Breakeven Point · Margin of Safety · Target Profit · Contribution to Sales Ratio · Breakeven Charts · Limitations | Cambridge A Level Accounting 9706
Breakeven analysis determines the level of sales at which total revenue exactly equals total costs — meaning neither a profit nor a loss is made. It is a fundamental planning tool for managers, helping them understand the relationship between costs, volume and profit.
| Assumption | What It Means |
|---|---|
| Selling price is constant | Revenue line is straight — no bulk discounts or price changes with volume |
| Variable costs are constant per unit | Variable cost line is straight — no economies of scale or rising input prices |
| Fixed costs remain fixed | Fixed costs do not change within the relevant range of output shown |
| Single product or constant sales mix | Analysis applies to one product or a fixed proportion of multiple products |
| All production is sold | No change in inventory levels — units produced equal units sold |
Contribution per unit = Selling Price per unit − Variable Cost per unit
BEP (units) = Total Fixed Costs ÷ Contribution per unit
BEP (revenue) = Total Fixed Costs ÷ CS Ratio
CS Ratio = Contribution per unit ÷ Selling Price per unit (expressed as a decimal or %)
Margin of Safety = Budgeted/Actual Sales − Breakeven Sales (in units or as % of budgeted sales)
Units for target profit = (Fixed Costs + Target Profit) ÷ Contribution per unit
Lahore Electronics Ltd sells a product at $50 per unit. Variable cost is $30 per unit. Total fixed costs are $80,000 per year. Budgeted sales are 6,000 units. Target profit is $30,000.
A breakeven chart plots total revenue and total costs against output level. The point where these two lines intersect is the breakeven point. Cambridge may ask you to draw, label or interpret a breakeven chart.
| Step | What to Draw | Using Example 1 Data |
|---|---|---|
| 1 | Draw and label axes — Output on x-axis, Revenue/Cost ($) on y-axis | x-axis: 0 to 6,000 units; y-axis: $0 to $320,000 |
| 2 | Plot Fixed Cost line — horizontal line from y-axis at fixed cost level | Horizontal line at $80,000 across all output levels |
| 3 | Plot Total Cost line — starts at fixed cost on y-axis, rises with variable cost slope | Starts at $80,000 (0 units); ends at $260,000 (6,000 units) |
| 4 | Plot Total Revenue line — starts at origin (0,0), rises with selling price slope | Starts at $0 (0 units); ends at $300,000 (6,000 units) |
| 5 | Mark the Breakeven Point — intersection of TR and TC lines | 4,000 units, $200,000 — mark clearly with a dot and label |
| 6 | Show Margin of Safety — horizontal arrow from BEP to budgeted output | Arrow from 4,000 to 6,000 units; label "MoS = 2,000 units" |
The margin of safety measures how far sales can fall before the business reaches the breakeven point and begins to make a loss. It is a measure of risk — a larger margin of safety means the business can withstand a larger fall in sales before becoming unprofitable.
MoS (units) = Budgeted Sales (units) − Breakeven Sales (units)
MoS (revenue $) = Budgeted Revenue − Breakeven Revenue
MoS (%) = MoS in units ÷ Budgeted Sales × 100
Compare the risk profiles of Company A and Company B:
| Item | Company A | Company B |
|---|---|---|
| Selling price per unit | $40 | $40 |
| Variable cost per unit | $24 | $32 |
| Contribution per unit | $16 | $8 |
| Fixed costs | $64,000 | $16,000 |
| Budgeted sales | 8,000 units | 8,000 units |
| Budgeted profit | (8,000×$16)−$64,000 = $64,000 | (8,000×$8)−$16,000 = $48,000 |
| Breakeven point | $64,000÷$16 = 4,000 units | $16,000÷$8 = 2,000 units |
| Margin of Safety (units) | 4,000 units (50%) | 6,000 units (75%) |
| CS Ratio | 40% | 20% |
Company A has higher fixed costs and higher contribution per unit — this is a high operating leverage business. It has a lower margin of safety (50%) but earns higher profit at the budgeted level ($64,000 vs $48,000). If sales exceed budget, profit rises quickly because the contribution rate is high.
Company B has lower fixed costs and lower contribution per unit — a low operating leverage business. It has a larger margin of safety (75%) but earns less profit at the same sales volume. It is less risky but also less rewarding when trading is strong.
Neither is definitively better — the right structure depends on the business's risk appetite and the stability of its sales volume.
The CS ratio (also called the profit-volume ratio or P/V ratio) expresses contribution as a proportion of revenue. It is particularly powerful when revenue figures are available but unit data is not.
CS Ratio = Contribution per unit ÷ Selling price per unit
CS Ratio = Total Contribution ÷ Total Revenue (same result)
BEP in revenue = Fixed Costs ÷ CS Ratio
Profit at given revenue = (Revenue × CS Ratio) − Fixed Costs
Revenue needed for target profit = (Fixed Costs + Target Profit) ÷ CS Ratio
A company has annual revenue of $500,000. Variable costs are 60% of revenue. Fixed costs are $90,000. Required: BEP, current profit, revenue for target profit of $60,000.
