P1: Budgeting

Answer: A. Materials price variance = (standard price × actual quantity purchased) − actual cost = (4,000 × £5.00) − £21,200 = £20,000 − £21,200 = £1,200 adverse. The adverse direction is confirmed by the actual price (£21,200 ÷ 4,000 = £5.30/kg) exceeding the standard price (£5.00). The favourable version simply reverses the sign. The price variance is calculated on the quantity purchased (not used), so that purchasing efficiency is measured at the time of purchase. £2,000 and £800 do not follow from the £0.30 per kg price difference on 4,000 kg.

Answer: B. Standard hours for actual output = 500 units × 3 hours = 1,500 hours. Labour efficiency variance = (standard hours − actual hours) × standard rate = (1,500 − 1,620) × £12 = −£1,440, i.e. £1,440 adverse, because more hours were worked than the standard allows. The favourable version has the correct figure but the wrong direction. The efficiency variance isolates the effect of working faster or slower than standard, valued at the standard rate, separate from the rate variance. £2,160 favourable and £720 adverse do not follow from the 120-hour difference at £12.

Answer: C. The fixed overhead expenditure variance = budgeted fixed overhead − actual fixed overhead = £60,000 − £63,500 = −£3,500, i.e. £3,500 adverse, because actual spending exceeded budget. The favourable version reverses the direction. This is the only fixed overhead variance that exists in marginal costing; in absorption costing it is accompanied by a volume variance. The expenditure variance measures whether the business spent more or less on fixed overheads than budgeted. £3,000 adverse does not follow from the figures.

Answer: D. A flexible budget adjusts the original (fixed) budget to the actual activity level achieved, so that variances reflect efficiency and spending differences rather than simply the impact of being busier or quieter than planned. Without flexing, an adverse variance may simply mean more was produced than budgeted, not that the process was inefficient. Flexible budgets give a fairer basis for performance assessment by separating volume effects from efficiency and spending effects.

Answer: D. The standard cost per unit of output is £9,000 (standard cost of standard input) ÷ 900 (standard output) = £10 per unit. The standard output expected from the actual input of 1,020 kg, at the standard 90% yield ratio, is 1,020 x 90% = 918 kg. The yield variance compares this expected output to the actual output achieved: (895 actual − 918 standard expected) x £10 = (23) x £10 = £230 Adverse. The adverse result shows the process converted the actual input into less good output than the standard yield ratio predicts — a genuine efficiency loss in the conversion process, separate from any effect of using the two materials in a different proportion (which is captured by the mix variance instead). £23 is the shortfall in units without valuing it at £10, and £1,150 does not follow from the figures.

Answer: B. ZBB requires managers to justify all planned expenditure from a zero base each period, questioning whether each activity is necessary and at what cost — eliminating the implicit assumption that last year's spending is automatically approved. Incremental budgeting takes the prior year as a starting point and adjusts for known changes, which is simpler but can entrench inefficiencies. ZBB is more time-consuming and is not restricted by organisation size, nor does it guarantee lower budgets or confine itself to capital expenditure.

Answer: B. Standard quantity for actual output = 400 × 2 = 800 kg. Usage variance = (standard quantity − actual quantity used) × standard price = (800 − 850) × £5 = −£250, i.e. £250 adverse. The adverse direction is confirmed by more material being used than standard allows. The favourable version reverses the sign. Unlike the price variance (calculated on quantity purchased), the usage variance is calculated on quantity used and measures efficiency of material usage. £375 does not follow from the 50 kg excess at £5, and £2,500 misplaces the decimal point.

Answer: C. Labour rate variance = (standard rate × actual hours) − actual labour cost = (2,200 × £10) − £23,100 = £22,000 − £23,100 = −£1,100, i.e. £1,100 adverse. The actual rate paid (£23,100 ÷ 2,200 = £10.50/hour) exceeded the standard (£10). The favourable option reverses the direction. The rate variance isolates the effect of paying a different rate from standard, separate from the efficiency with which hours were used. £900 adverse does not follow from the figures.

Answer: D. Variable overhead expenditure variance = (standard rate × actual hours) − actual variable overhead = (5,000 × £3) − £14,800 = £15,000 − £14,800 = £200 favourable, because less was spent than the standard rate implied for the hours worked. The adverse version reverses the direction. This variance is isolated by holding hours constant at actual hours, separating spending efficiency from time efficiency (the latter is captured by the efficiency variance). £1,200 adverse does not follow from the figures.

