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Standard Costing and Basic Variance Analysis

CIMA Free Mock Exam

1 Introduction

In the chapter on budgeting we identified the budget as a means of controlling an organisation. By comparing budgeted figures with actual results, areas can be identified that may need corrective action, and problems can be addressed in an attempt to control future outcomes.

This chapter deals with the setting of standard costs, which form the basis of those budgeted figures, and with the calculation and interpretation of the basic variances that arise when actual results differ from them.

What this chapter serves. It carries syllabus outcome A3b (standard costing) and the whole of A3c, variance analysis (without mix and yield variance) — the topics named as price and rate variances, usage and efficiency variances, and interpretation of variances. It also supplies the flexed budget that section B3 relies on.

Scope note

The 2027 syllabus wording for A3c is “Variance analysis (without mix and yield variance)”. Mix and yield variances are therefore not examinable in P1; they are met at P2. Nothing in this chapter or the next relies on them.

All basic variances — calculation and interpretation — are examinable. The formulae are set out in full in section 3.2. Planning and operational variances, and activity based costing variances, are an extension of this material and are dealt with in the next chapter.

2 Standard costs

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Standard cost

A standard cost is an estimated unit cost. It is determined in advance, from expected resource usage valued at expected resource prices.

A standard costing system uses these predetermined values to estimate income and expenditure under standard conditions. It was developed primarily for manufacturing, although it can be applied to services, and was designed for environments in which there is mass production of homogeneous products.

The standard costs form the basis of the budget totals, which can then be compared with actual results as part of the performance management process.

2.1 The standard cost card

The standard cost card sets out the standard prices and the standard usage or efficiency rates expected to produce one unit. Any deviation from those expected rates produces a variance, favourable or adverse.

Standard cost card for Product X

$ per unit

Selling price

100

Materials

2 kg @ $20 per kg

(40)

Labour

1.5 hrs @ $2 per hr

(3)

Variable overheads

1.5 hrs @ $6 per hr

(9)

Fixed overheads

1.5 hrs @ $10 per hr

(15)

Standard cost of production

(67)

Standard profit per unit

33

This card is drawn up on an absorption costing basis: fixed overheads are absorbed into the unit cost, so the figure struck is a standard profit per unit. On a marginal costing basis the fixed overhead line is omitted and the figure struck is a standard contribution per unit — here $100 − $52 = $48.

2.2 Uses of standard costing

  • inventory valuation, for internal and for external reporting;

  • as a basis for pricing decisions;

  • for budget preparation;

  • for budgetary control;

  • for performance measurement;

  • for motivating staff, by using the standards as targets.

2.3 Limitations of standard costing

  • obtaining appropriate standards can be difficult;

  • standards may differ depending on their purpose (see section 2.5);

  • standard costing is less useful where the environment does not involve mass production of homogeneous items;

  • it can lead to an over-emphasis on quantitative measures of performance at the expense of qualitative ones such as customer satisfaction, quality and employee morale;

  • traditional standards are based on the entity’s own costs. A more modern approach is benchmarking, which measures against the best practice of other organisations.

Standard costing was designed for a stable, repetitive manufacturing environment. Where production is just-in-time, where quality is managed to a zero-defect target, or where product life cycles are short, standards go out of date faster than they can be revised, and the variances they produce then measure the standard rather than the performance. That is a limitation of the technique rather than of its arithmetic. Chapter 7 sets out the modern costing methods — target costing, life cycle costing and the cost of quality — that answer it.

2.4 McDonaldisation

McDonaldisation describes the increasing level of standardisation in society. It takes its name from the fast-food chain’s approach to the mass delivery of standardised products.

Through the use of predetermined products and methods on a global scale, the chain is described as achieving efficiency, calculability, predictability and control — the same four qualities a standard costing system seeks.

Critics argue that this is achieved at the expense of individuality, and that cost reduction takes priority over other important factors such as employee motivation and consumer choice.

2.5 Types of standard

There is no rule about how a standard is set; that is a matter for the individual entity. Four types are distinguished.

