • Fixed costs

    • Remain constant in total within a relevant range, regardless of activity.
    • Change per unit as volume changes (decreasing as volume rises).
    • Examples: Factory rent of R50 000 per month, fixed salaries of supervisors.
  • Semi‑variable (mixed) costs

    • Have both fixed and variable components.
    • Example: Electricity with a base charge of R5 000 per month plus 0.50c per kWh used.
    • Analysed using methods like:
      • High‑low method
      • Scattergraph
      • Regression (rare in CMA150S, but more common later).

Example:
A CPUT CMA150S question provides the following maintenance cost data:

Month Machine hours Maintenance cost (R)
Jan 2 000 18 000
Feb 3 500 22 500

Using high‑low method:

  • Change in hours = 3 500 – 2 000 = 1 500
  • Change in cost = 22 500 – 18 000 = 4 500
  • Variable cost per hour = 4 500 / 1 500 = R3
  • Fixed cost = 18 000 – (2 000 × 3) = 18 000 – 6 000 = R12 000

Cost function:

Maintenance cost = R12 000 + R3 × machine hours

Expected exam marks are awarded for clear workings and labelling of fixed and variable components.

1.5 Cost Classification by Decision Use

Later in CMA150S and subsequent modules (e.g. CPUT CMA260S or UNISA MAC2601), you must evaluate which costs are relevant for decisions.

  • Relevant costs: Future costs that will differ between alternatives.
  • Irrelevant costs: Costs that do not differ between alternatives, including most sunk costs.

Types of relevant costs:

  • Incremental (differential) cost: Additional cost of choosing one option over another.
  • Opportunity cost: Benefit foregone by choosing one alternative over the next best.
  • Avoidable (escapable) cost: Cost that can be saved by discontinuing an activity.

Example: A CPUT CMA150S scenario about accepting a special order at a reduced selling price tests understanding that fixed factory overheads usually remain unchanged and are irrelevant in the short term, while variable production costs and any special additional costs are relevant.

2. Costing Methods and Inventory Valuation (Job, Process and Service Costing)

CMA150S places heavy emphasis on costing methods used to accumulate and assign product and service costs. This section aligns with topics found in UNISA DSC1630 job costing, CUT FMA15AB process costing, and similar first‑year modules.

2.1 Job Order Costing

Job order costing is used when products are customised or produced in batches; each job differs in resources consumed.

Typical environments:

  • Engineering workshops
  • Printing shops
  • Furniture manufacturers
  • Construction projects
  • Special contracts in a service firm (audits, consulting)

2.1.1 Job Cost Sheet and Flow of Costs

The job cost sheet accumulates costs for a specific job:

  • Direct materials
  • Direct labour
  • Manufacturing overhead applied

Example: Job 107 in a small factory (a common CPUT exam context):

Cost element Amount (R)
Direct materials 18 000
Direct labour (900 hrs @ R50/hr) 45 000
Applied factory overhead (900 hrs @ R30/hr) 27 000
Total job cost 90 000

If the job produced 300 units, cost per unit = 90 000 / 300 = R300.

Exams test:

  • Setting up or completing job cost sheets.
  • Applying overhead using a predetermined rate.
  • Computing cost per unit and deciding on a selling price (e.g., cost‑plus).

2.1.2 Predetermined Overhead Rate (POHR)

Manufacturing overhead is usually applied based on a pre‑set rate determined at the beginning of the period:

POHR = Budgeted manufacturing overhead / Budgeted activity base

Activity base might be:

  • Direct labour hours
  • Machine hours
  • Direct labour cost

Example (CPUT CMA150S typical numeric):

  • Budgeted manufacturing overhead = R1 200 000
  • Budgeted machine hours = 60 000
  • POHR = 1 200 000 / 60 000 = R20 per machine hour

A job using 1 500 machine hours gets overhead of:

  • 1 500 × 20 = R30 000 applied overhead.

Exams may also test over‑applied or under‑applied overhead:

  • If actual overhead > applied overhead → under‑applied (debit balance).
  • If actual overhead < applied overhead → over‑applied (credit balance).

Students must often:

  1. Calculate the under‑ or over‑applied amount.
  2. Show how it is closed off (for example, to cost of sales).

2.2 Process Costing

Process costing is used where production is continuous and units are homogeneous:

  • Food processing
  • Chemical plants
  • Paint manufacturing
  • Oil refining
  • Brick factories

CPUT CMA150S and CUT FMA15AB both emphasise:

  • Process accounts
  • Normal and abnormal losses
  • Equivalent units (weighted average method, sometimes FIFO)

2.2.1 Basic Process Costing Flow

In a simple case with one process:

  1. Opening work in process (WIP) (if any)
  2. Add: Materials, Labour, Overheads
  3. Units completed and transferred out
  4. Closing WIP

In a multi‑process system (e.g., Mixing → Refining → Finishing), costs and completed units are transferred from each process to the next.