Answer: A. Actual price = £87,000 ÷ 3,000 = £29 per unit. Sales price variance = (actual price − standard price) × actual units sold = (£29 − £30) × 3,000 = −£3,000, i.e. £3,000 adverse, because the actual price received was below standard. The favourable option reverses the sign. This variance measures the revenue effect of selling at a different price from standard, isolated from the effect of selling different volumes. £90,000 is the standard revenue (3,000 × £30), not a variance, and £1,500 does not follow from the figures.

Answer: B. Production budget = sales + closing inventory − opening inventory = 5,000 + 800 − 600 = 5,200 units. Because the company wants to increase its finished goods inventory, it must produce more than it sells. The 4,800 unit answer reverses the inventory adjustment. Linking the production budget to the sales budget and inventory plan ensures all functional budgets are coordinated through the master budget. 5,400 adds both the opening and the closing inventory.

Answer: C. An ideal standard assumes perfect efficiency — no waste, no idle time, no machine breakdowns — and represents the best possible outcome. It is rarely achieved in practice, which means virtually all variances are adverse; this can demotivate staff. An attainable (or expected) standard assumes normal efficiency including expected wastage and idle time. A current standard reflects current conditions. Ideal standards are sometimes used as aspirational targets in kaizen or continuous improvement environments.

Answer: D. The standard weighted-average labour rate is £12,000 (standard cost) ÷ 1,000 (standard hours) = £12 per hour. The standard hours allowed for the actual output of 980 units, at the standard rate of 1 hour per unit, is 980 hours. The yield variance compares this to the actual total hours worked: (980 standard hours allowed − 1,020 actual hours worked) x £12 = (40) x £12 = £480 Adverse. The adverse result shows that, in total, more labour hours were used than the standard allows for the output actually achieved — a genuine efficiency loss in converting labour input into finished output, distinct from the separate (and in this case favourable) effect of using more of the cheaper labour grade captured by the mix variance. £240 compares actual hours with the original 1,000 budgeted hours instead of the 980 allowed for the actual output ((1,000 − 1,020) × £12).

Answer: B. Variable overhead efficiency variance = (standard hours for actual output − actual hours) × standard rate = (2,400 − 2,600) × £4 = −£800, i.e. £800 adverse, because more hours were worked than the standard allows, consuming more variable overhead. The favourable version reverses the sign. This variance measures the variable overhead cost of labour being more or less efficient than standard, distinct from the expenditure variance which holds hours constant at actual. £10,400 is the actual hours at the standard rate (2,600 × £4), not a variance.

Answer: C. Fixed overhead absorbed = 4,500 units × £12 = £54,000. Budgeted fixed overhead = £60,000. Volume variance = overhead absorbed − budgeted overhead = £54,000 − £60,000 = −£6,000, i.e. £6,000 adverse. The volume variance arises in absorption costing because fixed overhead is absorbed based on output, so producing fewer units than budgeted means less overhead is absorbed, leaving the remainder unrecovered. £3,000 adverse does not follow from the figures.

Answer: D. The planning variance measures the extent to which the original standard was unrealistic due to uncontrollable changes in the environment (such as unexpected price increases in commodity markets). It is the difference between the original standard and a revised, ex-post standard. The operational variance then compares the revised standard to actual results, measuring what management actually controlled. This split allows a fairer performance assessment by separating controllable from uncontrollable variances.

Answer: A. The operational price variance compares the revised standard with the actual price, for the quantity purchased: (revised standard − actual price) × actual quantity = (£5.50 − £5.70) × 2,000 = −£0.20 × 2,000 = −£400, i.e. £400 adverse. The planning price variance is (original standard − revised standard) × actual quantity = (£5.00 − £5.50) × 2,000 = −£1,000 adverse (uncontrollable). The total price variance = £1,400 adverse = planning £1,000 + operational £400. The operational variance is the controllable part.

Answer: B. A rolling budget extends the planning horizon continuously by adding a new period (typically a month or quarter) as each period passes, so the organisation always has a budget covering, say, 12 months ahead. This keeps the budget current and reduces the 'budget is outdated' problem that arises with a fixed annual budget as the year progresses. It is more time-consuming than an annual budget and can be prepared at any level of management involvement.

Answer: C. In participative budgeting, operational managers contribute their local knowledge to the budgeting process, which can improve accuracy, increase acceptance and motivate managers who feel ownership of their budgets. A downside is that managers may introduce budget slack (deliberately underestimating revenue or overestimating costs). Top-down budgeting (imposed) is quicker but may reduce motivation. External consultants may assist but are not the defining feature of participative budgeting, and deliberately impossible budgets destroy motivation.