Type of standard

What it assumes

What it is good for, and its weakness

Ideal

100% efficient, 100% of the time — perfect operating conditions, with no waste and no idle time.

Can express a long-term aim. Unrealistic for variance analysis or budgeting: every variance is adverse, which demotivates.

Basic

A long-term standard left unchanged over many years, often set at the inception of a product.

Useful only to show trends or improvement over time. Not a useful measure of current performance.

Expected (attainable)

Normal efficient operating conditions for a specific budget period, including an allowance for wastage and idle time.

The usual basis for variance analysis and for budgeting. The risk is that the standard is set too loosely to work as a target.

Current

The attainable standard adjusted for the conditions actually applying in the period under review.

Useful under abnormal conditions, such as a period of very high inflation. May reduce the drive for improvement, because the standard simply follows the current cost environment.

3 Variance analysis

A variance is a difference: the difference between what a figure actually was and what, for the activity actually achieved, it should have been. A variance is favourable (F) when on its own it increases profit and adverse (A) when on its own it reduces profit.

If variances are to be investigated properly and used for control, it is not enough to know that a total was missed. We need to know why — and that means analysing each total into its component parts.

Total profit varianceSales variancesCost variancesSales priceSales volumeMaterialsLabourVariableoverheadFixedoverheadpriceusagerate of payidle timeefficiencyexpenditureefficiencyexpenditurevolume** Fixed overhead volume variance arises under ABSORPTION costing only. It splits further into acapacity variance and an efficiency variance (section 4).Under MARGINAL costing the sales volume variance is valued at standard CONTRIBUTION per unit;under ABSORPTION costing it is valued at standard PROFIT per unit. Everything else is identical.

3.1 Flexing the budget

Comparing actual results with the original fixed budget is not a sensible comparison. If more units were produced than budgeted, more will have been spent on materials; that tells us nothing about whether the right amount per unit was spent.

The flexed budget rewrites the original budget for the activity level actually achieved, using the original standard prices and usage rates. It answers the question: for the units we actually made and sold, what should the revenue and the costs have been?

Original budget → flexed budget = the sales volume variance.

Flexed budget → actual = every other variance.

YouTube video

A company has prepared the following standard cost card:

$ per unit

Materials (4 kg at $4.50 per kg)

18

Labour (5 hrs at $5 per hr)

25

Variable overheads (5 hrs at $2 per hr)

10

Standard marginal cost

53

The budgeted selling price is $75 per unit and the budgeted fixed overheads are $130,500.

Budgeted production

8,700 units

Budgeted sales

8,000 units

There is no opening inventory

The actual results are as follows:

Sales

8,400 units for $613,200

Production

8,900 units, with the following costs:

$

Materials (35,464 kg)

163,455

Labour (45,400 hrs paid, 44,100 hrs worked)

224,515

Variable overheads

87,348

Fixed overheads

134,074

Required

Prepare a flexed budget and calculate the total variances. The company currently uses marginal costing.

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Standard contribution per unit = $75 − $53 = $22.

Original budget

Flexed budget

Actual

Variance

Sales (units)

8,000

8,400

8,400

Production (units)

8,700

8,900

8,900

$

$

$

$

Sales

600,000

630,000

613,200

16,800 (A)

Materials

156,600

160,200

163,455

3,255 (A)

Labour

217,500

222,500

224,515

2,015 (A)

Variable overheads

87,000

89,000

87,348

1,652 (F)

Marginal cost of production

461,100

471,700

475,318

Less: closing inventory at standard cost

(37,100)

(26,500)

(26,500)

Marginal cost of sales

424,000

445,200

448,818

Contribution

176,000

184,800

164,382

Less: fixed overheads

(130,500)

(130,500)

(134,074)

3,574 (A)

Profit

45,500

54,300

30,308

23,992 (A)

Workings.

  • Original budget: revenue 8,000 × $75; production costs 8,700 units × $18, $25 and $10; closing inventory 8,700 − 8,000 = 700 units × $53 = $37,100.