2.2.2 Normal and Abnormal Loss

  • Normal loss

    • Expected, unavoidable waste under normal operating conditions.
    • Cost is absorbed by good production.
    • Any scrap value of normal loss is credited to the process account.
  • Abnormal loss

    • Loss above the normal expected level.
    • Treated as an expense and shown in an abnormal loss account.
    • Valued at the cost per good unit.
  • Abnormal gain

    • When actual loss is less than normal.
    • Treated as a gain and recorded in an abnormal gain account.

Example:
Process A input: 10 000 units; normal loss = 10%. Output: 8 700 good units and 1 200 loss units.

  • Expected normal loss = 10 000 × 10% = 1 000 units
  • Actual loss = 1 200 units → Abnormal loss of 200 units
  • Assume scrap value of normal loss = R0.50 per unit
  • Total costs of process (excluding scrap) = R60 000

Compute cost per unit:

  1. Net cost = R60 000 – (1 000 × 0.50) = R60 000 – R500 = R59 500
  2. Expected good output = 10 000 – 1 000 = 9 000 units
  3. Cost per good unit = 59 500 / 9 000 ≈ R6.61 per unit
  4. Abnormal loss cost = 200 × 6.61 ≈ R1 322

Exam questions require you to:

  • Draw the process account.
  • Show normal loss, abnormal loss/gain, and transfer to next process or finished goods.
  • Sometimes prepare the abnormal loss account and loss on abnormal loss (if scrap value exists).

2.2.3 Equivalent Units (Weighted Average Method)

Where WIP has different stages of completion for materials and conversion (labour + overhead), equivalent units standardise the partially completed units.

Steps:

  1. Determine units to be accounted for (opening WIP + units started).
  2. Determine units accounted for (completed and transferred + closing WIP).
  3. Compute equivalent units for materials and conversion separately.
  4. Calculate cost per equivalent unit.
  5. Assign costs to completed output and closing WIP.

Example (simplified, CPUT‑style):

  • Opening WIP: 2 000 units (40% complete for conversion)
  • Units started: 8 000
  • Units completed and transferred: 7 000
  • Closing WIP: 3 000 units (80% complete for conversion)
  • Materials added at start (thus 100% complete for all units in process)
  • Costs:
    • Opening WIP:
      • Materials: R10 000
      • Conversion: R4 000
    • Current period:
      • Materials: R40 000
      • Conversion: R26 000

Using weighted average:

  • Total units = 2 000 + 8 000 = 10 000
  • Units accounted: 7 000 completed + 3 000 closing WIP = 10 000
  • Equivalent units:
    • Materials:
      • Completed: 7 000 × 100% = 7 000
      • Closing WIP: 3 000 × 100% = 3 000
      • Total = 10 000
    • Conversion:
      • Completed: 7 000 × 100% = 7 000
      • Closing WIP: 3 000 × 80% = 2 400
      • Total = 9 400

Total costs:

  • Materials: 10 000 + 40 000 = R50 000
  • Conversion: 4 000 + 26 000 = R30 000

Cost per equivalent unit:

  • Materials: 50 000 / 10 000 = R5.00
  • Conversion: 30 000 / 9 400 ≈ R3.19

Assign costs:

  • Completed (7 000 units):

    • Materials: 7 000 × 5.00 = 35 000
    • Conversion: 7 000 × 3.19 ≈ 22 330
    • Total ≈ R57 330
  • Closing WIP (3 000 units):

    • Materials: 3 000 × 5.00 = 15 000
    • Conversion: 2 400 × 3.19 ≈ 7 656
    • Total ≈ R22 656

In CMA150S and parallel modules at UNISA and CUT, marks are awarded for:

  • A clear equivalent units table.
  • Calculation of cost per equivalent unit.
  • Correct apportionment to completed units and WIP.

2.3 Service Costing (Operating Costing)

Even though CMA150S is often manufacturing‑oriented, CPUT’s National Diploma in Accounting and other universities (e.g. DUT CMA101, UNISA DSC1630) incorporate service costing for entities like:

  • Transport companies (trucks, buses, taxis).
  • Hospitals and clinics.
  • Hotels and guest houses.
  • Educational institutions (per student or per course cost).

Service costing uses:

  • A cost unit suited to the service, such as:
    • Passenger‑kilometres (bus operator)
    • Tonne‑kilometres (road freight)
    • Patient‑days (hospital)
    • Room‑nights (hotel)
  • Detailed classification of operating costs, including fuel, repairs, drivers’ wages, insurance, licences, etc.

