Standard Costing and Basic Variance Analysis
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
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.
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.
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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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.
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
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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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.
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.
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:
prepare the original fixed budget, the flexed budget and the actual results using absorption costing; and
prepare an operating statement using an absorption costing approach.
Fixed overheads are absorbed on a labour hour basis.
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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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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.
Standard Costing and Basic Variance Analysis
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