  • Flexed budget: revenue 8,400 × $75; production costs 8,900 units × $18, $25 and $10; closing inventory 8,900 − 8,400 = 500 units × $53 = $26,500.

  • Actual column: the actual costs as given, but the closing inventory is still valued at the STANDARD cost of $53. Inventory is carried at standard in a standard costing system so that its value does not swing from month to month with the actual cost incurred.

  • Fixed overheads are not flexed. They are fixed, so the flexed budget carries the original $130,500.

Checks.

  • The difference between the original and the flexed profit is the sales volume variance: (8,400 − 8,000) × $22 = $8,800 (F), and $54,300 − $45,500 = $8,800.

  • The total variances add back: −16,800 − 3,255 − 2,015 + 1,652 − 3,574 = $23,992 (A), which is $54,300 − $30,308.

3.2 The variance formulae

Every cost variance in this chapter is one of two shapes. Learn the two shapes and the individual rules follow.

The price family — materials price, labour rate of pay, variable and fixed overhead expenditure. Take the quantity actually bought or paid for, and ask what it cost against what it should have cost:

Price variance = (SP − AP) × AQ

The usage family — materials usage, labour efficiency, variable overhead efficiency. Take the standard price, and ask how much was used against how much should have been used for the output actually achieved:

Usage variance = (SQ for actual output − AQ) × SP

Applied to each cost, and to sales, that gives:

Variance

Compare

with

Materials price

actual quantity purchased × actual price

actual quantity purchased × standard price

Materials usage

actual quantity used

standard quantity for actual production; difference × standard price

Labour rate of pay

actual hours paid × actual rate

actual hours paid × standard rate

Idle time

actual hours paid

actual hours worked; difference × standard rate

Labour efficiency

actual hours worked

standard hours for actual production; difference × standard rate

Variable overhead expenditure

actual cost

actual hours WORKED × standard rate per hour

Variable overhead efficiency

actual hours worked

standard hours for actual production; difference × standard rate per hour

Fixed overhead expenditure

actual fixed overhead

budgeted fixed overhead

Sales price

actual units × actual selling price

actual units × standard selling price

Sales volume

actual units sold

budgeted units sold; difference × standard contribution (marginal) or standard profit (absorption) per unit

Two traps in the labour and overhead lines. First, the variable overhead variances use the hours actually worked, never the hours paid: the assumption is that no overhead is incurred while the workforce is idle, which is why there is no idle time variance for overheads. Second, the idle time variance is always adverse where hours are paid for but not worked — it cannot be favourable.

3.3 Analysing the total variances

This lecture works the materials, labour and variable overhead variances of Example 2, and every figure in it is right — 3,867 (A), 612 (F), 2,485 (F), 6,500 (A), 2,000 (F), 852 (F) and 800 (F), reconciling to 3,255 (A), 2,015 (A) and 1,652 (F). One number to have in front of you before you start. The materials usage difference is 136 kilos — 35,600 standard kilos less the 35,464 actually used — and 136 kilos at $4.50 is the $612 favourable the recording goes on to use. If you hear that subtraction given as 36 kilos, 136 is the figure and $612 (F) is the answer; Answer 2 below sets the subtraction out in full. The lecture is also the best explanation in the paper of why a total variance is split at all — one manager buys and another uses — and of why the variable overhead variances are computed on hours worked rather than hours paid.

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The total materials variance in Example 1 tells us that the actual spend was not $18 a unit. That could be because the wrong quantity of material was used — it should have been 4 kg per unit — or because the wrong price was paid — it should have been $4.50 per kg. Most often it is a combination of the two, and the two are usually the responsibility of two different managers.

The same argument applies to labour and to the overheads. Each total is therefore analysed into its component parts.

3.4 The operating statement

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The operating statement is the summary presented to management. It begins with the original budgeted profit, lists every variance, and ends with the actual profit — so it explains, line by line, why the two differ.