Example: Road Freight Service Costing

A trucking company operates a vehicle over 15 000 km per month. Information:

  • Fuel: R90 000 per month (variable with km)
  • Maintenance: R30 000 per month (semi‑variable; for exam simplicity treated as variable here)
  • Driver’s wage: R20 000 per month (fixed per month for this vehicle)
  • Insurance and licence: R10 000 per month (fixed)
  • Admin and overhead allocation: R15 000 per month (fixed)
  • Average load: 10 tonnes per trip, total distance 15 000 km with full load each km.

Calculate:

  1. Total monthly cost

    • Variable costs:
      • Fuel: 90 000
      • Maintenance: 30 000
      • Total variable = 120 000
    • Fixed costs:
      • Driver’s wage: 20 000
      • Insurance & licence: 10 000
      • Admin & overhead: 15 000
      • Total fixed = 45 000
    • Total = 120 000 + 45 000 = R165 000
  2. Cost per tonne‑kilometre (tonne‑km)

    • Total tonne‑km = 10 tonnes × 15 000 km = 150 000 tonne‑km
    • Cost per tonne‑km = 165 000 / 150 000 = R1.10 per tonne‑km

Exam questions may additionally ask:

  • Minimum price per tonne‑km to earn a certain profit margin.
  • Effect on cost per tonne‑km if average load decreases or if km driven change (testing cost behaviour).

3. Overhead Allocation, Absorption and Activity‑Based Costing

Overhead accounting is central in CMA150S and higher‑level modules such as CPUT CMA260S or UNISA MAC2601. South African examiners frequently stress the mechanics and interpretation of overhead absorption, especially where multiple departments and cost drivers are involved.

3.1 Overhead Terminology and Concepts

Key terms:

  • Manufacturing overhead (factory overhead): Indirect production costs (indirect materials, indirect labour, factory rent, depreciation, etc.).
  • Cost pool: Grouping of similar overhead costs (e.g. machine‑related, set‑up costs).
  • Cost driver: Factor that causes overhead costs to be incurred (machine hours, setups, inspections).
  • Absorption costing: Method of costing that includes a share of manufacturing overhead in the cost of units produced.

In CMA150S, overhead absorption is often examined in:

  • Preparation of overhead distribution summaries.
  • Allocation, apportionment and re‑apportionment from service departments to production departments.
  • Calculation of departmental overhead absorption rates.

3.2 Allocation, Apportionment and Re‑Apportionment

3.2.1 Primary Distribution (Allocation and Apportionment)

Overhead costs initially recorded in the general ledger must be allocated/apportioned to production and service departments.

  • Allocation: When a cost can be clearly identified with a specific department (e.g. supervisor salary for Department A).
  • Apportionment: When a cost benefits several departments and must be split on a rational basis.

Typical bases:

  • Factory rent: Floor area (m²).
  • Power: Machine hours or kWh.
  • Canteen costs: Number of employees.
  • Depreciation: Asset value or machine hours.

Example of primary distribution:

Overhead item Total (R) Basis Dept A Dept B Service S1
Factory rent 60 000 Floor area 24 000 18 000 18 000
Power 40 000 Machine hours 28 000 8 000 4 000
Supervisor (S1) 30 000 Direct allocation 0 0 30 000
Total 130 000 52 000 26 000 52 000

3.2.2 Secondary Distribution (Re‑Apportionment of Service Departments)

Service department costs (e.g. maintenance, canteen, stores) are then re‑apportioned to production departments using either:

  • Direct method (ignores service‑to‑service services).
  • Step‑down (sequential) method (allocates the largest service first).
  • Reciprocal method (simultaneous equations).

CMA150S typically sticks to the direct or step‑down methods.

Example: Continuing from above, Service S1’s R52 000 is allocated 60% to Dept A and 40% to Dept B:

  • To Dept A: 52 000 × 60% = 31 200
  • To Dept B: 52 000 × 40% = 20 800

Final production department overheads:

  • Dept A: 52 000 + 31 200 = R83 200
  • Dept B: 26 000 + 20 800 = R46 800

Exams may require:

  • Preparation of an overhead distribution summary.
  • Showing the re‑apportionment step with clear workings.
  • Later calculation of overhead rates from these total departmental overheads.

3.3 Overhead Absorption Rates (OARs)

Once total overheads for each production department are known, they are absorbed into product costs using OARs.

Typical bases:

  • Department A (labour‑intensive): Direct labour hours (DLH).
  • Department B (machine‑intensive): Machine hours (MH).
  • Alternatively, as per some UNISA exam examples, percentage of direct labour cost.

