How to approach it
- Items carry 1 to 2.5 marks: budget roughly 2 minutes per mark and do the higher-mark calculations carefully on the rough page.
- For learning curves, compute the cumulative average time for the total units, then multiply by the units.
- For joint products, check whether any product is processed further before split-off values are used.
Key rules to apply
- Learning curve: cumulative average time per unit = time for first unit × (cumulative units)^b, where b = log(learning rate) ÷ log 2.
- Landed cost includes purchase price, non-refundable duties and inward freight; adjustable (refundable) taxes are excluded.
- NRV at split-off for a product processed further = final sales value − further processing costs.
- Abnormal losses are valued like good output and written off to profit or loss.
Common mistakes
Drawn from the examiners' comments for this sitting (summarised in our words) and from typical errors on this topic.
- Multiplying the first-unit time by the learning rate per unit rather than applying the doubling rule.
- Loading an adjustable income tax into inventory cost.
- Allocating joint costs on final sales value when a product is processed further.
Similar question with worked solution
Written by us with our own numbers; it tests the same skills as Q1 without copying it.
Original practice question
Learning curve total
The first unit of a new product takes 50 labour hours. An 85% learning curve applies (b = −0.2345).
Required: Calculate the total hours for the first 20 units.
Worked solution
| Working | Value |
|---|---|
| Cumulative average time: 50 × 20^−0.2345 | 24.77 hours |
| Total for 20 units: 24.77 × 20 | 495.4 hours |
Answer: About 495 hours (versus 1,000 hours with no learning).
