Costs, scale of production and break-even analysis

Identifying and Classifying Costs

A cost is an expense incurred by a business when producing goods or services.

Businesses need to understand their costs because costs affect:

→ Selling price
→ Profit
→ Production decisions
→ Choice of suppliers
→ Whether to continue producing a product

Fixed Costs

Fixed costs are costs that do not change when the level of output changes, within a given production capacity.

Examples:

→ Rent
→ Insurance
→ Salaries of some employees
→ Business rates
→ Depreciation of machinery

Example:

A factory pays $10,000 rent each month.

→ 1,000 units produced → $10,000 rent
→ 2,000 units produced → $10,000 rent
→ 3,000 units produced → $10,000 rent

The rent remains the same.

Variable Costs

Variable costs change as the level of output changes.

Examples:

→ Raw materials
→ Packaging
→ Components
→ Energy used directly in production
→ Sales commission

Example:

If raw material costs $5 per unit:

→ 100 units → $500
→ 200 units → $1,000
→ 500 units → $2,500

As output increases, total variable cost increases.

Total Cost

Total cost is the total amount spent by a business on production.

Formula:

Total cost = Fixed costs + Total variable costs

Example

A business has:

→ Fixed costs = $20,000
→ Variable cost = $8 per unit
→ Output = 2,000 units

Total variable cost:

→ $8 × 2,000 = $16,000

Therefore:

→ Total cost = $20,000 + $16,000
→ Total cost = $36,000

Average Cost

Average cost is the cost of producing each unit.

Formula:

Average cost = Total cost ÷ Output

Example

→ Total cost = $36,000
→ Output = 2,000 units

Average cost:

→ $36,000 ÷ 2,000
→ $18 per unit

Comparing the Main Costs

CostMeaningExample
Fixed costDoes not change with outputRent
Variable costChanges with outputRaw materials
Total costFixed cost + total variable costAll production costs
Average costCost per unitTotal cost ÷ output

Using Cost Data to Make Decisions

Which Product to Produce

Suppose a business can produce either Product A or Product B.

Product AProduct B
Selling price$30$35
Variable cost$18$20
Contribution per unit$12$15

→ Product A contribution = $30 − $18 = $12

→ Product B contribution = $35 − $20 = $15

If production capacity is limited, Product B may be considered because each unit contributes more towards fixed costs and profit.

However, the business should also consider:

→ Demand for each product
→ Production capacity
→ Quality
→ Competition
→ Total profit rather than contribution per unit alone

Whether to Continue or Stop Production

A business may compare the revenue generated by a product with its variable costs and avoidable fixed costs.

If a product is making an overall loss, the business should not automatically stop production.

It should consider:

→ Are variable costs covered?
→ Does the product contribute towards fixed costs?
→ Which fixed costs would disappear if production stopped?
→ Is demand likely to increase?
→ Does the product help sell other products?

Example:

A product sells for $20 and has a variable cost of $12.

→ Contribution = $20 − $12
→ $8 per unit

Although the product may make an overall loss because of fixed costs, each unit contributes $8 towards those fixed costs.

Deciding What Price to Set

Cost information helps businesses avoid setting a price that is too low.

For example:

→ Average cost = $25
→ Selling price = $30
→ Profit per unit = $5

However, price should not be based only on cost.

The business should also consider:

→ Competitors’ prices
→ Customer demand
→ Brand image
→ Product quality
→ Pricing strategy

Choosing Suppliers

Businesses can compare suppliers based on:

→ Price
→ Quality
→ Delivery costs
→ Reliability
→ Payment terms

A supplier with the lowest price is not necessarily the best choice.

Example:

Supplier A:

→ $10 per unit
→ Reliable delivery

Supplier B:

→ $8 per unit
→ Frequent delivery delays

The business may choose Supplier A if delays could stop production and cause lost sales.


