Performance Management · Target costing

Target Costing with Learning Curve Effects in ACCA PM

Updated 11 October 2026 · Fact-checked

Target costing sets the maximum cost as target price minus target profit. With learning, labour time per unit falls as output doubles. Calculate the cumulative average time for the planned output, convert it to cost, add other costs, then compare the average unit cost with the target cost to find the gap.

Understand Target Costing with Learning Curve Effects

Target costing starts from the market. You take the price customers will pay, subtract the profit the business needs, and what is left is the target cost. The product must be made for no more than that.

The learning curve says that when a task is repeated, workers get faster. The usual model says the cumulative average time per unit falls by a fixed percentage each time total output doubles. An 80% learning rate means the average time after 2 units is 80% of the time for the first unit. After 4 units it is 80% of that again.

The two ideas meet because labour is part of the cost. If you cost every unit at the first-unit time, you overstate cost and may think the target cannot be met. Allowing for learning gives a lower, more realistic cost, so the target cost gap shrinks.

The gap is the estimated cost minus the target cost. A positive gap means the product costs too much and the business must close it. Learning reduces only the labour element. Materials and most overheads do not fall with learning unless the question says so.

The model assumes the learning effect is stable and applies only to labour-intensive work. It stops once the process becomes steady. If a question gives a learning period, apply the curve only within that period.

Key rules to remember

Target cost: Target cost = Target selling price − Target profit; Profit may be given as a margin on price or as a required return. Read which.
Target cost gap: Gap = Estimated cost − Target cost; A positive figure is a shortfall that needs closing. Do this per unit or in total, but be consistent.
Learning curve: Y = a × X^b; Y = cumulative average time (or cost) per unit for X units. a = time for the first unit. X = cumulative units.
Index of learning: b = log r ÷ log 2; r is the learning rate as a decimal, for example 0.8 for 80%. b is negative.
Doubling shortcut: Average after doubling = Previous average × r; Works only when output doubles: 1, 2, 4, 8, 16 and so on. Use it to avoid logs.
Total time: Total time for X units = Cumulative average time × X; Multiply by the labour rate per hour to get total labour cost.
Incremental time: Time for units (m+1) to n = Total for n units − Total for m units; Use this when the question asks about a later batch, not all units from the start.
Finding the rate: r = Average time at 2n units ÷ Average time at n units; Use the doubling relationship. If output rises four-fold, r² = ratio of averages.

How to solve Target Costing with Learning Curve Effects questions

Use this order for any question that links the learning curve to target cost. It keeps the labour calculation separate from the other costs.

1Work out the target cost per unit: target price minus target profit. If the question gives total volume, you may also want the total target cost.
2Identify the learning rate and the time for the first unit. If the rate is not given, calculate it from the data supplied.
3Decide the quantity the question needs. Is it the average for all units, or the cost of a later batch only?
4Calculate the cumulative average time. Use the doubling shortcut when output is 2, 4, 8, 16 and so on. Otherwise use Y = aX^b.
5Find total time (average × units). For a later batch, subtract the total time for the earlier units. Multiply by the labour rate to get labour cost.
6Add materials and other costs. Apply learning only to labour (and to any cost the question says varies with labour hours).
7Convert back to cost per unit if needed and compare with the target cost. Gap = estimated cost − target cost.
8State the conclusion and suggest ways to close any gap, such as cheaper materials, redesign, or better training to speed learning.

Quickest way: Doubling table method

When to use it: Use when the output in the question is a power of two (2, 4, 8, 16 and so on) and the learning rate is given. It avoids logarithms and is quick on a computer-based exam.

Write the first-unit time on the first line of a small table.
Multiply by the learning rate each time you double units: 1, 2, 4, 8, 16.
Read off the average time at your output level and multiply by units for total hours.
Price the hours, add non-labour costs, divide by units, and subtract the target cost.

Common mistakes in Target Costing with Learning Curve Effects

Applying the learning rate to the total cost, including materials.
The word 'learning' gets attached to the whole product rather than to labour time.
Fix: Apply the curve to labour hours only. Add materials and fixed overheads at their normal amounts unless told otherwise.
Treating 80% as a fall of 80%, so multiplying the time by 0.2.
Students read the rate as the reduction rather than what remains.
Fix: An 80% rate means the average becomes 80% of the previous figure each time output doubles. Multiply by 0.8.
Using the doubling shortcut when output is not a doubling, such as 6 or 10 units.
The table method is quick, so it gets used out of habit.
Fix: Use Y = aX^b with b = log r ÷ log 2 for any other quantity, or work between known doubling points only if the question allows it.
Treating the cumulative average time as the time for the last unit or batch.
The word 'average' is overlooked.
Fix: Find total time first (average × units). For a later batch, subtract the earlier total time from the new total.
Subtracting the target cost from the estimate the wrong way round, or mixing per-unit and total figures.
Time pressure and several numbers on screen.
Fix: Always do estimated cost minus target cost. Label each figure as per unit or total before you compare.
Giving a number with no conclusion on whether the target can be met.
Students stop once the arithmetic is finished.
Fix: Add one sentence: the gap is positive or negative, and what management could do about it.

