Joint Product Costing
1 Introduction
Some processes cannot help producing more than one product. Refining crude oil yields petrol, diesel and bitumen together; crushing an oilseed yields oil and meal together; distilling a scent yields a strong concentrate and a weaker one. Up to the point where the outputs become separately identifiable there is one set of costs and no way of saying which part of it belongs to which product — because the products were not made separately.
Three terms
Joint products — two or more products of the same process, each with a significant sales value. None of them is incidental; the process is run in order to get them.
By-product — an output of the same process with a relatively low sales value, produced incidentally. Closer to saleable waste than to a product the process exists to make.
Split-off point (or point of separation) — the point in the process at which the outputs become separately identifiable. Costs incurred up to it are joint costs; costs incurred on one product after it are further processing costs and belong to that product alone.
The distinction between a joint product and a by-product is one of relative sales value, and it is a matter of judgement rather than of rule. It matters because the two are accounted for in completely different ways.
One recording covers this chapter. It explains joint products and by-products with a perfume-and-toilet-water illustration, then works all three examples — physical units, sales value and net realisable value — and shows why B’s loss under the first basis is not a reason to stop making B. Two points before you play it.
Check one figure against Answer 3: on the net realisable value basis A’s share of the joint cost is $3,161 and B’s is $4,039 (4,600 ÷ 8,200 × $7,200), giving $3.16 and $2.02 a kg.
Coverage: Example 2(b) — using the sales quantities to split cost of sales from closing inventory — and the sell-or-process-further decision in section 7.1 are worked only in these notes.
2 Why a cost per unit is needed at all
There is no correct way to split a joint cost, because the products are made together: no part of the material can be traced to one output rather than another. Any apportionment is therefore arbitrary. It is still needed, for two of the four rationales for costing set out in chapter 1:
inventory valuation — unsold output has to be carried at cost, and each joint product is a separate line of inventory;
profit reporting — a cost of sales figure is needed for each product before a profit per product can be reported.
An apportioned joint cost is valid for those two purposes and for nothing else. It must never be used to decide whether to make a product, whether to withdraw one, or whether to process one further, because the amount apportioned to a product changes with the basis chosen and does not change with the decision. Section 7 works an example of the trap. Chapter 14 sets out the relevant-costing rules properly.
3 The accounting treatment
Two steps, in this order.
3.1 Step 1 — deal with the by-product
Because the by-product is not what the process exists to produce, its proceeds are deducted from the joint costs of the process, so that only the net cost is left to be shared between the joint products. Deducting the proceeds is equivalent to treating them as a negative cost; the by-product is never given a share of the joint cost, and no profit is reported on it.
The proceeds deducted are the proceeds of the by-product output for the period. Where the by-product needs work of its own before it can be sold, it is the net proceeds — sales value less the further costs — that are deducted.
An alternative treatment sometimes met is to credit by-product proceeds to sales revenue as other income. That leaves the joint cost unreduced and reports a different profit for each joint product, though the same profit overall. Unless a question directs otherwise, deduct the proceeds from the joint cost.
3.2 Step 2 — apportion the net joint cost
The remaining cost is shared between the joint products on one of three bases:
physical units — the same cost per unit of output for every joint product (section 4);
sales value at the split-off point, often called the market value basis (section 5);
net realisable value, where there is no market at the split-off point (section 6).
The apportionment is always made on the units produced, never on the units sold. What has been sold affects the cost of sales and the closing inventory afterwards; it has nothing to do with sharing a cost that was incurred to produce everything that came out of the process.
4 Physical units basis
The net joint cost is divided by the total physical output of the joint products, giving one cost per unit that is applied to all of them.
Cost per unit = Joint cost less by-product proceeds ÷ Total units of joint product output
It is the simplest basis and it is defensible where the joint products are physically similar and are measured in the same units. It breaks down where they are not: there is no sensible way to add kilograms of one product to litres of another.
Its real weakness is what it does to reported profit, and example 1 is built to show it.
Physical units basis
During August, the following costs were incurred in a process:
Materials (3,500 kg) | $5,000 | |
Labour and overheads | $2,300 |
The production from the process was as follows:
kg | ||
Product A | 1,000 | selling price $5 per kg |
Product B | 2,000 | selling price $2 per kg |
by-product X | 500 | scrap value $0.20 per kg |
Calculate a cost per kg and a profit per kg for A and B using the physical units basis.
