Interpret a break-even chart
Read output, cost and revenue axes and locate the break-even point and profit or loss regions.
Cambridge IGCSE Business 0264, 2027–2029 syllabus, Topic 4. Show working for calculations and state the assumptions behind production or cost decisions. Written practice is self-checked and does not certify exam readiness
Before you begin
- No previous operations study is assumed. Read the time period, output unit, cost data and operating constraints before calculating or recommending.
Work on paper. Try each question before revealing help, and explain why your method works.
Quick readiness check
Where is the break-even point on a simple chart?
What you will learn
- Explain the break-even point
- Interpret a simple break-even chart
- Relate chart regions to profit or loss
Find where revenue and total cost meet
Break-even is the output or sales level where total revenue equals total cost, so the business makes neither a profit nor a loss under the model.
A simple break-even chart usually places output on the horizontal axis and money on the vertical axis. Fixed costs form a horizontal line; total costs begin at fixed costs and rise with variable costs; total revenue begins at zero and rises with sales.
Read regions and limitations
The intersection of total revenue and total costs is the break-even point. To the left of it, total costs exceed revenue and the model shows a loss; to the right, revenue exceeds total costs and the model shows profit.
A chart represents stated assumptions and scale. Check the axis labels and read units from the chart; do not infer exact values from an unscaled drawing.
Pause and explain
At output below the break-even point, what does the simple chart usually show?
Worked example
On a break-even chart, total revenue intersects total cost at 400 units. At 300 units, total cost lies above revenue. What do the chart readings show?
Show the worked solution
- The intersection is the break-even output.
- At 300 units, costs exceed revenue.
- The firm is below break-even at that output.
Answer Break-even output is 400 units. At 300 units the chart shows a loss because total cost exceeds total revenue.
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Test this topic →From guided practice to a new situation
Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.
A chart shows total revenue and total cost crossing at 750 units. State the break-even output and what the model predicts at 900 units if revenue lies above cost there.
Give me a hint
Use the crossing for break-even and compare the lines at 900 units.
Compare my reasoning
- The crossing gives 750 units.
- At 900 units revenue is above total cost.
- The model therefore shows a profit at that output.
Break-even output is 750 units. At 900 units the business is above break-even and the chart predicts a profit because revenue exceeds total cost.
Look for these in your work
- Crossing read correctly
- Output stated
- Profit region interpreted
A learner identifies the intersection of revenue and fixed costs as break-even. Explain the correction.
Give me a hint
Break-even compares revenue with all costs, including variable cost.
Compare my reasoning
- Fixed costs are only one part of total cost.
- The total-cost line includes fixed and variable costs.
- Break-even is where revenue and total cost meet.
The learner should find where total revenue intersects total cost, not fixed cost. Fixed cost alone excludes variable costs and therefore does not show the output at which all costs are covered.
Look for these in your work
- Cost concepts separated
- Correct lines identified
- Reason explained
A chart has no labelled scale, but the revenue line is above total cost at a shown output. What can you conclude, and what can you not calculate?
Give me a hint
Relative line positions support a qualitative conclusion, but not an exact amount.
Compare my reasoning
- Revenue above cost indicates profit in the model.
- Without a scale, the exact output or profit cannot be read.
- Request the chart units and labels for numerical calculation.
The chart indicates profit at that point because revenue exceeds total cost, but an exact output or profit cannot be calculated without a labelled scale.
Look for these in your work
- Qualitative inference made
- Numerical limit stated
- Needed information identified
Common mistakes
- Calling the crossing of fixed cost and revenue the break-even point
- Forgetting that total cost starts above zero at fixed costs
- Assuming a chart scale that is not labelled
What can you explain now?
Where is the break-even point on a simple chart?
Compare with the explanation
Where total revenue equals total cost
At this point profit and loss are zero in the model.
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Make it stick
What does the break-even point show on a chart, and what do the regions on either side mean?
If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.