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OCR A-level Business (H436) · Costs, revenue, profit and loss
Mini-Lesson

Costs, revenue, profit and loss

This mini-lesson covers the core of H436 Unit 5 — Finance: fixed, variable and total costs, revenue, contribution, break-even output and revenue, the margin of safety and profit — every one of them calculated in full — plus the break-even chart, its limitations, and the income statement.

Work through each screen, answer the questions as you go (some are written, many are calculations) and collect ⭐ stars. Watch for the Calculate and Exam skill flags. Press Start when you're ready.

Unit 5 · Costs

Fixed, variable and total costs

  • Fixed costs do not change with output in the short run: rent, salaries, insurance, loan interest. They are not zero at zero output.
  • Variable costs change directly with output: raw materials, packaging, piece-rate wages, energy used in production.
  • Semi-variable costs have both elements (a phone line rental plus call charges).
total costs = fixed costs + (variable cost per unit × output)
total revenue = selling price × quantity sold
profit = total revenue − total costs

Watch the trap: fixed cost per unit falls as output rises (it is spread), even though total fixed cost is unchanged. That is the whole engine behind economies of scale.

Unit 5 · Contribution

Contribution — the key idea

contribution per unit = selling price − variable cost per unittotal contribution = contribution per unit × units sold

Contribution is what each unit sold contributes towards paying the fixed costs. Once fixed costs are covered, every further unit's contribution becomes profit.

profit = total contribution − fixed costs
Worked example

Price £30, variable cost £18 → contribution = 30 − 18 = £12 per unit

Sell 11,500 units → total contribution = 12 × 11,500 = £138,000

Fixed costs £96,000 → profit = 138,000 − 96,000 = £42,000

Calculate

Your turn — contribution

1Marlow Ltd sells a desk lamp for £30. Variable costs are £18 per lamp. Calculate the contribution per unit.
£
Hint: contribution = selling price − variable cost per unit = 30 − 18.
Unit 5 · Break-even

Break-even output

The break-even point is the output at which total revenue exactly equals total costs — profit is zero.

break-even output = fixed costs ÷ contribution per unit
break-even revenue = break-even output × selling price
total revenue total cost fixed cost break-even profit loss output £
Left of the break-even point the firm makes a loss; right of it, every extra unit adds its contribution to profit.
Calculate

Your turn — break-even output

2Marlow Ltd has fixed costs of £96,000 and a contribution of £12 per lamp. Calculate the break-even output.
units
Hint: break-even = fixed costs ÷ contribution per unit = 96,000 ÷ 12.
Calculate

Your turn — break-even revenue

3Each lamp sells for £30 and break-even output is 8,000 lamps. Calculate the break-even revenue.
£
Hint: 8,000 × 30.
Unit 5 · Margin of safety

Margin of safety and profit

margin of safety = actual output − break-even outputhow far sales can fall before the firm makes a loss
profit = (contribution per unit × units sold) − fixed costs

A large margin of safety means the business can absorb a fall in demand. A small one means it is dangerously close to loss — a strong argument against a business with very high fixed costs entering a volatile market.

Calculate

Your turn — margin of safety

4Marlow Ltd actually sells 11,500 lamps and breaks even at 8,000. Calculate its margin of safety.
units
Hint: margin of safety = actual output − break-even output.
Calculate

Your turn — profit

5With contribution of £12 per lamp, sales of 11,500 lamps and fixed costs of £96,000, calculate Marlow's profit.
£
Hint: total contribution = 12 × 11,500 = £138,000, then subtract £96,000 of fixed costs.
Quick check

Quick check

?Marlow's landlord raises the rent by £12,000 a year. Everything else is unchanged. The new break-even output is:
Unit 5 · Limitations

Using — and doubting — break-even analysis

  • + Quick, cheap, visual; supports a loan application; lets you run "what if" scenarios on price, cost and fixed cost changes.
  • It assumes everything sold is produced and price is constant at every output (no discounts). It assumes costs are neatly fixed or linear-variable — they are not (bulk discounts, overtime rates). It is only as good as the forecast behind it, and it is static in a changing market.

Exam edge: the strongest evaluation is that break-even ignores demand altogether. It tells you what you must sell — not whether anyone will buy it.

Sort it

Fixed, variable or neither?

Tap a cost, then tap the category it belongs to.

🏛️ Fixed cost

📦 Variable cost

🔀 Semi-variable

Unit 5 · Statements

From contribution to the profit and loss

The income statement (profit and loss account) shows performance over a period:

Line£000
Revenue1,200
Cost of sales(720)
Gross profit480
Operating expenses(310)
Operating profit170
Interest(20)
Profit before tax150
gross profit margin = (gross profit ÷ revenue) × 100here: (480 ÷ 1,200) × 100 = 40%

Improving profit: raise price (if demand is inelastic), cut variable costs (cheaper supplier — watch quality), cut fixed costs (relocate, delayer), or raise volume. Each has a strategic cost.

Match it

Match the finance term to its formula

Tap a card on the left, then its partner on the right.

Term
Formula
Quick check

Quick check

?A firm's contribution per unit is positive but it still makes a loss. This means:
Unit 5 · Contribution

Special order decisions

Contribution analysis answers the classic exam question: should we accept a one-off order below our normal price?

If the business has spare capacity, the fixed costs are already being paid. So the order is worth accepting whenever it makes a positive contribution — that is, whenever the price offered exceeds the variable cost per unit.

Worked example

A retailer offers to buy 2,000 lamps at £22 each. Variable cost is £18.

Contribution = 22 − 18 = £4 per lamp → total contribution = 4 × 2,000 = £8,000 extra profit.

But evaluate: is there really spare capacity? Will existing customers demand the same discount? Will the low price damage the brand? A positive contribution makes the order financially attractive — it does not make it strategically right.

Calculate

Your turn — accept the order?

6A retailer offers to buy 2,000 lamps at £22 each. Variable cost is £18 and there is spare capacity. Calculate the extra contribution the order would generate.
£
Hint: contribution per unit = 22 − 18 = £4. Then × 2,000 units.
Quick check

Quick check

?Marlow has spare capacity and is offered £16 per lamp (variable cost £18). It should:
🏆

Mini-lesson complete!

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