Formula:

OAR = Budgeted departmental overhead / Budgeted activity level

Example using the totals from above:

Assume:

  • Dept A:
    • Overhead: R83 200
    • Direct labour hours: 10 400 DLH
  • Dept B:
    • Overhead: R46 800
    • Machine hours: 7 800 MH

Compute:

  • OAR (Dept A) = 83 200 / 10 400 = R8.00 per DLH
  • OAR (Dept B) = 46 800 / 7 800 = R6.00 per MH

Application to a job:

Job 501 uses:

  • Dept A: 50 DLH → 50 × 8 = R400
  • Dept B: 20 MH → 20 × 6 = R120

Total overhead charged to Job 501 = R520.

Exams often combine:

  • Calculation of OARs, then
  • Job costing to compute total job cost and selling price.

3.4 Over‑Absorption and Under‑Absorption of Overhead

Because OARs are based on budgeted figures, the overhead absorbed into products usually differs from actual overhead incurred.

  • If absorbed overhead > actual overheadover‑absorbed (credit balance).
  • If absorbed overhead < actual overheadunder‑absorbed (debit balance).

Example:

  • Actual overhead incurred: R1 000 000
  • Actual machine hours: 52 000
  • POHR used: R20 per MH
  • Applied overhead = 52 000 × 20 = R1 040 000
  • Over‑absorbed overhead = 1 040 000 – 1 000 000 = R40 000

Common exam tasks:

  • Show how to dispose of the variance (e.g., to Cost of Sales if immaterial).
  • Provide reasons for over‑ or under‑absorption, such as:
    • Change in production volume.
    • Inefficient use of overhead resources.
    • Incorrect budget estimates.

3.5 Introduction to Activity‑Based Costing (ABC)

Some CMA150S examinations, and especially follow‑on modules like CMA260S or UNISA MAC2602, introduce Activity‑Based Costing to address the shortcomings of traditional overhead allocation.

3.5.1 Rationale for ABC

Traditional costing systems may distort product costs when:

  • Overhead is a large proportion of total cost.
  • Overhead is driven by factors not captured by labour hours or machine hours alone.
  • Products differ substantially in complexity, batch size or support activities required.

ABC uses:

  • Activity cost pools (e.g. machine set‑ups, quality inspections, order processing).
  • Activity cost drivers (e.g. number of set‑ups, inspection hours, number of orders).

3.5.2 ABC Example

Assume overhead of R600 000 divided into three activities:

Activity Cost (R) Cost driver Total driver quantity
Machine set‑ups 200 000 Number of set‑ups 100 set‑ups
Quality inspections 250 000 Inspection hours 5 000 hours
Order processing 150 000 Number of orders 300 orders
Total 600 000

Two products: X and Y.

  • Product X:
    • 40 set‑ups, 2 000 inspection hours, 120 orders
  • Product Y:
    • 60 set‑ups, 3 000 inspection hours, 180 orders

Step 1: Activity cost driver rates:

  • Set‑up rate: 200 000 / 100 = R2 000 per set‑up
  • Inspection rate: 250 000 / 5 000 = R50 per inspection hour
  • Order processing rate: 150 000 / 300 = R500 per order

Step 2: Assign overhead to products:

  • Product X:

    • Set‑ups: 40 × 2 000 = 80 000
    • Inspections: 2 000 × 50 = 100 000
    • Orders: 120 × 500 = 60 000
    • Total overhead = R240 000
  • Product Y:

    • Set‑ups: 60 × 2 000 = 120 000
    • Inspections: 3 000 × 50 = 150 000
    • Orders: 180 × 500 = 90 000
    • Total overhead = R360 000

ABC typically shows that complex, low‑volume products (often Y‑type) consume disproportionate overhead relative to volume, leading to higher true cost per unit.

CMA150S exam questions on ABC often ask:

  • Compare overhead allocated under traditional single‑rate method vs ABC.
  • Comment on under‑costing or over‑costing of products.

4. Cost–Volume–Profit (CVP) Analysis and Break‑Even (CMA150S Core Calculations)

Cost–Volume–Profit analysis is central to CMA150S exam papers at CPUT and similar first‑year/second‑year modules like UNISA DSC1630 CVP section or CUT FMA15AB break‑even analysis. CVP explores how profit responds to changes in sales volume, selling price, variable cost and fixed cost.

4.1 Contribution and Contribution Margin

Contribution is defined as:

Contribution = Sales – Variable costs

Contribution margin per unit:

Contribution per unit = Selling price per unit – Variable cost per unit

Contribution margin ratio (C/S ratio):

C/S ratio = Contribution / Sales

Contribution first covers fixed costs; any surplus is profit.

Example:

  • Selling price per unit = R150
  • Variable cost per unit = R90
  • Contribution per unit = 150 – 90 = R60
  • C/S ratio = 60 / 150 = 40%

Fixed costs = R240 000 per year.

Profit at 8 000 units:

  • Total contribution = 8 000 × 60 = R480 000
  • Profit = 480 000 – 240 000 = R240 000

Most exam questions require:

  • Correct calculation of contribution and C/S ratio.
  • Use in break‑even and target profit calculations.

