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Joint Product Costing

CIMA Free Mock Exam

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.

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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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Physical units basis

Joint costs of the process

$

Materials (3,500 kg)

5,000

Labour and overheads

2,300

7,300

Less: proceeds of by-product X

500 kg × $0.20

(100)

Joint cost to be apportioned

7,200

Joint product output

kg

Product A

1,000

Product B

2,000

3,000

The by-product’s 500 kg is excluded: it has been dealt with by the deduction and takes no share of the cost.

Cost per kg = $7,200 ÷ 3,000 kg = $2.40 per kg for both A and B

Per kg

A $

B $

Selling price

5.00

2.00

Cost

(2.40)

(2.40)

Profit / (loss) per kg

2.60

(0.40)

B reports a loss of 40 cents a kilogram — and there is nothing management can do about it, because B cannot be discontinued. A and B come out of the same process; stop making B and you stop making A. Overall the two together earn (1,000 × $2.60) − (2,000 × $0.40) = $2,600 − $800 = $1,800 on the month’s production, which is $9,000 of sales value less $7,200 of net joint cost.

That is the weakness of the physical units basis: it gives the same cost to a $5 product and a $2 product, so a low-priced joint product will report a loss month after month and invite a decision that cannot be taken. It is also the reason for the next basis.

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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Sales value (market value) basis

(a)

Joint costs of the process

$

Materials (3,500 kg)

5,000

Labour and overheads

2,300

7,300

Less: proceeds of by-product X

500 kg × $0.20

(100)

Joint cost to be apportioned

7,200

Sales value of production

$

A

1,000 kg × $5

5,000

B

2,000 kg × $2

4,000

9,000

Apportionment of the $7,200:

A = 5,000 ÷ 9,000 × $7,200 = $4,000 for 1,000 kg

B = 4,000 ÷ 9,000 × $7,200 = $3,200 for 2,000 kg

Cost per kg:

A = $4,000 ÷ 1,000 kg = $4.00 per kg

B = $3,200 ÷ 2,000 kg = $1.60 per kg

Per kg

A $

B $

Selling price

5.00

2.00

Cost

(4.00)

(1.60)

Profit per kg

1.00

0.40

Both products now report a profit, and both report the same margin of 20% — which is not a coincidence. The basis gives every product the same ratio of cost to sales value ($7,200 ÷ $9,000 = 80%), so it must give every product the same gross margin percentage. That is exactly why it removes the reporting problem the physical units basis creates, and also why it tells you nothing new about the relative merits of the products.

(b) The sales quantities play no part in the apportionment, which is made on production. They are used afterwards, to split the cost of the output between cost of sales and closing inventory.

A

B

Total $

Sales revenue: 800 × $5 / 1,500 × $2

4,000

3,000

7,000

Cost of sales: 800 × $4.00 / 1,500 × $1.60

(3,200)

(2,400)

(5,600)

Profit for the period

800

600

1,400

Closing inventory: 200 × $4.00 / 500 × $1.60

800

800

1,600

The check is that the whole of the $7,200 has been accounted for: $5,600 charged to cost of sales and $1,600 carried in inventory.

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.

Show answerHide answer

Net realisable value basis

(a)

Joint costs of the process

$

Materials (3,500 kg)

5,000

Labour and overheads

2,300

7,300

Less: proceeds of by-product X

500 kg × $0.20

(100)

Joint cost to be apportioned

7,200

Net realisable value of production

$

A

1,000 kg × ($8.40 − $4.80)

3,600

B

2,000 kg × ($4.50 − $2.20)

4,600

8,200

Apportionment of the $7,200, to the nearest dollar:

A = 3,600 ÷ 8,200 × $7,200 = $3,161 for 1,000 kg

B = 4,600 ÷ 8,200 × $7,200 = $4,039 for 2,000 kg

Joint cost per kg:

A = $3,161 ÷ 1,000 kg = $3.16 per kg

B = $4,039 ÷ 2,000 kg = $2.02 per kg

(b) The further processing costs are now added back:

Per kg

A $

B $

Share of joint cost

3.16

2.02

Further processing

4.80

2.20

Total cost of the finished product

7.96

4.22

Selling price

8.40

4.50

Profit per kg

0.44

0.28

As in example 2 the basis equalises a margin, but this time it is the margin on the net realisable value and not on the final selling price: $0.44 ÷ $3.60 and $0.28 ÷ $2.30 are both 12.2%, because $7,200 ÷ $8,200 = 87.8% for both. The margins on the final price (5.2% and 6.2%) differ, because the further processing costs are not in the same proportion.

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.

Practice questions

Joint Product Costing

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