Performance Management · Material mix and yield variances

Reconciling Mix, Yield and Usage Variances in ACCA PM

Updated 11 October 2026 · Fact-checked

The material mix variance plus the material yield variance equals the total material usage variance. Mix compares the actual input mix with the standard mix. Yield compares total actual input with the standard input allowed for the output. Calculate usage separately to check your answer.

Understand Reconciling Mix, Yield and Usage Variances

A product often uses several materials in a set standard mix. The standard also allows for normal loss, so a given input produces a set output. Material usage variance asks one question: did we use more or less material than the standard allowed for the actual output, valued at standard prices?

That single figure hides two causes. First, you may have used the materials in a different proportion from the standard. That is the mix variance. Second, the total input may be higher or lower than the standard allows for the output you achieved. That is the yield variance.

The two split the usage variance cleanly, so mix + yield = usage every time. This gives you a built-in check. Work out usage the direct way, then work out mix and yield. If they do not add up, one of them is wrong.

Price is separate. Usage, mix and yield all use standard prices. Price variance uses the actual price paid against the standard price, on the actual quantity bought. Do not mix the two.

Sign convention: a positive figure (standard less actual) is favourable. A negative figure is adverse. Use the same convention for all three variances so they add up.

Key rules to remember

Reconciliation rule: Material mix variance + Material yield variance = Material usage variance; Holds when all three use standard prices and the same actual and standard quantities. Use it as a check.
Material usage variance (each material): (Standard quantity for actual output − Actual quantity used) × Standard price; Standard quantity is the standard input for actual output, not the budgeted output.
Material mix variance (each material): (Actual total input in standard mix − Actual input of that material) × Standard price; Actual total input is the sum of all materials actually used. Share it out in standard proportions.
Material yield variance: (Standard total input for actual output − Actual total input) × Average standard cost per unit of input; Average standard cost per unit of input = standard cost of one batch ÷ total input in the batch.
Standard input for actual output: Actual output ÷ (Standard output ÷ Standard input); This allows for the normal loss in the standard.
Material price variance: (Standard price − Actual price) × Actual quantity purchased or used; Kept apart from usage, mix and yield. Use the quantity your question bases price on.

How to solve Reconciling Mix, Yield and Usage Variances questions

Use the same layout for any mix and yield question. Put the numbers in a small table so you can check every column.

1Write the standard for one batch: each material's quantity, standard price and cost, the total input, total standard cost and standard output. Work out the average standard cost per unit of input.
2Find the standard input for the actual output: actual output ÷ (standard output ÷ standard input). Share it between materials in the standard proportions.
3List the actual quantity of each material used and the actual total input.
4Calculate the usage variance for each material: (standard quantity − actual quantity) × standard price. Add them up.
5Calculate the mix variance: share the actual total input in the standard proportions, then (that figure − actual quantity) × standard price for each material. Add them up.
6Calculate the yield variance: (standard total input − actual total input) × average standard cost per unit of input.
7Check that mix + yield = usage. Label every figure as favourable (F) or adverse (A) and add a short comment on the cause if the question asks for one.
8If price is asked for, calculate it separately from actual cost and standard cost of the actual quantity. Do not include it in the reconciliation.

Quickest way: Calculate usage and yield, then find mix by difference

When to use it: Use when time is short in a Section C question. You must still show mix workings if asked for them, so use this as a check or fallback.

Work out the standard input for actual output and the standard quantity of each material.
Total the usage variance across materials using standard prices.
Calculate the yield variance using the average standard cost per unit of input.
Mix = usage − yield. Then check one material column to confirm the sign.
For an objective test question, only one figure is usually asked. Calculate only that one and check that the sign matches the direction of the result (more input used than standard means adverse yield).

Common mistakes in Reconciling Mix, Yield and Usage Variances

Using budgeted output instead of actual output to find the standard quantity.
The standard batch is in the question and students use it without flexing.
Fix: Always scale the standard to actual output first. Standard input = actual output ÷ output per unit of input.
Applying the yield variance to actual output or using the price of a single material.
Students forget that yield is about total input and needs an average cost.
Fix: Use the average standard cost per unit of input (batch cost ÷ total input) for yield. Do not use output cost unless the question defines yield in output terms.
Using actual prices in mix, yield or usage variances.
Students mix these up with the price variance.
Fix: Use standard prices throughout for usage, mix and yield. Actual prices appear only in the price variance.
Sharing the standard total input, not the actual total input, in the mix calculation.
Both totals are on the page and look similar.
Fix: Mix compares the same total in two proportions. Use the actual total input shared in the standard proportions.
Mixing signs so that mix and yield do not add to usage.
Students switch between actual − standard and standard − actual.
Fix: Always use standard minus actual so that positive is favourable. Then the three figures add directly.
Treating a favourable mix variance as good news without checking yield.
Students read each variance on its own.
Fix: Read mix and yield together. A cheaper mix can give a worse yield, as the examples show.

