classify and calculate costs using examples, e.g. fixed, variable, average and total
4.4.1 Identify and classify costs
Costs are the money a business spends to produce goods or services. They can be grouped into different types that help managers decide how to price, budget and grow.
Fixed Costs (FC)
💡 Analogy: Think of a gym membership – you pay the same amount every month, whether you work out or not.
Fixed costs stay the same regardless of how many units you produce.
- Rent of factory or shop
- Insurance premiums
- Salary of permanent staff
Example: Rent of a shop is £500 per month.
Variable Costs (VC)
💡 Analogy: Imagine buying pizza toppings – the more slices you make, the more cheese and pepperoni you need.
Variable costs change directly with the level of production.
- Raw materials per unit
- Direct labour per unit
- Utilities that vary with output
Example: Cost of raw material per unit is £3.
Total Cost (TC)
📈 Total cost is the sum of fixed and variable costs:
$$TC = FC + VC \times Q$$
where Q = quantity produced.
Example: If FC = £2000 and VC = £5 per unit, producing 400 units gives:
$$TC = 2000 + 5 \times 400 = 4000$$
Average Cost (AC)
📊 Average cost is the cost per unit:
$$AC = \frac{TC}{Q}$$
Using the previous example:
$$AC = \frac{4000}{400} = 10$$
So each unit costs £10 on average.
Cost Classification Table
| Cost Type | Definition | Example |
|---|---|---|
| Fixed Cost | Does not change with output level. | Rent £500/month |
| Variable Cost | Changes directly with output level. | Raw material £3/unit |
| Total Cost | Sum of fixed and variable costs. | TC = FC + VC × Q |
| Average Cost | Cost per unit. | AC = TC ÷ Q |
Exam Tip 📌
When a question asks you to calculate average cost, first find the total cost and then divide by the quantity produced. Remember: AC = TC ÷ Q.
For fixed and variable costs, look for clues: “per unit” indicates variable, while “per month” or “per year” indicates fixed.
Use the formulae in your notes to avoid calculation errors.
Quick Practice
Suppose a company has:
- Fixed cost: £3,000
- Variable cost per unit: £4
- Quantity produced: 250 units
Calculate:
- Total Cost
- Average Cost
Try it on your own before checking the answer below.
Answer:
$$TC = 3000 + 4 \times 250 = 3000 + 1000 = 4000$$
$$AC = \frac{4000}{250} = 16$$
Each unit costs £16 on average.
Revision
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