Worked examples

Example 1

A company plans to make 8 units of a new product. The first unit needs 100 labour hours at $12 per hour. Materials cost $500 per unit. A learning rate of 80% applies to labour. The target cost is $1,000 per unit. Calculate the average cost per unit for 8 units and the target cost gap. Also calculate the labour hours for units 5 to 8.

Show the solution

Cumulative average time: 1 unit = 100 hours. 2 units = 80 hours. 4 units = 64 hours. 8 units = 51.2 hours (100 × 0.8³).
Total labour time for 8 units = 51.2 × 8 = 409.6 hours.
Labour cost = 409.6 × $12 = $4,915.20.
Materials = 8 × $500 = $4,000.
Total cost = $4,915.20 + $4,000 = $8,915.20. Average cost per unit = $8,915.20 ÷ 8 = $1,114.40.
Gap per unit = $1,114.40 − $1,000 = $114.40 over target.
Units 5 to 8: total time for 4 units = 64 × 4 = 256 hours. Time for units 5 to 8 = 409.6 − 256 = 153.6 hours.

Answer: Average cost is $1,114.40 per unit, so the target cost gap is $114.40 per unit ($915.20 in total). Units 5 to 8 need 153.6 labour hours. The target is not met, so the company must find savings.

Example 2

The first unit of a product takes 50 labour hours. The average time for the first 4 units is 32 hours per unit. Labour costs $20 per hour. Materials cost $300 per unit and other costs are $200 per unit. The company will make 16 units and the target cost is $900 per unit. Find the learning rate and decide whether the target cost is met.

Show the solution

Output rises from 1 to 4 units, which is two doublings. So r² = 32 ÷ 50 = 0.64.
r = √0.64 = 0.8, so the learning rate is 80%.
Average time for 16 units: 4 units = 32 hours. 8 units = 25.6 hours. 16 units = 20.48 hours (50 × 0.8⁴).
Average labour cost per unit = 20.48 × $20 = $409.60.
Total average cost per unit = $409.60 + $300 + $200 = $909.60.
Gap = $909.60 − $900 = $9.60 per unit. For 16 units this is 16 × $9.60 = $153.60.

Answer: The learning rate is 80%. The average cost is $909.60 per unit, which is $9.60 per unit ($153.60 in total) above the target cost. The target is not quite met. A small saving on materials or other costs would close the gap.

Exam tips

Check whether the question wants the average cost for all units or the cost of a later batch. Many marks are lost here.
Keep a clean doubling table on your workings sheet. It lets you check the answer and gives clear steps in a Section C answer.
In Section A and B objective questions, one wrong rounding step makes the whole answer wrong. Keep decimals until the final line.
In a Section C answer, show target cost, learning calculation, total cost and gap in separate labelled lines. Then add a short comment and two realistic ways to close the gap.
Read for hints about which costs fall with learning. If the question says overheads are based on labour hours, they may also fall.

Practice questions from Target costing

Target Costing with Learning Curve Effects in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Target Costing with Learning Curve Effects: frequently asked questions

How do I apply the learning curve to a target cost question?

Calculate the target cost first from price and profit. Then use the learning curve to find the average labour time per unit for the planned output, convert it to cost, and add other costs. Compare the result with the target cost to find the gap.

How do I calculate the learning rate in ACCA PM?

Compare the cumulative average time at two output levels where one is double the other. The rate is the later average divided by the earlier average. If output rises four-fold, the ratio equals the rate squared, so take the square root.

Does the learning curve apply to materials and overheads?

Normally no. It applies to labour time. Materials usually stay the same per unit. Overheads only fall if the question says they are driven by labour hours.

Why does the learning curve reduce the target cost gap?

Target costing compares expected cost with the target. Learning lowers the average labour time as output grows, so the expected cost per unit falls. A lower estimated cost means a smaller gap between the estimate and the target.