Cambridge frequently asks how a change in selling price, variable cost or fixed cost affects the breakeven point, margin of safety or profit. The key is to recalculate contribution per unit and reapply the formula.
| Change | Effect on Contribution | Effect on BEP | Effect on Margin of Safety |
|---|---|---|---|
| Selling price increases | Contribution per unit increases | BEP falls (fewer units needed) | Margin of safety increases |
| Selling price decreases | Contribution per unit falls | BEP rises | Margin of safety decreases |
| Variable cost increases | Contribution per unit falls | BEP rises | Margin of safety decreases |
| Variable cost decreases | Contribution per unit increases | BEP falls | Margin of safety increases |
| Fixed costs increase | No effect on contribution per unit | BEP rises (more contribution needed) | Margin of safety decreases |
| Fixed costs decrease | No effect on contribution per unit | BEP falls | Margin of safety increases |
Using Lahore Electronics from Example 1 ($50 selling price, $30 variable cost, $80,000 fixed costs, 6,000 budgeted units). The company considers raising the selling price to $55 but expects budgeted sales to fall to 5,500 units.
| Item | Before ($50) | After ($55) | Change |
|---|---|---|---|
| Contribution per unit | $20 | $25 | +$5 |
| CS Ratio | 40% | 45.5% | +5.5% |
| BEP (units) | 4,000 | 3,200 | −800 ✅ |
| Budgeted profit | $40,000 | $57,500 | +$17,500 ✅ |
| Margin of Safety | 2,000 units (33%) | 2,300 units (42%) | +300 units ✅ |
Cambridge frequently asks candidates to evaluate the usefulness of breakeven analysis — always include limitations for full marks.
Assumes straight-line relationships — in reality, selling price may fall with volume (discounts), and variable costs may fall with scale (bulk buying). Real revenue and cost lines are often curves, not straight lines.
Fixed costs are only fixed within a relevant range — beyond certain output levels, fixed costs step up (new factory, new manager). Breakeven analysis ignores these step changes.
Most businesses sell multiple products with different contribution rates. Applying a single breakeven point assumes a constant sales mix — which rarely holds in practice.
Breakeven charts show one scenario at one point in time. They do not automatically update when conditions change — recalculating is time-consuming and the chart quickly becomes outdated.
Breakeven analysis is based on profit, not cash flows. A business may be making a profit above the BEP but still face cash shortages if receivables are slow or capital expenditure is heavy.
Breakeven assumes all production is sold — no inventory build-up. In reality, inventory levels change, and this affects the relationship between costs and revenues in any given period.
C → CS → BEP → MoS → TP
Contribution = SP − VC
CS ratio = C ÷ SP
BEP (units) = FC ÷ C |
BEP (revenue) = FC ÷ CS ratio
MoS = Budgeted Sales − BEP
Target Profit = (FC + TP) ÷ C per unit
Higher contribution → lower BEP
Lower contribution → higher BEP
Higher fixed costs → higher BEP (contribution unchanged)
Lower fixed costs → lower BEP (contribution unchanged)
Rule: BEP = FC ÷ C. If FC goes up, BEP goes up. If C goes up, BEP goes down.
Question 1 Application — 5 marks Paper 1
Karachi Garments Ltd sells a product at $35 per unit. Variable cost is $21 per unit. Fixed costs are $56,000 per year. Budgeted sales are 7,000 units.
Calculate: (a) Contribution per unit (b) CS Ratio (c) BEP in units (d) BEP in revenue (e) Margin of Safety as a percentage.
Question 2 Application — 4 marks Paper 3
A company has annual revenue of $600,000. Variable costs are 65% of revenue. Fixed costs are $84,000 per year. The company wishes to achieve a target profit of $36,000.
Calculate: (a) CS Ratio (b) Current profit (c) BEP in revenue (d) Revenue required for target profit.
Question 3 Analysis — 4 marks Paper 3
Punjab Foods Ltd currently sells 10,000 units at $25 each. Variable cost is $15. Fixed costs are $60,000. Management is considering two options:
Option A: Reduce selling price to $22 — expected
sales increase to 13,000 units.
Option B: Increase fixed costs by $15,000 (advertising)
— expected sales increase to 12,000 units at existing price.
Evaluate both options using breakeven analysis and recommend which option management should choose.
Current position: Contribution = $10/unit. BEP = 6,000 units. Profit = (10,000 × $10) − $60,000 = $40,000
| Item | Current | Option A | Option B |
|---|---|---|---|
| Selling price | $25 | $22 | $25 |
| Contribution/unit | $10 | $7 | $10 |
| Fixed costs | $60,000 | $60,000 | $75,000 |
| BEP (units) | 6,000 | 8,571 | 7,500 |
| Sales (units) | 10,000 | 13,000 | 12,000 |
| Total contribution | $100,000 | $91,000 | $120,000 |
| Profit | $40,000 | $31,000 | $45,000 |
| Margin of Safety | 4,000 (40%) | 4,429 (34%) | 4,500 (37.5%) |
Recommendation: Option B. Option B generates higher profit ($45,000 vs $31,000 for Option A and $40,000 currently). Option A reduces profit despite higher volume because the contribution per unit falls too sharply. Option B also has a better margin of safety than Option A. Management should choose Option B — increase advertising spend and maintain the current selling price. (4 marks)
Question 4 Knowledge — 3 marks Paper 1
State three assumptions underlying breakeven analysis and for each assumption explain why it may not hold in practice.
Any three of the following (1 mark each):
Question 5 Analysis — 3 marks Paper 3
A company has a margin of safety of 15%. Discuss what this means and explain whether this represents a strong or weak position, giving reasons for your answer.
A margin of safety of 15% means that sales can fall by 15% from their current/budgeted level before the company reaches breakeven and begins to make a loss. (1 mark)
This represents a relatively weak position — the company has limited buffer against a decline in sales. Any significant downturn in the economy, loss of a key customer, or increased competition could quickly push sales below the breakeven point and generate losses. A margin of safety of 30–40% or above would be considered more comfortable. (1 mark)
However, whether 15% is acceptable depends on the industry and the stability of the business's sales. A company in a highly stable regulated industry (e.g. utility provider) may be comfortable with a low margin of safety because demand is predictable. A company in a highly competitive or seasonal market with a 15% margin of safety would face significant risk. Management should consider whether the margin can be improved by reducing fixed costs, increasing selling price, or reducing variable costs. (1 mark)