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Introduction
1. External financial reporting decisions
2. Planning, budgeting, and forecasting
3. Performance management
4. Cost management
5. Internal control
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3.1.4.3.1 Overview of materials cost variance formula
Achievable CMA Part 1
3. Cost and variance measures
3.1. Management by exception and standard cost systems
3.1.4. Material cost variance
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Overview of materials cost variance formula

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Material cost variance is the total difference between the standard cost of materials and the actual cost incurred for materials.

The general formula for this is expressed below:

Material cost variance=(Standard quantity×Standard price)−(Actual quantity×Actual price)

A positive result is favorable (actual cost below standard); a negative result is unfavorable.

It should be noted that the Standard quantity used in this formula is not the same as the quantity in the master budget. Explained simply, this is the standard quantity of materials expected to be used based on actual production volume achieved. It will be explained further when we discuss the materials usage variances.

Example: Total materials cost variance

A company budgeted 9,000 units but produced 10,000, with a standard of 2 kg/unit at $3/kg. Actual usage was 20,500 kg at $2.90/kg.

Standard quantity (flexed to actual output): 10,000×2=20,000 kg.

Standard cost $60,000 − actual cost $59,450 = $550 favorable.

Answer: $550 favorable; the price and usage variance chapters split this further.

The materials cost variance is broken down into different variances in order to isolate the sources of the deviations from the standard costs and usage. The variance is coming mainly from two sources:

  1. differences between standard price versus actual price paid for materials (materials price variance); and
  2. the differences between the standard consumption versus the actual consumption (materials usage variance). The usage variance can be further broken down when there are more than one direct materials used in production as this also impacts total costs.

When more than one material is used, this split is called the mix variance and the yield variance (covered in the next chapter).

Breakdown of materials cost variance
Breakdown of materials cost variance
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Overview of variance formula

When the quantity of materials used in production matches the quantity purchased, the total of all calculated variances should equal the overall materials cost variance. This provides a useful way to verify the accuracy of your calculations by comparing the sum of the individual variances to the total materials cost variance.

Price variance plus usage variance equals the total variance; mix plus yield equals the usage variance.

Formulas break direct materials cost variance into price, usage, mix, and yield variances.
Direct materials variances
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Material Cost Variance Basics

  • Formula: Material cost variance=(Standard quantity×Standard price)−(Actual quantity×Actual price)
  • Positive = favorable (actual cost below standard); negative = unfavorable
  • Standard quantity = standard usage flexed to actual production output, not the master budget quantity

Worked Example

  • Flex standard quantity to actual output: actual units×standard qty per unit
  • Compare flexed standard cost vs. actual cost to find total variance
  • Example result: $550 favorable (actual cost came in below flexed standard cost)

Decomposing the Variance

  • Total materials cost variance splits into two main drivers:
    • Materials price variance – difference between standard and actual price paid
    • Materials usage variance – difference between standard and actual quantity consumed
  • When multiple direct materials are used, usage variance further splits into:
    • Mix variance
    • Yield variance

Variance Verification

  • If quantity purchased = quantity used, sum of price + usage variances = total materials cost variance
  • Sum of mix + yield variances = usage variance
  • Useful as a check for calculation accuracy across variance components

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Next  | 3.1.4.3.2 Materials price variance
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Overview of materials cost variance formula

Material cost variance is the total difference between the standard cost of materials and the actual cost incurred for materials.

The general formula for this is expressed below:

Material cost variance=(Standard quantity×Standard price)−(Actual quantity×Actual price)

A positive result is favorable (actual cost below standard); a negative result is unfavorable.

It should be noted that the Standard quantity used in this formula is not the same as the quantity in the master budget. Explained simply, this is the standard quantity of materials expected to be used based on actual production volume achieved. It will be explained further when we discuss the materials usage variances.

Example: Total materials cost variance

A company budgeted 9,000 units but produced 10,000, with a standard of 2 kg/unit at $3/kg. Actual usage was 20,500 kg at $2.90/kg.

Standard quantity (flexed to actual output): 10,000×2=20,000 kg.

Standard cost $60,000 − actual cost $59,450 = $550 favorable.

Answer: $550 favorable; the price and usage variance chapters split this further.

The materials cost variance is broken down into different variances in order to isolate the sources of the deviations from the standard costs and usage. The variance is coming mainly from two sources:

  1. differences between standard price versus actual price paid for materials (materials price variance); and
  2. the differences between the standard consumption versus the actual consumption (materials usage variance). The usage variance can be further broken down when there are more than one direct materials used in production as this also impacts total costs.

When more than one material is used, this split is called the mix variance and the yield variance (covered in the next chapter).

Overview of variance formula

When the quantity of materials used in production matches the quantity purchased, the total of all calculated variances should equal the overall materials cost variance. This provides a useful way to verify the accuracy of your calculations by comparing the sum of the individual variances to the total materials cost variance.

Price variance plus usage variance equals the total variance; mix plus yield equals the usage variance.

Key points

Material Cost Variance Basics

  • Formula: Material cost variance=(Standard quantity×Standard price)−(Actual quantity×Actual price)
  • Positive = favorable (actual cost below standard); negative = unfavorable
  • Standard quantity = standard usage flexed to actual production output, not the master budget quantity

Worked Example

  • Flex standard quantity to actual output: actual units×standard qty per unit
  • Compare flexed standard cost vs. actual cost to find total variance
  • Example result: $550 favorable (actual cost came in below flexed standard cost)

Decomposing the Variance

  • Total materials cost variance splits into two main drivers:
    • Materials price variance – difference between standard and actual price paid
    • Materials usage variance – difference between standard and actual quantity consumed
  • When multiple direct materials are used, usage variance further splits into:
    • Mix variance
    • Yield variance

Variance Verification

  • If quantity purchased = quantity used, sum of price + usage variances = total materials cost variance
  • Sum of mix + yield variances = usage variance
  • Useful as a check for calculation accuracy across variance components

More from Material cost variance

  • Materials price variance
  • Materials usage variances
  • Materials cost variance scenario: One type of DM
  • Materials cost variance scenario: Multiple DMs