Answer: D. OAR per hour = £60,000 ÷ 5,000 = £12. Capacity variance = (actual hours worked − budgeted hours) × OAR = (4,800 − 5,000) × £12 = −£2,400, i.e. £2,400 adverse. The capacity variance measures whether the workforce put in more or fewer hours than budgeted. Here, 200 fewer hours were worked than planned. The efficiency variance would separately measure how productively those hours were used (actual hours 4,800 vs standard hours 4,500 for actual output). £6,000 adverse is the whole fixed overhead volume variance (capacity plus efficiency), and £600 does not follow from the figures.

Answer: A. Fixed overhead efficiency variance = (standard hours for actual output − actual hours worked) × OAR = (4,500 − 4,800) × £12 = −£3,600, i.e. £3,600 adverse. The adverse sign shows that more hours were worked than should have been required for the actual output, meaning the workforce was less efficient than standard. The volume variance = capacity (−£2,400) + efficiency (−£3,600) = −£6,000 adverse (confirmed: budgeted overhead £60,000 less absorbed overhead 4,500 × £12 = £54,000 = £6,000 adverse volume variance). £600 adverse does not follow from the figures.

Answer: B. The sales mix variance isolates the profit impact of selling a different proportional mix of products from budgeted, holding total actual volume constant. If the actual mix shifts toward higher-contribution products, the mix variance is favourable. The sales quantity variance then measures the effect of the total actual sales volume being different from budget, in the standard mix. Together they reconcile the total sales volume variance. The price variance is a separate calculation.

Answer: B. Budgeted mix: X = 40%, Y = 60%. Actual total = 1,000 units. Actual in standard mix: X = 1,000 × 40% = 400; Y = 1,000 × 60% = 600. Mix variance per product = (actual quantity in actual mix − actual quantity in standard mix) × standard contribution per unit. X: (300 − 400) × £10 = −£1,000 adverse. Y: (700 − 600) × £15 = +£1,500 favourable. Net mix variance = −£1,000 + £1,500 = £500 favourable. The mix has shifted toward the higher-contribution Product Y, which is why the net variance is favourable.

Answer: D. Budget slack occurs when managers in a participative budgeting process set targets they know are achievable with less effort than optimal — overestimating costs or underestimating revenue — to build a safety margin and make hitting their budget easier. This is a behavioural consequence of participation and bonus schemes linked to budget achievement. It reduces the usefulness of the budget as a planning and control tool. Zero-based budgeting and challenging budget reviews are common safeguards against slack.

Answer: A. A responsibility centre is a unit of the organisation whose manager is accountable for a defined set of financial measures — a cost centre (costs only), revenue centre (revenues only), profit centre (revenues and costs) or investment centre (revenues, costs and assets). The type of centre determines what the manager controls and is measured on. The number of staff and the level of the organisation are not the defining criteria. Responsibility accounting ensures that managers are evaluated only on what they can control.

Answer: B. Purchases = material required for production + closing inventory − opening inventory = 24,000 + 3,500 − 2,000 = 25,500 kg. Because the company plans to build up its material inventory, it must purchase more than it uses in production. The 22,500 kg figure reverses the inventory adjustment. The materials purchases budget depends on both the production volume (which drives consumption) and the planned inventory movements. 20,500 kg deducts the closing inventory from the requirement and ignores the opening inventory.

Answer: D. At the standard 50:50 mix, the actual total of 1,020 hours should have been split 510 skilled and 510 unskilled hours. Skilled labour: (510 − 480 actual) x £16 = 30 x £16 = £480 Favourable (30 fewer hours of the more expensive grade used than the standard mix implies). Unskilled labour: (510 − 540 actual) x £8 = (30) x £8 = £240 Adverse (30 more hours of the cheaper grade used). Net mix variance = £480 Favourable − £240 Adverse = £240 Favourable. The favourable result reflects a shift toward more of the cheaper unskilled hours and fewer of the expensive skilled hours than the standard mix specifies, which reduces cost for the same total hours worked.

Answer: A. An adverse variance reduces actual profit below standard, so it appears as a downward (adverse) adjustment in the reconciliation. A favourable variance is added to bring actual profit above standard. An adverse fixed overhead expenditure variance (actual overhead > budget) is subtracted. Favourable materials usage, sales volume profit and labour efficiency variances would all be added (favourable adjustments). The reconciliation flows from standard profit, adjusting for each sales and cost variance to arrive at actual profit.

Answer: D. Mix and yield variances always sum to the total usage variance by construction — £60 Adverse mix + £230 Adverse yield = £290 Adverse usage, exactly as it should. But the two variances have different causes and don't always move in the same direction (in the labour example, mix was favourable while yield was adverse), so seeing both point the same way here doesn't itself indicate an error — it simply means both the mix decision and the underlying process efficiency happened to work against the business this period. The value of the subdivision is precisely that it lets management investigate the mix decision (was substituting toward the expensive material justified?) separately from the yield/efficiency issue (why did the process convert less input into output than standard?), rather than treating the combined usage variance as a single, harder-to-diagnose figure.

