Year 12

AQA A level Business Break-Even Notes

Break-Even Analysis

— Finance & Accounting · Business Studies —
★ Exam Tip: "Define break-even" is a 2-mark question — learn the definition word for word. Also be ready to calculate break-even units, draw the diagram, and give benefits / limitations.

1. Break-Even and its Analysis

Start-up business → break-even is its target = its "point of survival".

Established business → uses it to find its margin of safety.

Break-even has two sides: below it = line of loss, above it = line of profit.

Break-even: Total Revenue = Total Cost
(Total Cost = TFC + TVC)
Define 'break-even' (2 marks): Break-even is the point where the total amount of revenue covers the total cost, or a point of activity where the business is making neither a loss nor a profit.

2. Two Methods

MethodHow
Numericalcalculation (formula)
Graphicaldiagram (lines on a graph)

3. Numerical Method

Break-even output / units / point:

Break-even units = Total fixed costContribution per unit
Contribution per unit = Selling price − Variable cost per unit
Remember: each unit sold contributes (participates) towards paying the fixed costs.

Contribution = what is left of the selling price after paying the variable cost of that one unit — this is what covers fixed cost.

Example:
Fixed cost = $50 000, price = $50, variable cost = $25 per unit.
Break-even = TFCprice − VC = $50 000$50 − $25 = $50 000$25 Break-even = 2000 units

4. Graphical Method — Build the Diagram

Axes: y = cost / revenue ($), x = units. Draw the lines one by one:

$units Fixed cost
① fixed cost = horizontal line (same at every output)
$units Total revenue
② total revenue = straight line from origin (0 units ⇒ $0)

③ Total cost line

$units 200400 100 Fixed cost Total cost $2 / unit VC
TC starts at the fixed-cost level and rises with variable cost
At 0 units TC = TFC + TVC = $200 + $0 TC = $200 At 100 units (VC = $2/unit) TC = TFC + TVC = $200 + $200 TC = $400
Note: Total cost line starts on the fixed-cost line (not at the origin), because fixed cost must be paid even at 0 units. Total variable cost = $2 × 100 units = $200.

④ The complete break-even diagram

cost / revenue ($) units 250(x1000 units) Break-even TR = TC area of loss profit margin of safety FC TRTC
left of break-even = loss; right = profit; gap between TR and TC at the actual output = margin of safety
Break-even point: where TR = TC (lines cross) — here at 250 (×1000) units
How to read it: before the crossing point TC is above TR ⇒ area of loss; after it TR is above TC ⇒ profit; margin of safety = how far output can fall before the business starts making a loss.

5. Benefits and Limitations

Benefits (of break-even analysis)

  1. Diagrams are easy to construct and interpret.
  2. Helps in calculating profit and loss at the different levels of output.
  3. Helps in setting the selling price.
  4. Can be compared with different options such as location decisions / operational decisions.
  5. Helps in marketing plans and decisions.

Limitations

  1. Assumes all units are sold and there is no unsold inventory.
  2. Assumes selling price remains unchanged.
  3. Ignores the changes of the dynamic business environment.
  4. Assumes variable cost remains unchanged.
  5. Lines are drawn straight, which gives an unrealistic view / approach.
✓ Quick Recap — Break-Even
  • Definition: TR covers TC / neither loss nor profit.
  • Start-up → target (point of survival); established → margin of safety.
  • Break-even units = TFC ÷ (selling price − variable cost per unit).
  • Example: $50 000 ÷ ($50 − $25) = 2000 units.
  • Graph: fixed cost (horizontal), TR (from origin), TC (starts at FC); cross = break-even.
  • Benefits: easy diagram · profit/loss at each output · pricing · compare options · marketing.
  • Limitations: all units sold · price constant · ignores environment · VC constant · straight lines.