4.2 Break‑Even Point (BEP)

The break‑even point is the activity level where total revenue = total cost and profit = 0.

4.2.1 Break‑Even in Units

Formula:

Break‑even units = Fixed costs / Contribution per unit

Using the example:

  • BEP units = 240 000 / 60 = 4 000 units

4.2.2 Break‑Even in Rands (Sales Value)

Formula:

Break‑even sales (R) = Fixed costs / C/S ratio

Using the same example:

  • BEP sales = 240 000 / 0.40 = R600 000

Exam questions may ask for:

  • Break‑even units, break‑even sales and visual representation on a CVP graph.
  • Written discussion of the effect of selling price or cost changes on BEP.

4.3 Margin of Safety (MOS)

Margin of safety measures how much actual or budgeted sales can fall before the firm reaches break‑even.

Formula:

MOS (units) = Actual (or budgeted) sales units – BEP units
MOS (R) = Actual (or budgeted) sales – BEP sales
MOS (%) = MOS (R) / Actual (or budgeted) sales × 100

Example: If budgeted sales are 7 000 units:

  • MOS (units) = 7 000 – 4 000 = 3 000 units
  • MOS (R) = (7 000 × 150) – 600 000 = 1 050 000 – 600 000 = R450 000
  • MOS (%) = 450 000 / 1 050 000 × 100 ≈ 42.86%

In CMA150S, MOS is often tested in short theory questions, asking for interpretation such as:

  • “The business can sustain a 42.86% reduction in sales before incurring a loss.”

4.4 Target Profit and Multi‑Product CVP

4.4.1 Target Profit

To compute the sales volume required to earn a specified profit:

Required units = (Fixed costs + Target profit) / Contribution per unit

Example: To earn R300 000 profit:

  • Required units = (240 000 + 300 000) / 60 = 540 000 / 60 = 9 000 units

Exams often include such target‑profit questions (e.g., “How many units must be sold to earn R200 000 after tax, given a 30% tax rate?”). In after‑tax cases, convert to before‑tax profit first:

Before‑tax profit = After‑tax profit / (1 – tax rate)

4.4.2 Multi‑Product CVP and Sales Mix

When more than one product is sold, CMA150S often assumes a constant sales mix.

Steps:

  1. Calculate contribution per unit for each product.
  2. Determine a bundle representing the sales mix (e.g., 2 units of A for every 1 unit of B).
  3. Compute contribution per bundle.
  4. Use fixed costs divided by contribution per bundle to find break‑even bundles, then multiply to get individual product quantities.

Example:

  • Product A:
    • Selling price = R100
    • Variable cost = R60
    • Contribution = R40
  • Product B:
    • Selling price = R200
    • Variable cost = R120
    • Contribution = R80
  • Fixed costs = R360 000
  • Sales mix: 2 units of A : 1 unit of B (bundle of 3 units)

Contribution per bundle:

  • A: 2 × 40 = 80
  • B: 1 × 80 = 80
  • Bundle contribution = 80 + 80 = R160

Break‑even bundles:

  • 360 000 / 160 = 2 250 bundles

Break‑even units:

  • Product A: 2 250 × 2 = 4 500 units
  • Product B: 2 250 × 1 = 2 250 units

Exams at CPUT, CUT and UNISA often ask you to:

  • Compute break‑even sales in units and rands for each product.
  • Discuss the impact if the sales mix shifts towards the product with a higher or lower contribution margin.

4.5 Assumptions and Limitations of CVP Analysis

Theoretical questions (often 6–10 marks) may ask you to list and explain CVP assumptions and limitations.

Key assumptions:

  • Selling price per unit is constant.
  • Variable cost per unit is constant; total variable cost varies with activity.
  • Fixed costs are constant in total within the relevant range.
  • Production and sales volume are equal (no change in inventory).
  • In multi‑product settings, sales mix is constant.

Limitations:

  • Real‑world conditions often violate these assumptions.
  • Step‑fixed costs, quantity discounts and learning curve effects may distort linear relationships.
  • CVP typically focuses on short‑term decisions; long‑term capacity changes require more complex analysis.
  • Ignoring qualitative factors (market competition, capacity constraints, risk) can lead to poor conclusions.

CMA150S markers look for:

  • Clear linkage between each assumption and potential errors in decision‑making.
  • Examples that relate to typical South African businesses (e.g., seasonal tourism, variable utility tariffs).

5. Budgeting, Standard Costing and Exam Strategy for CMA150S (CPUT)

The final major block combines budgeting, an introduction to standard costing and variances, and practical exam strategy relevant to CPUT’s CMA150S and parallel modules such as UNISA DSC1630 budgets and CUT FMA15AB flexible budgets.