You will not be asked to prepare a complete operating statement in an objective test, but you are expected to know what it is, what it starts from, what it ends at and how any individual line in it is calculated.

Using the data from Example 1, analyse the variances and use them to produce an operating statement reconciling the budgeted profit with the actual profit. The company uses marginal costing.

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Materials

Price (expenditure) variance

$

35,464 kg at actual cost

163,455

35,464 kg at standard cost of $4.50

159,588

Materials price variance

3,867 (A)

Usage variance

kg

Actual usage

35,464

Standard usage for actual production (8,900 × 4 kg)

35,600

Difference

136 (F)

At the standard cost of $4.50 per kg

$612 (F)

Check: $3,867 (A) − $612 (F) = $3,255 (A), the total materials variance in Answer 1.

Labour

Rate of pay variance

$

45,400 hours paid at actual cost

224,515

45,400 hours at the standard rate of $5

227,000

Labour rate of pay variance

2,485 (F)

Idle time variance

hours

Actual hours paid

45,400

Actual hours worked

44,100

Idle hours

1,300

At the standard rate of $5 per hour

$6,500 (A)

Efficiency variance

hours

Actual hours worked

44,100

Standard hours for actual production (8,900 × 5 hrs)

44,500

Difference

400 (F)

At the standard rate of $5 per hour

$2,000 (F)

Check: $2,485 (F) − $6,500 (A) + $2,000 (F) = $2,015 (A), the total labour variance.

Variable overheads

Expenditure variance

$

44,100 hours worked, at actual cost

87,348

44,100 hours at the standard rate of $2 per hour

88,200

Variable overhead expenditure variance

852 (F)

Efficiency variance

hours

Actual hours worked

44,100

Standard hours for actual production (8,900 × 5 hrs)

44,500

Difference

400 (F)

At the standard rate of $2 per hour

$800 (F)

Check: $852 (F) + $800 (F) = $1,652 (F), the total variable overhead variance.

Fixed overheads

Expenditure variance

$

Actual fixed overhead

134,074

Budgeted fixed overhead

130,500

Fixed overhead expenditure variance

3,574 (A)

Under marginal costing this is the ONLY fixed overhead variance. There is no volume variance, because fixed overheads are not absorbed into unit cost.

Sales

$

Price: 8,400 units at actual, $613,200, against 8,400 × $75 = $630,000

16,800 (A)

Volume: (8,400 − 8,000) units × standard contribution $22

8,800 (F)

Operating statement (marginal costing)

$

Original budgeted profit

45,500

Sales

volume variance

8,800 (F)

Budgeted profit flexed to actual sales

54,300

Sales

price variance

(16,800) (A)

Materials

price variance

(3,867) (A)

usage variance

612 (F)

Labour

rate of pay variance

2,485 (F)

idle time variance

(6,500) (A)

efficiency variance

2,000 (F)

Variable overheads

expenditure variance

852 (F)

efficiency variance

800 (F)

Fixed overheads

expenditure variance

(3,574) (A)

Actual profit

30,308

4 Variances under absorption costing

In the previous example the company was using marginal costing. It could instead have used absorption costing. The variances are calculated in very much the same way, but two of them change.

This lecture builds the absorption cost card, the absorption operating statement and the split of the fixed overhead volume variance, and every final figure in it is correct: an OAR of $3 an hour and $15 a unit, a standard cost of $68 and a standard profit of $7, a budgeted profit of $56,000, an actual profit of $37,808, and a volume variance of $3,000 (F) made up of $1,800 (F) capacity and $1,200 (F) efficiency. Three things to keep straight while you watch. The labour efficiency variance is favourable, $2,000 (F), and the $37,808 depends on it — so if you hear it called adverse at any point, favourable is the sign, and Answer 3 below carries it that way everywhere it appears. The workforce was 400 hours faster than standard, not 500, which is where the $1,200 comes from. And the actual profit statement built in that stretch is the absorption statement, not the marginal one; it is built correctly.

