A note on breakeven analysis (for doing exercise G2 in the seminar folder of AMA)

A note on breakeven analysis (for doing exercise G2 in the seminar folder of AMA)

 

Briefly explain the topic of breakeven analysis in management accounting, notably on the concept of breakeven point, Contribution and C/S ratio. Please provide a few simple calculation examples to clarify the ideas further.

Breakeven analysis is a cost-volume-profit (CVP) technique that shows the sales volume or revenue at which a business makes neither profit nor loss. It is useful for pricing, planning, cost control, and assessing how changes in costs or sales volume affect profit.

Key concepts

Concept	Meaning	Formula
Breakeven point (BEP)	Sales level where total revenue equals total cost, so profit is zero.	BEP (units) = Fixed costs ÷ Contribution per unit
Contribution	Sales revenue remaining after variable costs; it first covers fixed costs, then becomes profit.	Contribution per unit = Selling price per unit − Variable cost per unit
C/S ratio	Contribution as a proportion of sales revenue; also called contribution-margin or P/V ratio.	C/S ratio = Contribution per unit ÷ Selling price per unit
BEP in sales value	Revenue needed to cover fixed and variable costs.	BEP (revenue) = Fixed costs ÷ C/S ratio

 

Example 1: Breakeven in units

A company sells a product at $50 per unit. Variable cost is $30 per unit, and monthly fixed costs are $20,000.

·        Contribution per unit = $50 − $30 = $20

·        Breakeven point = $20,000 ÷ $20 = 1,000 units

·        Breakeven sales revenue = 1,000 × $50 = $50,000

At 1,000 units, total contribution of $20,000 exactly covers fixed costs, so profit is zero.

Example 2: C/S ratio and breakeven revenue

Using the same data:

·        C/S ratio = $20 ÷ $50 = 0.40, or 40%

·        Breakeven revenue = $20,000 ÷ 0.40 = $50,000

This means that 40 cents of every $1 of sales revenue is available to cover fixed costs and then generate profit.

Example 3: Profit above breakeven

Suppose the company sells 1,500 units.

·        Total contribution = 1,500 × $20 = $30,000

·        Fixed costs = $20,000

·        Profit = $30,000 − $20,000 = $10,000

The first 1,000 units cover fixed costs; the additional 500 units generate profit at $20 contribution per unit.

Example 4: Target profit

If the company wants a profit of $10,000, treat the target profit as an additional amount to be covered by contribution:

Required units = Fixed costs + Target profit / Contribution per unit

 

= (20,000+10,000) / 20 = 1,500 units

 

Thus, 1,500 units are needed to earn the $10,000 target profit.

Practical interpretation

·Selling below the breakeven point produces a loss; selling above it produces profit.

·A higher contribution per unit or higher C/S ratio lowers the breakeven point.

·A higher C/S ratio means each dollar of sales contributes more toward fixed costs and profit.