Performance Management · Material mix and yield variances

How to Calculate the Material Mix Variance

Updated 11 October 2026 · Fact-checked

The material mix variance compares the actual quantity of each material used with the quantity you would have used if the total actual input had followed the standard mix. Multiply each difference by the standard price per unit. Standard-mix quantity above actual is favourable. Standard-mix quantity below actual is adverse.

Understand Calculating the Material Mix Variance

Many products use more than one material. The standard cost card sets a standard mix, for example 70% material A and 30% material B. In practice, the production team may use a different blend. They might use more of a cheap material, or more of an expensive one that is easier to handle.

The material mix variance isolates the cost effect of that change in blend. It answers one question: how much did the cost change because the proportions differed from standard, ignoring how much was used in total?

To do this, you hold the total actual input fixed. You then split that total in the standard proportions. This gives the actual total input in standard mix. You compare it with what was actually used, material by material. Each difference in kilograms or litres is valued at the standard price.

If you used more of a cheap material and less of a dear one than the standard mix implies, the cost is lower, so the variance is favourable. The reverse is adverse. Across all materials, the individual differences in quantity add up to zero, because the total input is the same on both sides. Only the prices make the money total non-zero.

A favourable mix variance is not automatically good news. A cheaper blend can lower quality or reduce yield. That is why the mix variance is read together with the yield variance.

Key rules to remember

Material mix variance (per material): (Actual total input × standard mix % − actual quantity used) × standard price per unit; Positive result is favourable. Negative result is adverse.
Actual input in standard mix: Total actual input of all materials × (standard quantity of that material ÷ total standard input per batch); Use the standard proportions from the cost card. Total input is the sum of all materials actually used.
Total mix variance (cost approach): Standard cost of actual input in standard mix − standard cost of actual input in actual mix; Gives the same total as adding the individual material variances. Use it as a check.
Average standard price per unit of input: Standard cost of one standard batch ÷ total standard input quantity of that batch; Useful for the yield variance and for checking your work.
Sum of quantity differences: Σ (standard-mix quantity − actual quantity) = 0; If your quantity differences do not add up to zero, you have made an error.

How to solve Calculating the Material Mix Variance questions

This method works for any mix variance question, whatever the number of materials.

1Write down the standard mix for each material, as quantities per batch and as percentages of the total, along with each standard price per unit.
2Add up the actual quantities used of all materials to get the total actual input.
3Split the total actual input in the standard proportions. This gives the actual input in standard mix for each material.
4For each material, subtract the actual quantity used from the standard-mix quantity. Check that these differences add up to zero.
5Multiply each difference by that material's standard price per unit.
6Label each result: a positive result (standard-mix quantity above actual use) is favourable, and a negative one is adverse. Add them to get the total mix variance.
7Check the total by costing the actual input at standard prices in both the standard mix and the actual mix. The gap must match your total.

Quickest way: Quantity differences at standard price

When to use it: Use this when the question gives actual quantities and a simple standard mix, and you must find the mix variance quickly.

Total the actual input and write it once.
Work out each standard-mix quantity as total input × percentage.
Calculate difference in kilograms: standard-mix quantity minus actual quantity. Confirm they sum to zero.
Multiply each difference by standard price and add the results.
Attach F or A to the total. Positive is F, negative is A.

Common mistakes in Calculating the Material Mix Variance

Using standard quantity for actual output instead of actual total input in standard mix
Students mix up mix and usage variances, because both compare actual use with a standard quantity.
Fix: For the mix variance, always start from total actual input. Only the yield variance deals with how much input the output should have needed.
Valuing the difference at actual price
The actual price is on the page and feels natural to use.
Fix: All mix variances are valued at standard price. Actual prices belong in the price variance.
Getting the sign the wrong way round
Students subtract standard-mix quantity from actual quantity, or forget what a positive result means.
Fix: Use standard-mix quantity minus actual quantity. If you used less than the standard-mix amount, the result is positive and favourable.
Quantity differences do not sum to zero
The percentages were calculated wrongly, or a material was left out of the total input.
Fix: Check that the percentages add to 100% and that total input includes every material. Then recompute the standard-mix quantities.
Reading a favourable mix variance as good performance
Favourable usually feels good.
Fix: A cheaper mix may cut yield or quality. Say this in written answers and refer to the yield variance.
Using the budget mix in a question that asks for the standard mix
Wording is similar, and some questions give both.
Fix: Read the standard cost card carefully. The mix variance uses the standard mix of the materials for one batch of output.

