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Class 12 Entrepreneurship Notes · CBSE

Break-Even Analysis for Multiple Products

Break-even point for single and multiple products using the weighted average and contribution margin approaches, and the sales mix concept. CBSE Class 12 Entrepreneurship notes

Last updated: 25 Aug 2026

Notes

Break-Even Analysis for Multiple Products

Business Arithmetic — when revenue equals expenses, and why the sales mix decides how fast you get there

What is the Break-Even Point?

Break-even point (BEP)
The sales level where total revenue equals total expenses, resulting in neither profit nor loss.
BEP QUANTITY (SINGLE PRODUCT)
BEP Quantity = Fixed Expenses / (Selling Price per Unit − Variable Cost per Unit)
BEP QUANTITY (MULTIPLE PRODUCTS)
BEP Units of Sales Mix = Total Fixed Cost / Weighted Average CM per Unit
Gross margin and gross profit are the same thing. Break-even analysis is useful for setting profit goals and sales targets. In manufacturing, it helps identify products that aren't contributing enough to cover fixed expenses.

Sales Mix and the Weighted Contribution Approach

Sales mix

Sales mix is the proportion in which different products are sold. The calculation computes a weighted average contribution margin per unit to overcome varying contribution margins across products.
Weighted average CM per unit = ₹ 1.2 + ₹ 1.4 + ₹ 10.2 = ₹ 12.80
Product AProduct BProduct C
Sales price per unit₹ 15/-₹ 21/-₹ 36/-
Variable cost per unit₹ 9/-₹ 14/-₹ 19/-
Contribution margin per unit₹ 6/-₹ 7/-₹ 17/-
Sales mix percentage20%20%60%
Weighted CM per unit₹ 1.2/-₹ 1.4/-₹ 10.2/-

Solved Example

Problem

Given fixed cost ₹ 40,000, find BEP in units and rupees for the sales mix above.

Solution

BEP = 3,125 units of sales mix; BEP in rupees = ₹ 90,000

So what?

A multi-product business never tracks “one break-even number” — it tracks the mix. A bakery selling ₹ 10 bread and ₹ 150 celebration cakes breaks even on far fewer units when the mix tilts to cakes.

Why the Sales Mix Changes the Break-Even — Toy Craft

Fixed costs are ₹ 12,90,000 per year. Toy Craft currently sells 200,000 toys per year.
AlligatorsDolphins
Sales Price₹ 20/-₹ 25/-
Variable Costs₹ 8/-₹ 10/-

Problem

A. Current sales: 140,000 alligators + 60,000 dolphins (mix 14:6). Assuming the mix stays constant, how many alligators and dolphins must the company sell to break even?

B. Current sales: 60,000 alligators + 140,000 dolphins (mix 6:14). Assuming the mix stays constant, how many must be sold to break even?

C. Explain why the total number of toys needed to break even in (a) differs from (b).

Toy Craft — flip the sales mix

Weighted average CM

₹ 12.90

= (₹ 12 × 0.7) + (₹ 15 × 0.3)

Total units to break even

1,00,000

₹ 12,90,000 ÷ ₹ 12.90

Alligators (CM ₹ 12)70,000 toys
Dolphins (CM ₹ 15)30,000 toys

Dolphins carry a higher contribution margin (₹ 15 vs ₹ 12) — tilt the mix towards them and the bar (and the break-even) shrinks.

Why the answer changes — the cause-effect

The break-even point is lower in scenario (b) (91,490 units) than in (a) (100,000 units) because the (b) mix has a higher proportion of dolphins (70% vs 30%). Dolphins have a higher contribution margin per unit (₹ 15) than alligators (₹ 12). A mix weighted toward higher-margin products raises the weighted average contribution margin, so fewer total units are needed to cover the fixed costs — lowering the break-even point in units.Parallel in real life: Wow! Momo earns far more per plate on its sizzler range than on classic steamed momos — a menu tilted toward sizzlers needs fewer plates sold to cover the rent.

Key Takeaways

Key Takeaways

  • Break-even point is where total revenue equals total expenses — neither profit nor loss.
  • Single-product BEP quantity = Fixed Expenses ÷ (Selling Price − Variable Cost per unit).
  • For multiple products, use the weighted average contribution margin = Σ (CM per unit × sales mix %).
  • BEP units of sales mix = Total Fixed Cost ÷ Weighted Average CM per unit; then allocate by mix ratio.
  • A mix weighted toward higher-margin products lowers the total units needed to break even.
  • So what? — Any menu, shelf or catalogue is a sales mix; the maths above is how real owners decide what to push.
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