interpret a break-even chart

Cambridge IGCSE Business Studies (0450) – Lecture Notes

1 Understanding Business Activity

Key concepts

  • Purpose of business – to satisfy human needs and wants by producing goods or services.
  • Needs vs. wants – needs are essential for survival; wants are desires that go beyond basic needs.
  • Classification of businesses
    • Primary (extraction), secondary (manufacturing), tertiary (services).
    • Private (sole trader, partnership, limited company) vs. public sector.
  • Enterprise & growth – entrepreneurship, start‑ups, organic growth, mergers & acquisitions.
  • Business objectives – profit, growth, market share, survival, social & ethical aims.
  • Stakeholder objectives – shareholders, employees, customers, suppliers, community, government.

AO focus

  • AO1 – define terminology and describe the purpose of business.
  • AO2 – explain how different objectives influence decision‑making.
  • AO3 – analyse the impact of stakeholder objectives on a real business.
  • AO4 – evaluate the advantages and disadvantages of a chosen business objective.

Typical exam question

“Explain why a business might adopt both profit‑maximising and social‑responsibility objectives.”


2 People in Business

Motivation

  • Maslow’s hierarchy of needs (physiological → self‑actualisation).
  • Herzberg’s two‑factor theory – hygiene factors vs. motivators.
  • Financial (salary, bonuses) and non‑financial (recognition, career development) rewards.

Organisational structure

  • Flat vs. tall hierarchy.
  • Functional, divisional and matrix structures.
  • Advantages and disadvantages of each.

Management functions & leadership styles

  • Planning, organising, leading, controlling.
  • Autocratic, democratic, laissez‑faire – impact on employee morale and productivity.

Recruitment, training & development

  • Internal vs. external recruitment; selection methods (interview, assessment centre, psychometric test).
  • Induction, on‑the‑job training, apprenticeships, CPD.

Trade unions & employee relations

  • Purpose of trade unions, collective bargaining, industrial action.
  • Strategies for good employee relations (communication, fair pay, health & safety).

Communication

  • Formal vs. informal channels; vertical, horizontal, diagonal communication.
  • Barriers to effective communication and ways to overcome them.

AO focus

  • AO1 – state and explain key motivational theories.
  • AO2 – apply a suitable organisational structure to a given business scenario.
  • AO3 – analyse the effect of a change in leadership style on staff performance.
  • AO4 – evaluate the benefits and drawbacks of using trade unions in a modern workplace.

Typical exam question

“A small retail chain wants to improve staff motivation. Recommend two motivational techniques and justify your choices.”


3 Marketing

The marketing mix (4 Ps)

ProductPricePlacePromotion
Design, quality, brand, warranty, after‑sales service. Pricing objectives, discounts, credit terms. Distribution channels, logistics, location of outlets. Advertising, sales‑promotion, public relations, personal selling.

Market research & segmentation

  • Primary (questionnaires, interviews) and secondary (published data) research.
  • Segmentation criteria – demographic, geographic, psychographic, behavioural.
  • Niche vs. mass marketing – when each is appropriate.

Pricing methods

  • Cost‑plus, target‑return, competition‑based, psychological pricing.
  • Impact of price elasticity of demand.

Promotion & e‑commerce

  • Online advertising, social media, email marketing, SEO.
  • Legal & ethical issues – misleading advertising, data protection.

AO focus

  • AO1 – define the 4 Ps and give examples.
  • AO2 – use market‑research data to recommend a target market.
  • AO3 – analyse how a change in price would affect sales and profit.
  • AO4 – evaluate the advantages and disadvantages of using digital promotion for a start‑up.

Typical exam question

“A company is launching a new sports drink. Using the marketing mix, suggest how it could position the product in a competitive market.”


4 Operations Management

Production methods

  • Job production – one‑off, custom items (e.g., bespoke furniture).
  • Batch production – groups of identical items (e.g., bakery loaves).
  • Flow (mass) production – continuous, high‑volume output (e.g., car assembly).

Productivity

Productivity = Output ÷ Input. Ways to improve: training, better equipment, process redesign.