5.1 Purpose and Types of Budgets

Budgets are detailed, quantified plans for a future period, usually covering 12 months and broken down monthly or quarterly.

Objectives of budgeting:

  • Planning: Set operational and financial targets.
  • Coordination: Align departments and secure necessary resources.
  • Control: Compare actual results with budget; analyse and correct deviations.
  • Communication and motivation: Communicate expectations to managers and staff.
  • Performance evaluation: Serve as a benchmark for measuring efficiency.

Types of budgets typically examined in CMA150S:

  • Sales budget
  • Production budget
  • Direct materials usage and purchases budgets
  • Direct labour budget
  • Manufacturing overhead budget
  • Selling and administrative expense budget
  • Cash budget

Students familiar with UNISA DSC1630 will recognize similar structures, though CPUT exam scenarios often emphasise fewer periods (e.g. quarterly) and integrate inventory policy into production planning.

5.2 Sales and Production Budgets

5.2.1 Sales Budget

The sales budget specifies expected sales volume and revenue.

Example (quarterly):

Quarter Units Selling price per unit (R) Sales revenue (R)
Q1 4 000 150 600 000
Q2 5 000 150 750 000
Q3 6 000 150 900 000
Q4 5 500 150 825 000
Total 20 500 3 075 000

Exams may ask you to:

  • Prepare a sales budget from forecasts and price changes.
  • Adjust for sales returns or discounts.

5.2.2 Production Budget

Production is planned based on:

Budgeted production units = Budgeted sales units + Desired closing inventory – Opening inventory

Example (annual, broken into quarters):

  • Policy: Ending inventory = 25% of next quarter’s sales.
  • Q1 sales = 4 000 units; Q2 = 5 000; Q3 = 6 000; Q4 = 5 500.
  • Assume opening inventory on 1 Jan = 1 000 units.

Compute required production:

  1. Q1:

    • Desired closing inventory = 25% of Q2 sales = 0.25 × 5 000 = 1 250
    • Production = Sales + Closing – Opening = 4 000 + 1 250 – 1 000 = 4 250 units
  2. Q2:

    • Desired closing inventory = 25% of Q3 sales = 0.25 × 6 000 = 1 500
    • Production = 5 000 + 1 500 – 1 250 = 5 250 units
  3. Q3:

    • Desired closing inventory = 25% of Q4 sales = 0.25 × 5 500 = 1 375
    • Production = 6 000 + 1 375 – 1 500 = 5 875 units
  4. Q4:

    • Desired closing inventory = 25% of next quarter’s sales. If none given, many exams assume next quarter’s sales equal Q1 next year; if not provided, assume no closing inventory policy beyond Q4 or follow exam instructions. Suppose policy continues and Q1 next year is forecast 4 500 units:
    • Desired closing inventory = 0.25 × 4 500 = 1 125
    • Production = 5 500 + 1 125 – 1 375 = 5 250 units

CMA150S exam questions typically focus on one or two periods, but the logic remains the same.

5.3 Direct Materials, Direct Labour and Overhead Budgets

5.3.1 Direct Materials Usage and Purchases Budgets

Usage budget:

Materials required for production = Units to produce × Material per unit

Purchases budget:

Purchases = Materials required for production + Desired closing inventory – Opening inventory

Example:

  • Material requirement = 3 kg per unit.
  • Price = R20 per kg.
  • Q1 production = 4 250 units (from earlier).
  • Opening material inventory = 5 000 kg; desired closing inventory = 6 000 kg.

Compute:

  • Usage (kg) = 4 250 × 3 = 12 750 kg
  • Purchases (kg) = 12 750 + 6 000 – 5 000 = 13 750 kg
  • Purchases (R) = 13 750 × 20 = R275 000

Exams may add:

  • Cash vs credit purchases split for the cash budget.
  • Price changes mid‑year.

5.3.2 Direct Labour Budget

Labour budget determines labour hours and cost:

Total labour hours = Units to produce × Hours per unit
Labour cost = Total labour hours × Wage rate per hour

Example:

  • Time per unit: 2 hours.

  • Wage rate: R60 per hour.

  • Q1 production: 4 250 units.

  • Total hours = 4 250 × 2 = 8 500 hours

  • Labour cost = 8 500 × 60 = R510 000

Exam variations include:

  • Different skill categories with separate wage rates.
  • Overtime premiums if hours exceed normal capacity.

5.3.3 Manufacturing Overhead Budget

Overhead budget is often split into variable and fixed:

Example:

  • Variable overhead rate: R15 per direct labour hour.
  • Fixed overheads: R300 000 per quarter.

For Q1 (8 500 DLH):

  • Variable overhead = 8 500 × 15 = 127 500
  • Fixed overhead = 300 000
  • Total MOH = R427 500

Students may also be required to derive a budgeted overhead absorption rate, for example using budgeted annual overhead and budgeted annual activity.