Worked examples

Example 1

A product has this standard per batch: 60 kg of Material A at $5 per kg ($300) and 40 kg of Material B at $8 per kg ($320). Total input is 100 kg costing $620, and standard output is 90 kg. In a period, actual output was 4,500 kg. Actual input was 3,300 kg of A and 2,100 kg of B. Calculate the material usage, mix and yield variances and show they reconcile.

Show the solution

Average standard cost per kg of input = $620 ÷ 100 = $6.20.
Standard input for actual output = 4,500 ÷ 0.9 = 5,000 kg. Standard quantities: A = 60% × 5,000 = 3,000 kg; B = 40% × 5,000 = 2,000 kg.
Usage: A = (3,000 − 3,300) × $5 = $1,500 A. B = (2,000 − 2,100) × $8 = $800 A. Total usage = $2,300 A.
Actual total input = 3,300 + 2,100 = 5,400 kg. In standard mix: A = 3,240 kg; B = 2,160 kg.
Mix: A = (3,240 − 3,300) × $5 = $300 A. B = (2,160 − 2,100) × $8 = $480 F. Total mix = $180 F.
Yield = (5,000 − 5,400) × $6.20 = $2,480 A.
Check: $180 F + $2,480 A = $2,300 A, which equals the usage variance.

Answer: Usage $2,300 adverse; mix $180 favourable; yield $2,480 adverse. Mix + yield = usage.

Example 2

A standard batch uses 30 litres of X at $4 per litre ($120) and 20 litres of Y at $9 per litre ($180). Total input is 50 litres costing $300, and standard output is 45 litres. Actual output was 9,000 litres. Actual input was 6,400 litres of X and 3,800 litres of Y. Calculate the usage, mix and yield variances, check they reconcile and comment briefly.

Show the solution

Average standard cost per litre of input = $300 ÷ 50 = $6.
Standard input = 9,000 ÷ 0.9 = 10,000 litres. Standard quantities: X = 60% × 10,000 = 6,000; Y = 40% × 10,000 = 4,000.
Usage: X = (6,000 − 6,400) × $4 = $1,600 A. Y = (4,000 − 3,800) × $9 = $1,800 F. Total usage = $200 F.
Actual total input = 6,400 + 3,800 = 10,200 litres. In standard mix: X = 6,120; Y = 4,080.
Mix: X = (6,120 − 6,400) × $4 = $1,120 A. Y = (4,080 − 3,800) × $9 = $2,520 F. Total mix = $1,400 F.
Yield = (10,000 − 10,200) × $6 = $1,200 A.
Check: $1,400 F + $1,200 A = $200 F, which equals the usage variance.
Comment: more of the cheaper material X and less of the dearer Y gave a favourable mix. But total input was 200 litres above standard, which gave an adverse yield. The net saving is small, so check whether quality was harmed.

Answer: Usage $200 favourable; mix $1,400 favourable; yield $1,200 adverse. The cheaper mix was largely offset by lower yield.

Exam tips

In a Section C answer, show the standard table, the standard quantity workings and the actual mix workings. Method marks are given even when a figure is wrong.
Always add a reconciliation line (mix + yield = usage). It catches errors and shows the marker you understand the link.
For objective test questions, calculate only what is asked, but check the direction first. Using more input than standard means adverse yield.
When asked to comment, link mix and yield. Say whether a cheaper mix cost output or quality, and who is responsible.
Label every variance as F or A. An unlabelled figure may lose the mark.

Practice questions from Material mix and yield variances

Reconciling Mix, Yield and Usage Variances in other exams

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

ACCA Applied KnowledgeMaterial Price and Usage Variances

Reconciling Mix, Yield and Usage Variances: frequently asked questions

Does mix variance plus yield variance always equal usage variance?

Yes, when all three are calculated at standard prices from the same actual and standard quantities. Mix is the effect of the proportions used, and yield is the effect of the total quantity used. Together they make up the usage variance.

Is price variance part of the reconciliation?

No. Price compares actual and standard price. Usage, mix and yield are all at standard prices. Add price to the usage variance to get the total material cost variance.

Which average cost do I use for the yield variance?

Use the standard cost of one batch divided by the total standard input in the batch. This is the average standard cost per unit of input. Keep it at standard cost, not actual.

What if the mix and yield do not add up to usage?

Check that you used actual output to flex the standard, and that the mix shares out the actual total input. Also check that you used standard minus actual in every column. The most common error is using the wrong total in one calculation.