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5 Sales value at the split-off point
Here the cost is shared in proportion to what each product is worth, so that a product with a high selling price is given a correspondingly high cost.
Joint cost apportioned = Net joint cost × (sales value of that product produced ÷ total sales value of production)
The sales value used is the value of what was produced, not of what was sold, and it is the value at the split-off point — the price the product could be sold for as it leaves the joint process.
Sales value (market value) basis
During August, the following costs were incurred in a process:
Materials (3,500 kg) | $5,000 | |
Labour and overheads | $2,300 |
The production from the process was as follows:
kg | ||
Product A | 1,000 | selling price $5 per kg |
Product B | 2,000 | selling price $2 per kg |
by-product X | 500 | scrap value $0.20 per kg |
Sales during the period were 800 kg of A and 1,500 kg of B.
(a) Calculate a cost per kg and a profit per kg for A and B using the market value basis.
(b) Calculate the profit for the period and the value of the closing inventory.
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6 Net realisable value basis
The market value basis needs a selling price at the split-off point, and often there is none: the products cannot be sold as they leave the process because each needs work of its own first. Bottling, refining, grading and packing are all examples.
In that case the net realisable value at the split-off point is used as a substitute for a market price:
Net realisable value = Final selling value − Further processing costs after the split-off point
The apportionment is then made exactly as in section 5, with net realisable value in place of sales value. It is not a third method so much as the second method with an imputed price.
The apportioned figure is the share of the JOINT cost only. Where a question asks for the cost per unit of the finished product, the further processing costs have to be added back on afterwards — they were deducted to impute a split-off value, not because they had disappeared.
Net realisable value basis
During September the following costs were incurred in a process:
Materials (3,500 kg) | $5,000 | |
Labour and overheads | $2,300 |
The production from the process was as follows:
kg | ||
Product A | 1,000 | selling price $8.40 per kg |
Product B | 2,000 | selling price $4.50 per kg |
by-product X | 500 | scrap value $0.20 per kg |
All the output of A and B incurred further processing at a cost of $4.80 per kg for A and $2.20 per kg for B.
(a) Calculate the share of the joint cost per kg for A and B using the net realisable value approach.
(b) Calculate the total cost per kg and the profit per kg of the finished products.
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7 Choosing a basis, and what an apportionment may be used for
Basis | Use it when | What it does to reported profit |
Physical units | The joint products are physically similar and measured in the same units, and their selling prices are not far apart. | Gives every product the same cost per unit, so a low-priced product can report a loss it can do nothing about. |
Sales value at the split-off point | There is a market price at the split-off point. | Gives every product the same gross margin percentage on the final price. |
Net realisable value | There is no market at the split-off point because each product needs further processing first. | Gives every product the same margin percentage on its net realisable value. |
None of the three is more correct than the others. They differ only in how they spread a cost that cannot be traced, and the choice changes each product’s reported profit without changing the total.
7.1 Why the apportionment must not drive a decision
The apportioned cost is incurred whichever decision is taken, so it is not relevant to any of them. The point is easiest to see on a decision to process a product further.
Sell at the split-off point, or process further?
A process produces 4,000 litres of product P. P can be sold at the split-off point for $6 a litre, or refined at a cost of $9,000 and sold for $8 a litre. Joint costs of $14,000 have been apportioned to P.
$ | ||
Incremental revenue from refining | 4,000 × ($8 − $6) | 8,000 |
Incremental cost of refining | (9,000) | |
Net effect of refining | (1,000) |
Refining loses $1,000, so P should be sold at the split-off point. The $14,000 of apportioned joint cost appears nowhere in the calculation, because it is incurred whether P is refined or not — and a different apportionment basis would have produced a different figure without changing the decision by a cent. Chapter 14 develops this as relevant costing.
8 Test your knowledge
Two quick checks before you move on: work through the flashcards to fix this chapter’s key terms and definitions, then sit the objective questions for exam-style practice. Both mark themselves and explain the answers as you go.
Joint Product Costing
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