5.4 Cash Budget

The cash budget is a crucial control tool and a frequent CMA150S exam topic. It summarises expected cash inflows and outflows for each period.

Typical structure:

  1. Opening cash balance
  2. Add: Cash receipts
    • Cash sales
    • Collections from debtors (credit sales)
    • Other income (interest, asset sales)
  3. Less: Cash payments
    • Cash purchases
    • Payments to creditors for prior credit purchases
    • Wages and salaries
    • Overheads (cash portion)
    • Capital expenditure (new machinery)
    • Tax and dividends
  4. Closing cash balance (which becomes next period’s opening balance).

Example (condensed single month):

  • Opening balance: R50 000
  • Cash sales: R100 000
  • Collections from debtors: R200 000
  • Total retrievable cash: 50 000 + 100 000 + 200 000 = 350 000

Payments:

  • Cash purchases: R80 000
  • Payment to creditors: R90 000
  • Wages: R70 000
  • Overheads (cash): R30 000
  • Machinery purchase: R50 000
  • Total payments: 80 000 + 90 000 + 70 000 + 30 000 + 50 000 = R320 000

Closing cash balance:

  • 350 000 – 320 000 = R30 000

CMA150S exam questions often complicate this with:

  • Different credit terms for customers and suppliers (e.g., 60% of sales on credit; debtors pay in the following month).
  • Non‑cash items (depreciation) to be excluded from cash budgets.
  • Overdrafts and minimum cash balances.

Students must set out cash budgets clearly across columns for each month or quarter.

5.5 Introduction to Standard Costing and Variance Analysis

While full variance analysis is often developed in second‑year modules (e.g., CPUT CMA260S, UNISA MAC2601), CMA150S may introduce standard costing.

Standard cost: Predetermined cost per unit (or per input unit) under efficient conditions, used as a benchmark.

Benefits:

  • Facilitates budgeting and planning.
  • Simplifies inventory valuation.
  • Highlights variances for management attention.
  • Supports performance evaluation.

Basic variances examined:

  • Material price variance
  • Material usage (quantity) variance
  • Labour rate variance
  • Labour efficiency variance

5.5.1 Material Variances

Let:

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

Material price variance (MPV):

MPV = (SP – AP) × AQ

Material usage variance (MUV):

MUV = (SQ – AQ) × SP

Total material cost variance:

Total = MPV + MUV

Example:

  • SP = R5 per kg
  • Standard usage = 4 kg per finished unit
  • Actual output = 1 000 finished units
  • SQ = 4 × 1 000 = 4 000 kg
  • AP = R4.80 per kg
  • AQ = 4 200 kg

Compute:

  • MPV = (5 – 4.80) × 4 200 = 0.20 × 4 200 = R840 Favourable
  • MUV = (4 000 – 4 200) × 5 = (–200) × 5 = R1 000 Adverse
  • Total variance = 840 F – 1 000 A = R160 Adverse

Exam notes:

  • Label variances clearly as F (Favourable) or A (Adverse).
  • Provide brief reasons for variances in theoretical questions (e.g., cheaper‑than‑standard materials, wastage, machine breakdowns).

5.5.2 Labour Variances

Let:

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

Labour rate variance (LRV):

LRV = (SR – AR) × AH

Labour efficiency variance (LEV):

LEV = (SH – AH) × SR

Total labour cost variance:

Total = LRV + LEV

Example:

  • SR = R50 per hour
  • Standard time per unit = 3 hours
  • Actual output = 600 units
  • SH = 3 × 600 = 1 800 hours
  • AR = R52 per hour
  • AH = 1 900 hours

Compute:

  • LRV = (50 – 52) × 1 900 = (–2) × 1 900 = R3 800 Adverse
  • LEV = (1 800 – 1 900) × 50 = (–100) × 50 = R5 000 Adverse
  • Total variance = 3 800 A + 5 000 A = R8 800 Adverse

Short discussion in exams might ask:

  • Causes of adverse labour rate variance: wage rate increases, higher skilled labour, overtime premiums.
  • Causes of adverse efficiency variance: poor supervision, machine downtime, low worker motivation.

5.6 CMA150S Exam Strategy and Study Approach (CPUT Context)

CPUT’s CMA150S: Cost Management Accounting I outcomes are aligned with the National Diploma in Accounting and broadly consistent with other South African university modules such as UNISA DSC1630, CUT FMA15AB, and CPUT’s own Financial Accounting modules. Successful students usually integrate conceptual understanding, layout practice, and time management.