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  1. The SALES VOLUME variance is valued at the standard PROFIT per unit rather than at the standard contribution per unit, because under absorption costing each unit carries a share of the fixed overhead.

  2. A FIXED OVERHEAD VOLUME variance appears. It does not exist under marginal costing.

The fixed overhead volume variance exists because the standard profit per unit assumes the budgeted level of production. Absorb fixed overhead at $15 a unit on a budget of 8,700 units, then produce 8,900, and the overhead actually recovered is not $15 a unit at all. The volume variance corrects for that:

Fixed o/h volume variance = (actual production − budgeted production) × OAR per unit

It is favourable when production exceeds budget, because more overhead has been absorbed, and adverse when production falls short. It can be analysed further into two parts, which answer the question “why did we manage to produce more?”:

Sub-variance

Compare

with

Valued at

Capacity

actual hours worked

budgeted hours

OAR per hour

Efficiency

standard hours for actual production

actual hours worked

OAR per hour

The fixed overhead efficiency variance uses exactly the same hours as the labour efficiency and variable overhead efficiency variances — only the rate applied to them changes. In Answers 2 and 3 the same 400 favourable hours are valued at $5, at $2 and at $3.

Using the data from Example 1:

  1. prepare the original fixed budget, the flexed budget and the actual results using absorption costing; and

  2. prepare an operating statement using an absorption costing approach.

Fixed overheads are absorbed on a labour hour basis.

Show answerHide answer

(a) The absorption cost card and the three columns

Overhead absorption rate = budgeted fixed overhead ÷ budgeted labour hours = $130,500 ÷ (8,700 units × 5 hrs) = $130,500 ÷ 43,500 hrs = $3 per labour hour, which is $15 per unit.

Standard absorption cost per unit = $18 + $25 + $10 + $15 = $68. Standard profit per unit = $75 − $68 = $7.

Original budget

Flexed budget

Actual

Variance

Sales (units)

8,000

8,400

8,400

Production (units)

8,700

8,900

8,900

$

$

$

$

Sales

600,000

630,000

613,200

16,800 (A)

Materials

156,600

160,200

163,455

3,255 (A)

Labour

217,500

222,500

224,515

2,015 (A)

Variable overheads

87,000

89,000

87,348

1,652 (F)

Fixed overheads absorbed / incurred

130,500

133,500

134,074

574 (A)

Total cost of production

591,600

605,200

609,392

Less: closing inventory at $68

(47,600)

(34,000)

(34,000)

Cost of sales

544,000

571,200

575,392

Profit

56,000

58,800

37,808

20,992 (A)

Note the flexed fixed overhead line: 8,900 units × $15 absorbed = $133,500. The $574 (A) shown against it is the NET fixed overhead variance, which the operating statement below analyses into a $3,574 (A) expenditure variance and a $3,000 (F) volume variance.

The absorption profit differs from the marginal profit by the fixed overhead carried in the inventory movement: budget 700 units × $15 = $10,500 ($56,000 against $45,500); actual 500 units × $15 = $7,500 ($37,808 against $30,308). That is a marginal-versus-absorption difference, not a variance.

(b) The fixed overhead variances

Expenditure variance

$

Actual fixed overhead

134,074

Budgeted fixed overhead

130,500

Fixed overhead expenditure variance

3,574 (A)

Capacity variance

hours

Actual hours worked

44,100

Budgeted hours (8,700 units × 5 hrs)

43,500

Difference

600 (F)

At the absorption rate of $3 per hour

$1,800 (F)

Fixed overhead efficiency variance

hours

Actual hours worked

44,100

Standard hours for actual production (8,900 × 5 hrs)

44,500

Difference

400 (F)

At the absorption rate of $3 per hour

$1,200 (F)

Check: $1,800 (F) + $1,200 (F) = $3,000 (F), which is the volume variance (8,900 − 8,700) × $15. And $3,574 (A) − $3,000 (F) = $574 (A), the net fixed overhead variance in the table above.