Answer: C. Responsibility accounting holds managers accountable only for costs within their control — including direct material costs, direct labour efficiency, variable overhead consumption and production-specific fixed costs such as departmental maintenance. Head office recharges, corporate tax and group-level costs are outside the production manager's control and should be excluded from their performance report. Including uncontrollable costs demotivates managers and creates unfair performance assessments. Controllable costs provide the right incentives.

Answer: D. Cash received in May = (May sales × 40%) + (April sales × 60%) = (£90,000 × 40%) + (£80,000 × 60%) = £36,000 + £48,000 = £84,000. The £90,000 figure ignores the credit terms and treats all May sales as received in May. The £78,000 figure might result from mixing up the percentages. Cash budgets must reflect actual timing of cash receipt, not the period in which sales are recognised. £69,000 does not follow from the figures.

Answer: A. Standard costing establishes predetermined costs for direct materials, direct labour and overheads, which serve as benchmarks. Actual costs are then compared against these standards, and variances are investigated to identify where costs exceeded or fell short of expectations. It does not eliminate costs or guarantee that actual equals standard — variance analysis only makes sense if deviations are possible. It is a tool that supports, rather than replaces, the management accounting function.

Answer: A. Cash paid in March = (March purchases × 50%) + (February purchases × 50%) = (£70,000 × 50%) + (£60,000 × 50%) = £35,000 + £30,000 = £65,000. The £70,000 figure treats all March purchases as paid in March, ignoring the credit terms. Cash budgets must follow actual payment timing, not the period purchases are recorded. The £60,000 figure would represent February purchases if all were paid in March — also incorrect. £55,000 uses January and February purchases instead of February and March.

Answer: B. Total employment cost to the employer = gross wages + employer's national insurance = £400,000 + £45,000 = £445,000. Employee deductions (income tax £80,000 and employee's NI £30,000) are not an additional cost to the employer — they are deducted from the gross pay and passed to the tax authority on the employee's behalf. The employer's own national insurance contribution is a genuine additional cost above the gross wage. The net pay to employees is £400,000 − £80,000 − £30,000 = £290,000. £555,000 also adds the employee deductions, which are part of gross pay, not extra cost.

Answer: C. Variance as a percentage of standard = £6,000 ÷ £80,000 × 100 = 7.5%. Since 7.5% exceeds the 5% control limit, the variance should be investigated. Management by exception focuses attention on significant deviations; applying a percentage threshold prevents wasting time on trivial variances while ensuring material ones receive attention. Both favourable and adverse variances outside limits should be investigated — favourable variances may indicate errors in the standard, not just better-than-expected performance.

Answer: A. Where a process uses two or more materials (or labour grades) combined in a standard proportion, the total usage or efficiency variance can be broken down into two components: the mix variance, which isolates the cost effect of combining the inputs in a different proportion than the standard mix (e.g. substituting a cheaper material for a more expensive one), and the yield variance, which isolates the cost effect of the actual total input quantity producing a different output than the standard yield ratio predicts. Together, mix and yield sum to the total usage variance — they are not independent of it, they are not about price or rate differences (that's the separate price/rate variance), and neither is restricted to single-material or no-loss situations.

Answer: A. At the standard 50:50 mix, the actual total input of 1,020 kg should have been split 510 kg X and 510 kg Y. Material X: (510 − 480 actual) x £8 = 30 x £8 = £240 Favourable (30 kg less of the cheaper material used than the standard mix implies). Material Y: (510 − 540 actual) x £10 = (30) x £10 = £300 Adverse (30 kg more of the more expensive material used). Net mix variance = £240 Favourable − £300 Adverse = £60 Adverse. The net adverse result reflects that the actual mix shifted toward more of the expensive material (Y) and less of the cheaper one (X), which costs more overall even though the total input quantity was fixed at 1,020 kg. £600 adverse does not follow from the figures.

Answer: B. Incremental budgeting takes a previous period's budget or actual as the starting point and adjusts for known or expected changes — such as inflation, volume changes or new commitments. It is the simplest approach but risks perpetuating inefficiencies (the 'baseline is always right' assumption). Zero-based budgeting starts from scratch each period. Rolling or continuous budgets are updated regularly as conditions change. Activity-based budgeting uses cost driver information to set budgets. Incremental budgeting is widely used because of its simplicity despite its well-known limitations.