Lean production & quality

  • Eliminate waste (over‑production, waiting, transport, excess inventory, motion, defects, over‑processing, unused talent).
  • Quality control (inspection, statistical process control) vs. quality assurance (systems such as ISO 9001).

Location decisions

  • Factors – transport costs, labour availability, market proximity, government incentives, environmental impact.
  • Methods – break‑even location analysis, factor‑rating, cost‑benefit analysis.

Break‑even analysis (core)

Key concepts
  • Fixed costs (FC) – do not vary with output (rent, salaries).
  • Variable cost per unit (VC) – varies directly with each unit (materials, direct labour).
  • Total cost (TC) – \(TC = FC + VC \times Q\).
  • Price per unit (P) – selling price.
  • Total revenue (TR) – \(TR = P \times Q\).
  • Break‑even point (BEP) – where \(TR = TC\).
  • Margin of safety (MOS) – difference between expected sales and BEP.
Core formula
\[ \text{BEP (units)} = \frac{FC}{P-VC} \]
Constructing a simple break‑even chart (single‑product)
  1. Horizontal axis = output (units); vertical axis = cost / revenue (£).
  2. Draw a horizontal line at the level of FC (fixed‑cost line).
  3. From the point (0, FC) draw the total‑cost line with slope = VC.
  4. From the origin (0, 0) draw the total‑revenue line with slope = P.
  5. The intersection of the TC and TR lines is the BEP.
  6. Shade the area above TR and below TC (loss) to the left of BEP; shade the area above TC and below TR (profit) to the right.
Worked example (core)

FC = £20 000, VC = £5 per unit, P = £12 per unit.

Units (Q)Total Cost (TC) £Total Revenue (TR) £
020 0000
2 80034 00033 600
2 90034 50034 800

Calculate BEP:

\[ \text{BEP}= \frac{20\,000}{12-5}=2\,857\text{ units (≈ £34 284 revenue)} \]
Target‑profit calculation
\[ Q_{\text{target}} = \frac{FC + \text{Target profit}}{P-VC} \]

For a desired profit of £15 000:

\[ Q_{\text{target}} = \frac{20\,000+15\,000}{12-5}=5\,000\text{ units} \]
Margin of safety
\[ \text{MOS}_{\text{units}} = Q_{\text{actual}} - \text{BEP} \qquad \text{MOS}_{\%}= \frac{\text{MOS}_{\text{units}}}{Q_{\text{actual}}}\times100 \]
Limitations (AO4 – evaluation)
  • Assumes a single product or fixed product mix.
  • Price (P) and variable cost (VC) are treated as constant.
  • All output is sold – no inventory build‑up or stock‑outs.
  • Fixed costs are truly fixed; economies of scale and bulk discounts are ignored.
  • Market demand fluctuations are not reflected.
Typical exam questions
  • “How would a £2 increase in selling price affect the BEP and profit area?”
  • “Calculate the margin of safety if the business expects to sell 6 000 units.”
  • “Explain two limitations of break‑even analysis.”
Extension (optional for higher‑ability students)
  • Interpolation technique to locate BEP between two data points.
  • Sensitivity analysis – show how changes in FC, VC or P shift the chart.
  • Multi‑product break‑even (weighted‑average contribution margin).

AO focus for operations

  • AO1 – describe different production methods and why a business chooses one.
  • AO2 – calculate BEP, target profit and margin of safety using the given formulas.
  • AO3 – analyse the impact of a change in fixed costs on profitability.
  • AO4 – evaluate the usefulness and limitations of break‑even analysis for decision‑making.

5 Financial Information and Decisions

Sources of finance

InternalExternal
Retained earnings, sale of assets, owner’s capital. Bank loans, overdrafts, hire‑purchase, leasing, equity finance (shares), venture capital, government grants.

Cash‑flow forecasting

  • Cash inflows – sales receipts, loan proceeds, asset sales.
  • Cash outflows – purchases, wages, rent, interest, tax.
  • Simple forecast table (month‑by‑month) to identify surplus or deficit.