Operating statement (absorption costing)

$

Original budgeted profit

56,000

Sales

volume variance (400 units × $7 standard profit)

2,800 (F)

Budgeted profit flexed to actual sales

58,800

Sales

price variance

(16,800) (A)

Materials

price variance

(3,867) (A)

usage variance

612 (F)

Labour

rate of pay variance

2,485 (F)

idle time variance

(6,500) (A)

efficiency variance

2,000 (F)

Variable overheads

expenditure variance

852 (F)

efficiency variance

800 (F)

Fixed overheads

expenditure variance

(3,574) (A)

capacity variance

1,800 (F)

efficiency variance

1,200 (F)

Actual profit

37,808

Only two lines differ from the marginal costing statement: the sales volume variance ($2,800 (F) at standard profit rather than $8,800 (F) at standard contribution), and the two extra fixed overhead lines that together make up the volume variance. Every other variance is identical, because the way materials, labour and variable overheads are costed does not depend on how fixed overheads are treated.

5 Interpretation of variances

Calculating a variance is only half the work. The syllabus names interpretation of variances as a topic in its own right, and it is tested as readily as the arithmetic. Management will want an explanation from the responsible manager for every significant variance, and above all will want to know whether anything can be done about it in future periods.

In the previous examples there was an adverse materials price variance of $3,867.

Required

Suggest possible reasons for its occurrence.

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The price variance measures only the price paid per kilogram: the standard was $4.50 and evidently more was paid. Whether too much or too little material was used is a separate question, answered by the usage variance. Possible reasons include the following.

  1. A GENERAL PRICE RISE. Suppliers put the price up. This is outside the entity’s control, so the purchasing manager cannot fairly be held responsible for it — although the standard should be revised for future periods. (An adverse exchange rate movement on imported material falls in the same category.)

  2. POOR BUYING. The price had not risen, but the buyer went to the wrong supplier, missed a discount, or bought in uneconomic quantities. This is controllable, and something can be done about it next period.

  3. A DELIBERATE DECISION TO BUY HIGHER-QUALITY MATERIAL. Better material costs more. It might be bought so that a better product can be sold at a higher price or in greater volume, so that less material is wasted, or so that the workforce can work faster with it.

  4. AN UNREALISTIC STANDARD. The cost card may simply have been wrong: perhaps the material could never have been bought at $4.50. The variance then measures a planning error, not the buyer’s performance, and the standard must be corrected. Chapter 10 shows how to separate that effect formally, as a planning variance.

Reading the variances together. No variance should be read on its own. If the higher-quality explanation were the right one, the extra $3,867 spent ought to show up as a saving somewhere else — a favourable usage variance from less waste, a favourable efficiency variance from faster working, or a favourable sales price or volume variance from a better product. Here the usage variance is only $612 (F) and the efficiency variances $2,000 (F) and $800 (F), while the sales price variance is $16,800 (A). So if the material was bought for quality, the decision has not paid for itself.

5.1 The interdependence of variances

Variances are frequently linked, and the link usually runs across the boundary between two managers:

  • cheaper material (favourable price) that is harder to work with (adverse usage, adverse labour efficiency);

  • a lower selling price (adverse sales price) taken deliberately to win volume (favourable sales volume);

  • less-skilled labour at a lower rate (favourable rate) that works more slowly and wastes more (adverse efficiency, adverse materials usage);

  • a machine breakdown (adverse idle time) that also produces an adverse fixed overhead capacity variance.

5.2 Deciding whether to investigate

Investigation costs time and money, so not every variance is investigated. The usual considerations are:

  • the SIZE of the variance, in absolute terms and as a percentage of the standard;

  • whether it is FAVOURABLE or adverse — a large favourable variance is worth understanding too, both because it may be repeatable and because it may indicate a standard that is too loose;

  • the TREND: a small variance in the same direction every month matters more than one large isolated variance;

  • CONTROLLABILITY — there is little point investigating something no manager can influence; and

  • the RELIABILITY of the standard itself, which is the subject of the next chapter.

6 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

Standard Costing and Basic Variance Analysis

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