Economies and Diseconomies of Scale

Economies of scale occur when the average cost per unit falls as a business increases its scale of production.

As a business grows:

→ Production increases
→ Resources may be used more efficiently
→ Average cost may fall

Purchasing Economies of Scale

Large businesses can buy raw materials in large quantities.

→ Bulk-buying discounts
→ Lower cost per unit
→ Lower average cost

Example:

A large supermarket chain may negotiate lower prices because it purchases thousands of units from suppliers.

Marketing Economies of Scale

Large businesses can spread advertising costs over a larger number of products.

Example:

A $1 million advertising campaign costs:

→ $10 per unit if 100,000 units are sold
→ $1 per unit if 1 million units are sold

Therefore, advertising cost per unit falls as output increases.

Financial Economies of Scale

Large businesses may find it easier to obtain finance and may receive loans at lower interest rates.

→ Large businesses may be considered less risky by lenders
→ Lower interest rates reduce finance costs
→ Average costs can fall

Managerial Economies of Scale

Large businesses can employ specialist managers.

Examples:

→ Finance manager
→ Marketing manager
→ Human resources manager
→ Production manager

Specialisation can:

→ Improve decision-making
→ Increase efficiency
→ Reduce average costs

Technical Economies of Scale

Large businesses can afford expensive machinery and technology.

→ Greater automation
→ Higher productivity
→ Higher output
→ Lower cost per unit

Example:

A large car manufacturer can invest in robots that may be too expensive for a small producer.


Diseconomies of Scale

Diseconomies of scale occur when a business becomes so large that its average cost per unit begins to increase.

This can happen because of:

→ Poor communication
→ Lack of employee commitment or loyalty
→ Weak coordination
→ Lack of control

Poor Communication

As a business becomes larger:

→ More employees and managers
→ More departments
→ Longer communication channels

This can result in:

→ Messages being delayed
→ Misunderstandings
→ Poor decisions
→ Production problems

Lack of Employee Commitment or Loyalty

Employees in a very large organisation may feel less connected to the business.

→ Employees may feel less valued
→ Motivation may fall
→ Labour turnover may increase
→ Productivity may decrease

Weak Coordination

Large businesses have many departments and activities that need to work together.

Poor coordination can cause:

→ Duplication of work
→ Delays
→ Excess inventory
→ Production problems
→ Higher costs

Lack of Control

As a business grows, senior managers may find it harder to monitor all activities.

→ Problems may go unnoticed
→ Quality may fall
→ Waste may increase
→ Costs may rise

Economies of Scale vs Diseconomies of Scale

Economies of scaleDiseconomies of scale
Average cost fallsAverage cost rises
Occur as the business expandsMay occur when the business becomes too large
Bulk purchasingPoor communication
Specialist managersLack of employee commitment
Better technologyWeak coordination
Lower finance costsLack of control

Break-even Analysis

Break-even is the level of output at which a business’s total revenue equals total cost.

At the break-even point:

→ Total revenue = Total cost
→ Profit = $0
→ Loss = $0

If output is below break-even:

→ Total cost > Total revenue
→ Business makes a loss

If output is above break-even:

→ Total revenue > Total cost
→ Business makes a profit

Break-even Chart

A break-even chart normally shows:

→ Output on the horizontal axis
→ Costs and revenue on the vertical axis
→ Fixed cost line
→ Total cost line
→ Total revenue line
→ Break-even point

Reading a Break-even Chart

Break-even point

→ Where total revenue intersects total cost

Loss

→ Where total cost is above total revenue

Profit

→ Where total revenue is above total cost

Fixed costs

→ Horizontal line because they remain constant as output changes


Calculating Break-even Output

Formula:

Break-even output = Fixed costs ÷ Contribution per unit

Where:

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

Example

A business has:

→ Fixed costs = $40,000
→ Selling price = $50 per unit
→ Variable cost = $30 per unit

First calculate contribution:

→ $50 − $30 = $20

Then:

→ Break-even output = $40,000 ÷ $20
→ 2,000 units

The business must sell 2,000 units to break even.