Working capital

Working capital = Current assets – Current liabilities. Adequate working capital ensures smooth day‑to‑day operations.

Income statement (profit & loss account)

ItemExplanation
Sales (revenue)Total amount earned from customers.
Cost of goods sold (COGS)Direct costs of producing the goods sold.
Gross profitSales – COGS.
Operating expensesAdmin, marketing, depreciation.
Operating profitGross profit – operating expenses.
Interest & taxFinance costs and statutory tax.
Net profitFinal profit after all deductions.

Statement of financial position (balance sheet)

  • Assets – current (cash, stock) and non‑current (plant, buildings).
  • Liabilities – current (payables, short‑term loans) and non‑current (long‑term debt).
  • Owner’s equity – capital + retained earnings.

Key ratios

CategoryRatioFormulaInterpretation
ProfitabilityGross profit margin\(\frac{\text{Gross profit}}{\text{Sales}}\times100\)Higher = more efficient production.
Net profit margin\(\frac{\text{Net profit}}{\text{Sales}}\times100\)Overall profitability.
LiquidityCurrent ratio\(\frac{\text{Current assets}}{\text{Current liabilities}}\)Ability to meet short‑term obligations.
Quick ratio\(\frac{\text{Current assets – Stock}}{\text{Current liabilities}}\)Liquidity without relying on inventory.
EfficiencyInventory turnover\(\frac{\text{COGS}}{\text{Average stock}}\)How quickly stock is sold.

Analysis of accounts (AO3)

  • Identify trends – rising costs, falling profit margins.
  • Compare ratios with industry benchmarks.
  • Link financial data to business decisions (e.g., price changes, cost‑cutting).

AO focus

  • AO1 – name the main sources of finance and the purpose of a cash‑flow forecast.
  • AO2 – prepare a simple income statement and calculate two profitability ratios.
  • AO3 – analyse a set of accounts to comment on the financial health of a business.
  • AO4 – evaluate the suitability of different financing options for a start‑up.

Typical exam question

“A company’s income statement shows sales of £120 000 and COGS of £72 000. Calculate the gross profit margin and comment on what it reveals about the business.”


6 External Influences on Business Activity

Economic environment

  • Economic cycles – expansion, peak, recession, trough.
  • Inflation, deflation and their impact on costs and pricing.
  • Unemployment levels affecting labour supply and consumer demand.

Government policy

  • Fiscal policy – taxation and public spending.
  • Monetary policy – interest rates, credit controls.
  • Regulation – health & safety, consumer protection, environmental legislation.

Environmental & ethical issues

  • Sustainability, carbon footprints, recycling.
  • Corporate social responsibility (CSR) – ethical sourcing, fair trade.

Globalisation

  • International trade – imports, exports, tariffs, quotas.
  • Multinational enterprises (MNEs) – benefits (economies of scale) and challenges (cultural differences).
  • Exchange rates – impact on import costs and export revenue.

Legal constraints

  • Company law, employment law, intellectual property rights.
  • Consequences of non‑compliance – fines, reputational damage.

AO focus

  • AO1 – describe two ways in which government policy can affect a business.
  • AO2 – apply the concept of exchange‑rate fluctuation to a UK exporter.
  • AO3 – analyse how a recession might influence a retailer’s marketing strategy.
  • AO4 – evaluate the importance of CSR for a multinational clothing brand.

Typical exam question

“Explain how a rise in interest rates could affect both the borrowing costs and consumer demand for a new car.”


Break‑even Analysis – Quick Reference Checklist (for the exam)

  • State the definition and write the core formula \(\displaystyle \frac{FC}{P-VC}\).
  • Identify the three lines on the chart – fixed‑cost, total‑cost, total‑revenue – and label the BEP.
  • Read profit or loss by comparing the vertical positions of TR and TC at the required output.
  • Calculate margin of safety (units and %).
  • Show how a change in FC, VC or P moves the relevant line and affects the BEP.
  • Use the target‑profit formula when asked for a specific profit level.
  • Mention at least two limitations of the break‑even model (AO4).

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