Worked examples

Example 1

A product has a standard mix of 70% material A (standard price $4 per kg) and 30% material B (standard price $10 per kg). In a period, 7,500 kg of A and 2,900 kg of B were used. Calculate the material mix variance for each material and in total.

Show the solution

Total actual input = 7,500 + 2,900 = 10,400 kg.
Actual input in standard mix: A = 70% × 10,400 = 7,280 kg. B = 30% × 10,400 = 3,120 kg.
Quantity differences (standard mix − actual): A = 7,280 − 7,500 = −220 kg, because 220 kg more A was used than the standard mix implies. B = 3,120 − 2,900 = +220 kg. These sum to zero.
Value at standard price: A = −220 × $4 = $880 adverse. B = +220 × $10 = $2,200 favourable.
Total = $2,200 − $880 = $1,320 favourable.
Check: actual input at standard price in actual mix = 7,500 × $4 + 2,900 × $10 = $30,000 + $29,000 = $59,000. Standard mix cost = 7,280 × $4 + 3,120 × $10 = $29,120 + $31,200 = $60,320. Difference = $1,320 favourable.

Answer: Material A mix variance $880 adverse, material B $2,200 favourable. Total material mix variance $1,320 favourable.

Example 2

A product uses three materials. Per 100 kg of standard input: X 50 kg at $2 per kg, Y 30 kg at $5 per kg, Z 20 kg at $10 per kg. In a period, actual input was X 5,000 kg, Y 3,000 kg and Z 2,500 kg. Calculate the total material mix variance and comment.

Show the solution

Total actual input = 5,000 + 3,000 + 2,500 = 10,500 kg.
Actual input in standard mix: X = 50% × 10,500 = 5,250 kg. Y = 30% × 10,500 = 3,150 kg. Z = 20% × 10,500 = 2,100 kg.
Differences (standard mix − actual): X = 5,250 − 5,000 = +250 kg. Y = 3,150 − 3,000 = +150 kg. Z = 2,100 − 2,500 = −400 kg. Sum = 0.
Value at standard price: X = 250 × $2 = $500 favourable. Y = 150 × $5 = $750 favourable. Z = −400 × $10 = $4,000 adverse.
Total = $500 + $750 − $4,000 = $2,750 adverse.
Check: actual mix at standard = $10,000 + $15,000 + $25,000 = $50,000. Standard cost per 100 kg = 50 × $2 + 30 × $5 + 20 × $10 = $100 + $150 + $200 = $450, so the average standard price = $4.50 per kg. Standard mix cost = 10,500 × $4.50 = $47,250. Actual mix costs $50,000 − $47,250 = $2,750 more, so adverse.
Comment: more of the expensive material Z was used than the standard mix allows, which explains the adverse total.

Answer: Total material mix variance is $2,750 adverse (X $500 F, Y $750 F, Z $4,000 A). It arises mainly because too much of the costly material Z was used.

Exam tips

Show the actual-input-in-standard-mix column clearly. In Section C, marks are often given for the method even if a number slips.
Always check that the quantity differences sum to zero before valuing them.
State F or A against every figure, and give a one-line meaning, such as more of the expensive material was used.
In multiple-choice questions, work out the sign carefully. Wrong options are often the right figure with the wrong label.
When asked to comment, link mix to yield and quality. A favourable mix variance may cause an adverse yield variance.

Practice questions from Material mix and yield variances

Calculating the Material Mix Variance in other exams

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

CMA FinalMaterial Cost Variances

Calculating the Material Mix Variance: frequently asked questions

What is the formula for the material mix variance?

For each material: (actual total input in standard mix − actual quantity used) × standard price per unit. Add the results for all materials. A positive total is favourable and a negative total is adverse.

Is a material mix variance adverse or favourable?

It is favourable if the actual mix cost less at standard prices than the standard mix would have for the same total input. It is adverse if the actual mix cost more. An adverse mix variance usually happens when more of an expensive material than standard was used; a favourable one when more of a cheap material was used.

What is the difference between mix and yield variances?

The mix variance looks at the proportions of materials used, holding total input fixed. The yield variance looks at whether total input produced the output expected from it. Together they make up the material usage variance.

Why do the quantity differences add up to zero?

Both the actual quantities and the standard-mix quantities total the same actual input. Any extra of one material must be offset by less of another. The money total is not zero because the materials have different prices.