Margin of Safety

The margin of safety shows how much actual or expected sales can fall before the business reaches its break-even point.

Formula:

Margin of safety = Actual output − Break-even output

Example

→ Actual output = 3,000 units
→ Break-even output = 2,000 units

Therefore:

→ Margin of safety = 3,000 − 2,000
→ 1,000 units

The business could experience a fall in sales of up to 1,000 units before making a loss, assuming other factors remain unchanged.

Interpreting Margin of Safety

Large margin of safety:

→ Business is further above break-even
→ Greater protection against a fall in sales

Small margin of safety:

→ Business is close to break-even
→ A small fall in sales could result in a loss


Using Break-even Analysis for Decisions

Break-even analysis can help a business understand the effect of changes in:

→ Price
→ Fixed costs
→ Variable cost per unit

Effect of Increasing Price

If selling price increases while other factors remain unchanged:

→ Contribution per unit increases
→ Break-even output decreases
→ Profit can be higher at the same output

Example:

Selling price = $50
Variable cost = $30

→ Contribution = $50 − $30
→ $20

If price increases to $60:

→ Contribution = $60 − $30
→ $30

The business now needs to sell fewer units to cover its fixed costs.

However:

→ Higher prices may reduce demand
→ Customers may switch to competitors

Effect of Increasing Fixed Costs

If fixed costs increase:

→ Break-even output increases
→ Business must sell more units to cover its costs
→ Margin of safety may decrease

Example:

If rent increases significantly:

→ Fixed costs rise
→ Break-even point increases
→ Greater sales are required before profit is made

Effect of Increasing Variable Cost per Unit

If variable cost per unit increases:

→ Contribution per unit decreases
→ Break-even output increases
→ Profit at a given output may fall

Example:

Selling price = $50
Variable cost increases from $30 to $35.

Old contribution:

→ $50 − $30 = $20

New contribution:

→ $50 − $35 = $15

The business now needs to sell more units to cover its fixed costs.


Limitations of Break-even Analysis

Break-even analysis is useful, but it has limitations.

Costs May Not Be Constant

Break-even analysis often assumes:

→ Fixed costs remain fixed
→ Variable cost per unit remains constant

In reality, costs can change.

Selling Price May Change

The analysis may assume that selling price remains constant.

In reality:

→ Businesses may offer discounts
→ Competitors may reduce prices
→ Prices may change with demand

Sales May Not Equal Production

Break-even analysis often assumes that all output produced is sold.

In reality:

→ Inventory may remain unsold
→ Demand may be lower than expected

Demand Is Difficult to Predict

The calculation does not tell the business whether customers will actually buy the required number of units.

Multiple Products

Break-even analysis is simpler for a business selling one product.

If a business sells many products:

→ Each product may have a different price
→ Each product may have different variable costs
→ Sales proportions may change

This makes break-even analysis more complicated.

External Factors

Break-even analysis does not automatically account for:

→ Changes in competition
→ Changes in customer tastes
→ Economic conditions
→ Changes in technology
→ Supply problems


Using Break-even Analysis in Business Decisions

Break-even analysis should be used alongside other business information.

A business should consider:

→ Break-even output
→ Margin of safety
→ Expected demand
→ Competitors’ prices
→ Costs
→ Available production capacity
→ Customer preferences

Example:

A business calculates that it needs to sell 10,000 units to break even, but market research suggests that only 7,000 units are likely to be sold.

→ The business is likely to make a loss if demand is as expected.

It may consider:

→ Reducing fixed costs
→ Reducing variable costs
→ Increasing price, if demand allows
→ Improving promotion
→ Changing the product
→ Reconsidering whether to launch the product

Key idea:

Break-even analysis provides useful financial information, but it should be combined with market research and other business information when making decisions.