5.6.1 Key Topic Coverage Checklist

Use this to ensure comprehensive preparation:

  1. Foundational concepts

    • Purpose and scope of cost and management accounting.
    • Direct vs indirect costs; product vs period costs.
    • Variable, fixed, semi‑variable costs; high‑low method.
    • Relevant vs irrelevant costs for decisions.
  2. Costing methods

    • Job order costing and job cost sheets.
    • Predetermined overhead rates; over/under‑absorption.
    • Process costing (single and multi‑process).
    • Normal and abnormal losses/gains.
    • Equivalent units and weighted average method.
    • Basic service/operating costing.
  3. Overhead accounting

    • Primary and secondary distribution of overhead.
    • Allocation, apportionment and re‑apportionment.
    • Departmental overhead absorption rates.
    • Short introduction to activity‑based costing.
  4. CVP and short‑term decisions

    • Contribution, break‑even points (units and rands).
    • Margin of safety; target profit.
    • Multi‑product CVP and constant sales mix.
    • Assumptions and limitations of CVP.
  5. Budgeting and control

    • Sales, production and inventory policies.
    • Materials, labour and overhead budgets.
    • Cash budgets, treatment of credit terms and non‑cash items.
    • Basic standard costing and material/labour variances.

CPUT students can cross‑reference this checklist with module outcomes in the CMA150S learner guide and, where relevant, with similar sub‑topics in UNISA’s DSC1630 Cost Accounting and Central University of Technology’s FMA15AB Financial and Management Accounting.

5.6.2 Working with Past Papers and Tutorials

Effective use of past papers is a distinguishing factor between average and top‑performing students:

  • Attempt at least 3–5 full past exam papers under timed conditions.

  • After each attempt:

    • Mark using the official solutions if available.
    • Identify which question types (e.g., process costing, cash budgets, CVP) consistently cause difficulty.
    • Re‑study those areas and re‑attempt similar problems.
  • Common CMA150S exam patterns:

    • One major question (30–40 marks) on process costing or job costing.
    • One integrated question combining budgets and cash budgets.
    • One question on CVP and break‑even analysis.
    • Several shorter theory and calculations on concepts, overhead distribution, or simple variances.

Students from other South African universities (e.g., UNISA DSC1630, CUT FMA15AB, DUT CMA101) will see similar patterns but with minor differences in emphasis and notation.

5.6.3 Time Management and Answer Layout

Time pressure is a major exam challenge. Adopt the following:

  • Scan the paper and allocate time proportionally to marks (e.g., 1 minute per mark, leaving 10–15 minutes for review).
  • Start with your strongest big‑mark question to secure easy marks early.
  • For calculation questions:
    • Clearly label each part (a), (b), (c) as per instructions.
    • Use headings, sub‑totals and underlining to make workings easy to follow.
    • Show all steps; CPUT and UNISA markers award method marks even if the final answer is wrong.

Example layout for a process account:

Process A Account for March

Dr                               | Cr

Units      R                     | Units      R
Opening WIP xx   xx              | Normal loss xx  xx
Materials  xx   xx               | Abnormal loss xx xx
Labour     xx   xx               | Transfer to Process B xx  xx
Overheads  xx   xx               | Closing WIP xx  xx

Total      xx   xx               | Total      xx  xx
  • Label normal loss, abnormal loss, closing WIP clearly.
  • State any assumptions (e.g., “No opening WIP”).

5.6.4 Conceptual Understanding vs Rote Memorisation

Many CMA150S students, and also those in similar modules like UNISA DSC1630 and CUT FMA15AB, fall into the trap of memorising formulas without understanding.

Improve conceptual grasp by:

  • Explaining concepts in your own words (e.g., “Contribution is the amount left after variable costs to cover fixed costs and profit”).
  • Teaching a peer or summarising topics verbally.
  • Relating examples to real South African businesses (e.g., how a taxi operator would use service costing, how a retailer might use CVP for pricing).

5.6.5 Common Errors to Avoid (CPUT CMA150S, UNISA DSC1630, CUT FMA15AB)

  • Mixing up product vs period costs in inventory valuation and profit calculation.
  • Classifying costs incorrectly as fixed or variable, leading to wrong CVP answers.
  • Ignoring normal loss when calculating cost per unit in process costing.
  • Forgetting to subtract scrap value of normal loss from total process costs.
  • Using actual output instead of standard hours/quantities when computing variances.
  • Double‑counting elements in cash budgets (e.g., including depreciation as a cash payment).
  • Failing to adjust for opening and closing inventories in production or materials budgets.

Building awareness of these pitfalls and practising systematically can significantly raise your CMA150S mark.

This exam pack serves as a detailed, integrated guide to the key topics and question types tested in CMA150S: Cost Management Accounting I within the Cape Peninsula University of Technology (CPUT) National Diploma in Accounting. When used alongside official study materials, tutorial letters, and past papers, it supports thorough preparation not only for CPUT students but also for those taking comparable modules such as UNISA DSC1630 Cost Accounting and CUT FMA15AB Financial and Management Accounting.

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