How do you calculate the break-even point, the margin of safety and the output needed for a target profit, and what do the cost-volume-profit assumptions imply?
Cost-volume-profit analysis, including the calculation of the break-even point in units and in sales value, the contribution to sales (C/S) ratio, the margin of safety, the output required for a target profit, and the assumptions and limitations of break-even analysis.
A focused answer to the SQA Higher Accounting break-even content, covering the break-even point in units and value, the contribution to sales ratio, the margin of safety, output for a target profit, the break-even chart, and the assumptions and limitations of the analysis.
Reviewed by: AI editorial process; not yet individually human-reviewed
Have a quick question? Jump to the Q&A page
Jump to a section
What this dot point is asking
The SQA wants you to use cost-volume-profit (break-even) analysis to find the output at which a business covers its costs, the safety cushion above that point, and the output needed for a target profit. You must calculate break-even in units and in sales value, use the contribution to sales ratio, find the margin of safety, and discuss the assumptions and limitations of the technique.
The break-even idea
Below a certain level of sales a business makes a loss, because contribution does not yet cover fixed costs. At the break-even point, total contribution exactly equals fixed costs. Above it, every further unit's contribution is profit. The analysis lets managers see how output, costs and profit relate, and answer "what if" questions about prices and volumes.
The core formulae
Worked example
The break-even chart
A break-even chart plots sales revenue and total cost against output. The two lines cross at the break-even point; to the left of the crossing the cost line is above revenue (a loss), to the right revenue is above cost (a profit). The vertical gap between the lines at a given output is the profit or loss, and the horizontal distance from break-even to expected sales is the margin of safety. The chart makes the relationships visible to non-accountants.
Assumptions and limitations
The technique rests on simplifying assumptions: selling price stays constant at every output, costs are either purely fixed or purely variable and behave in straight lines, fixed costs do not change over the range, and all output is sold with no change in inventory. In reality prices may fall to sell more, some costs are stepped or semi-variable, and not everything produced is sold. So break-even analysis is a useful planning guide, but its single-product, linear model means results are approximate and should not be the only basis for a decision.
Try this
Q1. Fixed costs £45,000, contribution per unit £9. Calculate the break-even point in units. [2 marks]
- Cue. £45,000 / £9 = 5,000 units.
Q2. Selling price £20, contribution per unit £8. Calculate the C/S ratio. [1 mark]
- Cue. £8 / £20 = 0.4 or 40%.
Q3. Fixed costs £45,000, target profit £18,000, contribution per unit £9. Calculate the units needed. [2 marks]
- Cue. (£45,000 + £18,000) / £9 = 63,000 / 9 = 7,000 units.
Exam-style practice questions
Practice questions written in the style of SQA exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.
SQA Higher style6 marksA product sells for £25 with a variable cost of £15 and annual fixed costs of £80,000. The business expects to sell 12,000 units. Calculate the break-even point in units, the margin of safety in units, and the number of units needed to make a target profit of £30,000.Show worked answer →
Contribution per unit = £25 - £15 = £10 (1 mark).
Break-even point = fixed costs / contribution per unit = £80,000 / £10 = 8,000 units (2 marks).
Margin of safety = expected sales - break-even = 12,000 - 8,000 = 4,000 units (1 mark).
Units for target profit = (fixed costs + target profit) / contribution per unit = (£80,000 + £30,000) / £10 = 110,000 / 10 = 11,000 units (2 marks). Markers reward the contribution, the break-even point, the margin of safety and the target profit output.
SQA Higher style3 marksState two assumptions of break-even analysis and explain why each one limits how much the analysis can be relied on.Show worked answer →
Assumption one: selling price per unit stays constant at all output levels, but in practice prices may have to be cut to sell more, so the real break-even may be higher than calculated (1 mark plus 1 for the limitation).
Assumption two: costs are either purely fixed or purely variable and behave in a straight line, but some costs are stepped or semi-variable, so the straight-line model is only an approximation (1 mark). Markers reward two valid assumptions each paired with why it limits reliability.
Related dot points
- The distinction between marginal and absorption costing, the calculation and use of contribution, and the application of marginal costing to short-term decisions such as accepting a special order, making or buying, and discontinuing a product.
A focused answer to the SQA Higher Accounting marginal and absorption costing content, covering fixed and variable costs, contribution, how the two costing methods treat fixed overhead, and using marginal costing for special order, make or buy and discontinuance decisions.
- Preparation of a cash budget showing opening and closing balances, the purpose of budgeting and the difference between cash and profit, and the preparation and use of a flexible budget that is adjusted to the actual level of activity.
A focused answer to the SQA Higher Accounting budgeting content, covering the purpose of budgeting, preparing a cash budget with receipts, payments and running balances, why cash differs from profit, and preparing and using a flexible budget adjusted to actual activity.
- The allocation and apportionment of overheads to cost centres, the calculation and use of an overhead absorption rate, and the build-up of the total cost of a job from direct materials, direct labour, direct expenses and absorbed overhead.
A focused answer to the SQA Higher Accounting job and overhead costing content, covering the allocation and apportionment of overheads, the overhead absorption rate, absorbing overhead into a job, and building up total cost to set a selling price.
- Capital investment appraisal using the payback period and the accounting rate of return (ARR), the interpretation of the results to choose between projects, and the advantages and limitations of each method including the treatment of the time value of money.
A focused answer to the SQA Higher Accounting investment appraisal content, covering the payback period and the accounting rate of return, how each is calculated and used to choose between projects, and the advantages and limitations of each method.
- Interpretation of financial accounting information for different stakeholders, the comparison of performance over time and against other businesses, the reporting of findings with recommendations, and the limitations of accounting information and ratio analysis.
A focused answer to the SQA Higher Accounting interpretation content, covering the information needs of different stakeholders, comparing performance over time and against other businesses, reporting findings with recommendations, and the limitations of accounting information and ratio analysis.
Sources & how we know this
- SQA Higher Accounting Course Specification — SQA (2023)