IB Business Management HL Topic 6 — The Business Management Toolkit Papers 1, 2 & 3 HL only ~11 min read

Using Contribution Analysis

Contribution answers one question: when you sell one more unit, how much is left over after paying that unit’s own costs? Whatever is left goes towards the bills the business has to pay whether it sells anything or not. Get this idea and make-or-buy, break-even and product decisions all become easy.

📘 What you need to know

Where the money goes

What one sale is really made of Take the variable cost off the price and the rest contributes. SELLING PRICE $9.50 Variable cost $3.70 Contribution $5.80 1. Pays the fixed costs 2. Then it becomes profit Variable cost is gone as soon as you make it Contribution is what one sale adds after its own cost. Add up all the contributions, take off fixed costs, and that is profit.
Notice the order. Contribution does not become profit until every fixed cost has been covered, which is why break-even is just fixed costs divided by contribution.
The three formulas Contribution per unit = price − variable cost per unit
Total contribution = contribution per unit × units sold
Break-even units = fixed costs ÷ contribution per unit

Worked examples

WORKED EXAMPLE

Bright Batch sells its signature loaf for $9.50. Variable costs are $3.70 per loaf and fixed costs are $8,700 a month. Calculate the contribution per loaf, the break-even output, and the profit if it sells 2,400 loaves. [4 marks]

Step 1: contribution per unit $9.50 − $3.70 = $5.80 Step 2: break-even output $8,700 ÷ $5.80 = 1,500 loaves Step 3: total contribution at 2,400 loaves $5.80 × 2,400 = $13,920 Step 4: profit $13,920 − $8,700 = $5,220 $5.80 per loaf, break-even 1,500, profit $5,220 every loaf after number 1,500 adds a clean $5.80 of profit

Make or buy

Should a business produce something itself or order it from a supplier? Making it in-house is cheaper per unit but brings fixed costs. Buying it in costs more per unit but avoids those fixed costs. The answer depends on how many you expect to sell.

The break-even volume for making fixed costs ÷ (cost to buy − cost to make)
WORKED EXAMPLE

Loop Cycles can make its own brake pads for $4.20 a set or buy them for $5.00. Making them means $9,600 a year of extra fixed costs. Loop expects to use 7,000 sets a year. Advise Loop. [4 marks]

Step 1: saving per set if Loop makes them $5.00 − $4.20 = $0.80 Step 2: how many sets to cover the fixed costs $9,600 ÷ $0.80 = 12,000 sets Step 3: compare with expected volume Loop expects only 7,000 sets, which is well below the 12,000 needed [1]. Step 4: advise Loop should buy the pads from the supplier. Making them would leave roughly $4,000 of fixed costs uncovered [1]. Buy in: volume is too low to justify making the saving per unit is never the whole answer — volume decides it
Numbers are not the whole decision. Make or buy also depends on spare capacity, whether the business has the skills, how urgently the parts are needed, how reliable the supplier is, and whether exchange rates or import rules could push the buying price up.

Contribution costing versus absorption costing

PointContribution costingAbsorption costing
What is charged to a productDirect costs onlyDirect costs plus a share of the fixed costs
How fixed costs are treatedPaid by the business as a wholeSplit across products or departments
Best forComparing which product earns most per saleSetting prices that cover every cost
Main riskCan look profitable while fixed costs go unpaidThe split is a judgement, so a product can look worse than it is
Typical split methodNot applicableEqual shares, floor space, sales volume or number of staff
A product with positive contribution is worth keeping even if absorption costing shows it making a loss. It is still helping to pay the rent. Drop it and the rent does not go away — it just gets shared among fewer products.

How useful is contribution analysis?

StrengthWeakness
Simple to calculate and quick to compare productsAssumes variable cost per unit stays the same at every level of output
Shows which product earns most from each saleIgnores qualitative factors such as skills, quality and supplier reliability
Underpins break-even and make-or-buy decisionsSplitting costs into fixed and variable is not always clear-cut
Stops a business dropping a product that is helping pay the rentSays nothing about whether demand will actually be there
Works with limited data, which suits smaller firmsAbsorption methods can make the same product look profitable or not

💡 Exam tips

⚠ Common mix-ups

Up next: Using Critical Path Analysis — back to projects, and the tool that works out the shortest possible time and which tasks you absolutely cannot afford to delay.

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