Break-Even and the Importance of Cash
What Is Break-Even?
Every start-up needs to know how many units it must sell before it stops making a loss. The total revenue exactly equals total costs; the business makes neither a profit nor a loss.">break-even quantity is that minimum level. Sell one unit above it and the business earns profit; sell one unit below and it makes a loss. Knowing the break-even quantity helps entrepreneurs set realistic sales targets, choose an appropriate selling price, and decide whether a business idea is financially viable before committing time and money to it.
You do not need to memorise the break-even formula — it will be given to you in any question that asks you to apply it. The formula is:
Break-even quantity = Fixed costs ÷ (Selling price − Variable cost per unit)
The bracket part — selling price minus variable cost per unit — tells you how much money each sale contributes towards covering the fixed costs. Once enough units have been sold to cover all the fixed costs, the business has broken even.
The break-even formula is: Fixed costs ÷ (Selling price − Variable cost per unit). You will be given this formula in questions that test it — the skill assessed is applying it correctly, not recalling it from memory. Always show your substitution and working clearly.
Worked Calculation
Ferndale Soap Works is a small partnership in Swansea making artisan soaps. Each bar sells at £7.00. Variable costs (ingredients and wrapping) are £2.50 per bar. Monthly fixed costs (rent, insurance, loan interest) total £2,025.
Step 1 — bracket: £7.00 − £2.50 = £4.50 per bar
Step 2 — break-even: £2,025 ÷ £4.50 = 450 bars per month
Ferndale must sell 450 bars every month to cover all its costs. Below 450 it makes a loss; above 450 it makes a profit.
Reading a Break-Even Graph
A break-even graph has output (units) on the horizontal axis and money (£) on the vertical axis. It contains three lines:
- Fixed costs — a horizontal line starting at the fixed cost level on the vertical axis. It is flat because fixed costs do not change with output.
- Total costs — a line that starts at the fixed costs level and slopes upward as variable costs are added for each unit produced.
- Total revenue — a line that starts at zero (no sales = no revenue) and rises with each unit sold.
Where the total revenue line crosses the total costs line is the break-even point. Reading across to the horizontal axis gives you the break-even quantity. Reading up to the vertical axis at that quantity shows that revenue and costs are equal at that point.
To the left of the break-even point on the graph: the loss zone — total costs exceed total revenue. To the right: the profit zone — total revenue exceeds total costs. The vertical gap between the two lines at any given output shows either the profit or the loss at that level of sales.
When costs or the selling price change, the graph shifts in predictable ways — and the formula shows you what happens before you even draw anything:
- Selling price rises: the revenue line becomes steeper. It crosses the total costs line sooner, so the break-even quantity falls — the business needs to sell fewer units to cover its costs.
- Fixed costs rise: the total costs line shifts upward (higher starting point). The revenue line does not change, so the break-even quantity rises — more units must be sold to cover the higher fixed costs.
- Variable cost per unit rises: the total costs line becomes steeper. Again, the break-even quantity rises — each unit contributes less towards fixed costs, so more units are needed.
Using Break-Even to Support Decisions
Break-even analysis is a planning tool. It cannot guarantee success, but it gives a start-up a clear target: “we must sell at least X units per month to avoid a loss.” Before launching, an entrepreneur can use the break-even quantity to ask: “Is this sales target realistic given our market?” If the break-even quantity seems unreachable, the business can adjust — perhaps by cutting fixed costs, finding cheaper materials, or raising the selling price.
The break-even formula assumes that the selling price stays constant for every unit, that variable cost per unit does not change, and that every unit produced is sold. In reality, businesses often offer discounts, face rising material costs, or build up unsold stock. These real-world complications mean that break-even analysis is a useful guide rather than an exact forecast.
Cash vs Profit
Many students assume that a profitable business is automatically in a strong financial position. This is a dangerous misconception. Cash and profit are not the same thing.
Consider a small furniture-maker who sells a £2,000 dining table but agrees to let the customer pay in 60 days. The sale appears in the accounts as £2,000 of revenue — contributing to profit — but the business has received no cash yet. Meanwhile, the business still needs to pay its suppliers this week for the wood, and its staff tomorrow for their wages. If those immediate payments cannot be met, the business may fail even though it is “profitable on paper.”
A start-up can run out of cash for several reasons even when trading profitably:
- Customers paying late — revenue is counted but cash has not arrived.
- Paying suppliers upfront — the business spends cash before it has sold the goods made from those supplies.
- High stock levels — cash is tied up in unsold inventory instead of sitting in the bank.
- Seasonal demand — sales fall sharply in quiet months but fixed costs continue every month regardless.