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Costs and Break-even Analysis » Fixed and Variable Costs

What you'll learn this session

Study time: 30 minutes

  • Understand the difference between fixed and variable costs
  • Learn how to calculate total costs and break-even points
  • Explore real business examples of cost structures
  • Analyse how costs affect business decisions and profitability
  • Apply break-even analysis to solve business problems

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Introduction to Fixed and Variable Costs

Every business has costs - money they must spend to operate. Understanding these costs is crucial for making smart business decisions. Some costs stay the same no matter how much you produce, whilst others change based on your output. This is the foundation of cost analysis and helps businesses work out their break-even point - the magic number where they stop losing money and start making profit!

Key Definitions:

  • Fixed Costs: Expenses that remain constant regardless of production levels or sales volume.
  • Variable Costs: Expenses that change in direct proportion to production levels or sales volume.
  • Total Costs: Fixed costs plus variable costs combined.
  • Break-even Point: The level of sales where total revenue equals total costs, resulting in neither profit nor loss.

💰 Fixed Costs Explained

Fixed costs are like your monthly phone contract - you pay the same amount whether you make 10 calls or 100 calls. For businesses, these include rent, insurance, salaries of permanent staff and loan repayments. They're called 'fixed' because they don't change with production levels.

📈 Variable Costs Explained

Variable costs are like buying ingredients for a cake - the more cakes you bake, the more flour, eggs and sugar you need. In business, these include raw materials, packaging, delivery costs and commission payments. They rise and fall with production.

Understanding Cost Behaviour

To run a successful business, you need to understand how costs behave. This knowledge helps you price products correctly, plan for growth and make important decisions about production levels.

Examples of Fixed and Variable Costs

Let's look at a pizza restaurant to understand cost behaviour better:

🏠 Fixed Costs

• Rent for the restaurant
• Insurance premiums
• Manager's salary
• Equipment lease payments
• Business rates

🍕 Variable Costs

• Pizza ingredients (dough, cheese, toppings)
• Packaging boxes
• Delivery fuel costs
• Part-time staff wages
• Electricity for ovens

📊 Cost Calculation

If fixed costs = £2,000/month
Variable cost per pizza = £3
For 500 pizzas:
Total costs = £2,000 + (500 × £3) = £3,500

Case Study Focus: StartUp Smoothie Bar

Emma opens a smoothie bar. Her fixed costs include £800 monthly rent, £200 insurance and £1,000 for her own salary (total: £2,000). Variable costs per smoothie are £2 (fruit, cups, electricity). If she sells smoothies for £5 each, she needs to sell 667 smoothies monthly to break even (£2,000 ÷ £3 contribution per smoothie).

Break-even Analysis

Break-even analysis is a powerful tool that shows exactly how many products you need to sell to cover all your costs. It's the point where your business stops losing money and starts making profit.

The Break-even Formula

The basic break-even formula is surprisingly simple:

💡 Break-even Point Formula

Break-even Point (units) = Fixed Costs ÷ (Selling Price per unit - Variable Cost per unit)

The difference between selling price and variable cost is called the contribution per unit - this is how much each sale contributes towards covering fixed costs.

Practical Applications

Understanding costs and break-even analysis helps businesses make crucial decisions about pricing, production levels and growth strategies.

💳 Pricing Decisions

Businesses use cost analysis to set prices that ensure profitability. They must cover variable costs and contribute towards fixed costs. Understanding the break-even point helps determine minimum pricing levels.

🔧 Production Planning

Companies use break-even analysis to plan production levels, decide whether to accept special orders and evaluate the impact of changing costs or prices on profitability.

Real-World Example: Tech Startup

Consider a mobile app development company:

💻 Monthly Fixed Costs

• Office rent: £1,500
• Software licences: £500
• Developer salaries: £8,000
Total: £10,000

📱 Variable Costs per App

• App store fees: £25
• Marketing per app: £75
• Support costs: £50
Total: £150

💰 Break-even Calculation

Selling price: £1,000 per app
Contribution: £1,000 - £150 = £850
Break-even: £10,000 ÷ £850 = 12 apps per month

Case Study Focus: Manufacturing Business

TechWidgets Ltd manufactures smartphone accessories. Fixed costs are £50,000 monthly (factory rent, machinery, permanent staff). Variable costs per unit are £8 (materials, packaging, commission). They sell each unit for £20. Break-even point: £50,000 ÷ (£20 - £8) = 4,167 units monthly. Any sales above this generate profit of £12 per unit.

Factors Affecting Break-even Analysis

Several factors can change a business's break-even point and understanding these helps managers make better decisions.

What Changes the Break-even Point?

📈 Factors That Increase Break-even

• Higher fixed costs (bigger premises, more staff)
• Higher variable costs (expensive materials)
• Lower selling prices (competitive pressure)
• Economic downturns affecting demand

📉 Factors That Decrease Break-even

• Lower fixed costs (cheaper premises, automation)
• Lower variable costs (bulk buying, efficiency)
• Higher selling prices (premium positioning)
• Improved productivity and processes

Limitations and Considerations

Whilst break-even analysis is incredibly useful, it's important to understand its limitations and use it alongside other business planning tools.

Important Limitations

Break-even analysis assumes that costs can be clearly divided into fixed and variable categories, that selling prices remain constant and that all units produced are sold. In reality, some costs are semi-variable, prices may change with volume and businesses may hold stock. Despite these limitations, it remains a valuable planning tool when used wisely.

Using Break-even Analysis Effectively

Smart businesses use break-even analysis as part of a broader planning approach:

📊 Short-term Planning

Set minimum sales targets, evaluate special offers and make quick pricing decisions for immediate profitability.

📈 Long-term Strategy

Plan capacity expansion, evaluate new product lines and assess the impact of strategic changes on profitability.

💡 Risk Management

Understand minimum performance levels, plan for economic downturns and identify cost reduction opportunities.

Case Study Focus: Service Business

CleanPro offers office cleaning services. Fixed costs include £3,000 monthly (van lease, insurance, base salary). Variable costs per office cleaned are £15 (supplies, fuel, bonus payments). They charge £45 per office clean. Break-even: £3,000 ÷ (£45 - £15) = 100 office cleans monthly. This helps them set realistic targets and plan growth.

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