Evaluate cost–volume–profit decisions
Use cost–volume–profit relationships to compare business scenarios, test sensitivity and make qualified recommendations with financial and non-financial evidence.
Exam scope and assessment notes
Cambridge International AS & A Level Accounting 9706, 2026–2028 syllabus, Version 2. These original lessons cover Topic 2.2.1–2.2.4: unit, job and batch costing; absorption costing and overheads; marginal costing, contribution and break-even analysis; and cost–volume–profit decisions. Practice is self-checked, not an official Cambridge grade; full timed Papers 1–4 and human subject-teacher review remain outstanding.
Before you begin
- Know the difference between direct and indirect costs and between fixed and variable cost behaviour. Keep units, production volume, overhead rates and relevant ranges visible in calculations.
Work on paper. Try each question before revealing help, and explain why your method works.
Quick readiness check
Which set contains core CVP inputs?
What you will learn
- Explain the relationship between cost, activity, revenue and profit
- Assess the advantages and limitations of CVP analysis
- Use supporting data and non-financial factors in a recommendation
CVP connects activity to a modelled result
Cost–volume–profit (CVP) analysis examines how fixed costs, variable cost per unit, selling price, sales volume and product mix affect contribution, break-even and profit. It can compare a price change, cost-saving proposal or sales target using consistent assumptions and show how much sales volume is needed for a result.
Sensitivity checks change one or more assumptions, such as material cost, expected volume or selling price, to see how the model result changes. The analysis is a decision aid, not a prediction of demand or a substitute for checking whether the assumptions are plausible.
State the assumptions and test wider consequences
Simple CVP commonly assumes a relevant range, constant selling price and variable cost per unit, fixed costs unchanged, output sold equal to output made, and a constant sales mix where products are combined. Real costs can be stepped, prices can change with volume, efficiency and waste can vary, and multiple products may sell in different proportions.
Support recommendations with explicit non-financial factors such as capacity, competitor response, quality, delivery, staff, supplier reliability and customer demand. A plan that reduces calculated break-even may still harm service or product quality; describe the trade-off and what should be monitored.
Pause and explain
A single-product CVP model assumes selling price and variable cost per unit stay constant within what boundary?
Worked example
A business sells 8,000 units at $30, with variable cost $18 per unit and fixed costs $60,000. A supplier proposes a variable-cost cut of $2 per unit but requires $14,000 of extra annual fixed cost. Compare the current and proposed break-even outputs and target profits at 8,000 units.
Show the worked solution
- Current contribution is $12 per unit; break-even = 60,000 ÷ 12 = 5,000 units; profit at 8,000 = 8,000 × 12 − 60,000 = $36,000.
- Proposed variable cost is $16, so contribution is $14; fixed costs become $74,000. Break-even = 74,000 ÷ 14 ≈ 5,286 units.
- Proposed profit at 8,000 = 8,000 × 14 − 74,000 = $38,000, $2,000 higher if price, quality, demand and capacity remain as assumed.
Answer The proposal increases modelled profit by $2,000 at 8,000 units and raises break-even from 5,000 to about 5,286 units. Test supplier quality, delivery, realistic volume and the cost assumptions before accepting.
Try a topic test
Choose Easy, Normal or Difficult. Save your answers and open worked review after finishing.
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 proposal lowers variable cost by $1.50 per unit but adds $9,000 fixed cost. Expected sales are 7,000 units. Calculate the modelled profit change and name two conditions needed for the result to be meaningful.
Give me a hint
At the same volume and selling price, compare the variable saving with extra fixed cost.
Compare my reasoning
- Variable saving = 7,000 × $1.50 = $10,500.
- Net modelled profit increase = 10,500 − 9,000 = $1,500.
- The volume, price and quality must remain as assumed; check capacity, supplier performance and whether the fixed cost is truly incremental.
Modelled profit increases by $1,500 at 7,000 units, provided the volume, price, variable saving and quality assumptions hold and the extra fixed cost is incremental.
Look for these in your work
- Variable saving calculated
- Fixed cost deducted
- Model conditions stated
A product has fixed costs of $48,000, price $40 and variable cost $28. A new process raises fixed costs by $6,000 and lowers variable cost by $2 per unit. Calculate and compare break-even output before and after the change, then identify the sales volume above which the proposal gives greater profit.
Give me a hint
Set each profit expression equal, then compare the contribution improvement with the extra fixed cost.
Compare my reasoning
- Before: contribution $12; break-even = 48,000 ÷ 12 = 4,000 units.
- After: contribution $14; break-even = 54,000 ÷ 14 ≈ 3,857.14, so at least 3,858 whole units for non-negative profit.
- Profit change = $2 per unit × output − $6,000. The proposal gives greater profit above 3,000 units; verify both processes are feasible in the relevant range.
Break-even falls from 4,000 to about 3,858 units. The proposal yields higher profit above 3,000 units, assuming the selling price, volume and process estimates hold.
Look for these in your work
- Both break-even outputs calculated
- Whole-unit interpretation given
- Profit crossover solved
A business has a positive CVP result for a price cut intended to raise volume, but customers may associate the lower price with lower quality and the factory is near capacity. Recommend what evidence to gather before changing the price.
Give me a hint
CVP models cost and revenue assumptions; it does not establish demand, brand response or capacity feasibility.
Compare my reasoning
- Test customer response and likely volume at alternative prices, including competitor and product-position evidence.
- Check contribution at each price and whether the factory can meet the forecast without overtime, defects or delayed orders.
- Consider a limited trial and monitor sales, contribution, returns, quality, delivery and customer feedback before a wider change.
Do not rely on CVP alone. Test price response, capacity, quality and delivery consequences, then run a controlled trial with contribution and service measures before committing to a permanent price reduction.
Look for these in your work
- Demand response checked
- Capacity and non-financial effects considered
- Monitoring plan proposed
Common mistakes
- Changing one assumption while silently changing the others
- Treating modelled volume as certain demand
- Ignoring product mix, capacity and customer response
What can you explain now?
What does a CVP sensitivity check help a manager examine?
Compare with the explanation
How the model result changes when a key assumption changes
It tests the effect of an assumption; it does not prove what will happen.
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Make it stick
Name three CVP assumptions and one non-financial factor that could change a decision.
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.