IB Business Management HL Topic 3 — Costs and Revenues Paper 1, 2 & 3 Core skill ~10 min read

Fixed, Variable, Direct and Indirect Costs

Costs are split in two different ways, and students constantly mash the two splits together. Fixed and variable is about whether a cost changes when output changes. Direct and indirect is about whether you can trace the cost to one particular product. Same costs, two different questions.

📚 What you need to know

Fixed costs and variable costs

Picture a candle maker. Every month she pays $1,200 rent, $150 insurance and $1,850 in salaries for her two full-time staff. That is $3,200 a month that leaves her account whether she makes 900 candles, 1,800 candles, or none at all. Those are her fixed costs.

Every candle also needs wax ($1.40), a wick ($0.20), a jar ($1.10) and a label ($0.30). That is $3.00 per candle, and it only happens when a candle is actually made. That is her variable cost.

The three cost equations Total variable cost = variable cost per unit × output
Total cost = fixed costs + total variable cost
Average cost per unit = total cost ÷ output
Fixed, variable and total cost Candle maker: $3,200 fixed per month, $3.00 variable per candle Cost ($) $3,200 TOTAL COST VARIABLE COST FIXED COST 0 Candles made per month The total cost line starts at $3,200, not at zero. The gap between the red and blue lines is always the fixed cost.
Three lines worth being able to sketch from memory: flat for fixed, up from the origin for variable, and total running parallel above variable, starting at the fixed cost.
If you are asked to draw this, get two things right and you will pick up the marks: the fixed cost line is horizontal, and the total cost line meets the vertical axis at the level of the fixed costs. Everything else is detail.
WORKED EXAMPLE

Total and average cost at 900 candles

The candle maker has fixed costs of $3,200 a month and variable costs of $3.00 per candle. In March she makes 900 candles. Calculate her total variable cost, total cost, and average cost per candle.

Step 1: Total variable cost $3.00 × 900 = $2,700 Step 2: Total cost $3,200 + $2,700 = $5,900 Step 3: Average cost per candle $5,900 ÷ 900 = $6.5555… TVC $2,700 · TC $5,900 · AC $6.56 round money answers to 2 decimal places unless told otherwise
WORKED EXAMPLE

What happens when output doubles

In April she makes 1,800 candles instead. Calculate the new total cost and average cost, and explain why the average cost has changed.

Step 1: New total variable cost $3.00 × 1,800 = $5,400 Step 2: New total cost $3,200 + $5,400 = $8,600 Step 3: New average cost $8,600 ÷ 1,800 = $4.7777… TC $8,600 · AC $4.78 output doubled but total cost did not, because the $3,200 was shared over twice as many candles

Why making more makes each unit cheaper

This is the idea behind the numbers above, and it is worth a diagram of its own. The fixed costs do not grow when output grows, so each extra unit made carries a smaller slice of them.

The same fixed costs, cut into more slices Each bar is the same $3,200. Only the number of slices changes. 900 CANDLES A MONTH 1,800 CANDLES A MONTH $3,200 of fixed costs $3,200 of fixed costs $3.56 $1.78 of fixed cost in every candle of fixed cost in every candle Variable cost per candle stays at $3.00 in both cases. Only the fixed cost slice shrinks, and that is what pulls average cost down.
This is the idea behind economies of scale, and it is also why a factory running at half capacity is so expensive to operate.

Direct and indirect costs

This is a completely separate split, and it asks a different question: can you trace this cost to one particular product?

Cost in a chocolate factoryFixed or variable?Direct or indirect?
Cocoa and milkVariableDirect
Wrappers and boxesVariableDirect
Factory rentFixedIndirect
Marketing manager’s salaryFixedIndirect
Wages of workers on the truffle lineVariableDirect
Building insuranceFixedIndirect
The two splits overlap but are not the same. Most direct costs are variable and most indirect costs are fixed, so people assume they are the same thing. They are not. A supervisor paid a fixed salary to run one production line is a fixed cost and a direct cost.
In an exam, read the question wording carefully. “Classify these costs” is not the same instruction as “identify the fixed costs”. If the question uses the words direct and indirect, do not answer with fixed and variable.

🧩 How to classify any cost in seconds

  1. Ask: if output doubled, would this bill get bigger? Yes → variable. No → fixed.
  2. Then ask: can I point at one product and say this cost belongs to it? Yes → direct. No → indirect.
  3. Answer only the question asked. Do not give both splits unless both were requested.
  4. Watch for traps: electricity used by machines is variable; electricity lighting the offices is fixed.

💡 Exam tip

⚠ Common mix-up

Up next: Revenue and Revenue Streams — the other side of the equation, and where the money actually comes in from.

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