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Part 1 · Section C

Performance Management

Variances, responsibility accounting, transfer pricing, divisional measures and standard costs. This section is 20% of the Part 1 exam and the most calculation-heavy part of it. Learn the mechanics until they are automatic, then spend your time on interpretation: which manager is responsible, whether a measure drives the right decision, and what a favorable variance can hide.

About 20 of the 100 multiple-choice questions, and a frequent essay topic. Estimated study time: 30 hours.

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Your learning path

Five topics in the IMA outline order. Topic 1 carries most of the calculations.

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Conventions used throughout this section
  • F / U describes the effect on operating income: higher cost or lower revenue than standard is unfavorable. Amounts are shown positive with F or U.
  • Overhead names follow the CMA outline: variable overhead spending and efficiency; fixed overhead spending (budget) and production-volume.
  • Sales volume, mix and quantity variances are valued at budgeted contribution margin per unit unless a question says otherwise.
  • Formulas marked with an amber convention tag have more than one textbook version; the tag says which one the exam uses.
Topic 1 of 5

Cost & variance measures

Split the gap between budget and actual into effects you can act on: volume, price and efficiency. The exam tests both the arithmetic and who is accountable for each piece.

Static vs flexible budgetsSeparate the volume effect before analyzing efficiency

A static budget is prepared for one planned level of output. Comparing actual results with it mixes two stories: you sold a different volume, and you earned or spent differently per unit. A flexible budget restates the budget at the actual volume using budgeted prices and costs per unit, so the two stories separate cleanly.

Flexible budget operating income
$$OI_{flex} = AQ \times (BP - BVC) - FC_{budget}$$
AQ
actual units sold
BP, BVC
budgeted price and variable cost per unit
Static budget variance split
$$\text{Flexible-budget var.} = OI_{act} - OI_{flex}$$ $$\text{Sales-volume var.} = OI_{flex} - OI_{static}$$

Together they make up the static-budget variance. The flexible-budget variance is the sum of every price, efficiency and spending variance below.

flowchart TD
  S[Static budget variance] --> V[Sales-volume variance]
  S --> FB[Flexible-budget variance]
  V --> MX[Sales mix variance]
  V --> QT[Sales quantity variance]
  FB --> SP[Selling-price variance]
  FB --> DM[Materials: price + usage]
  FB --> DL[Labor: rate + efficiency]
  FB --> OH[Overhead: spending + efficiency + volume]
  DM --> MY[Usage = mix + yield]
Exam trapNever compute cost variances against the static budget. If output rose, every cost line looks unfavorable simply because you made more units. Flex the budget to actual output first.
Direct materialsPrice variance at purchase, usage variance in production

Every input variance uses the same three columns: actual quantity at actual price, actual quantity at standard price, and the standard quantity allowed for actual output at standard price. Moving across one column at a time changes one thing, so each variance has a single cause.

Material price variance
$$MPV = AQ \times (AP - SP)$$

Positive result on a cost = U. Usually owned by purchasing.

Material usage (quantity) variance
$$MUV = SP \times (AQ_{used} - SQ)$$
SQ
standard quantity per unit × actual units produced
Three-column framework (any input)
$$\underbrace{AQ \times AP}_{\text{actual}} \;\xrightarrow{\text{price}}\; \underbrace{AQ \times SP}_{\text{flex at inputs}} \;\xrightarrow{\text{quantity}}\; \underbrace{SQ \times SP}_{\text{flex at outputs}}$$

Labor: replace price with rate and quantity with hours. Variable overhead: rate becomes the standard VOH rate.

Point of recognition

  • Most firms isolate the price variance when materials are purchased, using the quantity purchased. Inventory is then carried at standard price.
  • The usage variance always uses the quantity used. When purchases ≠ usage, the two variances do not add up to a single "total".
  • Price variance owners: purchasing (supplier choice, order size, freight). Usage variance owners: production (waste, spoilage, machine settings).
Exam trapIf the question says the price variance is recognized at purchase, multiply by the quantity purchased, not the quantity used. Using 9,800 kg above gives $1,960, a planted distractor.
Direct laborRate versus efficiency, and cross-functional causes
Labor rate variance
$$LRV = AH \times (AR - SR)$$

AH = actual hours paid; AR = actual rate = payroll ÷ AH.

Labor efficiency variance
$$LEV = SR \times (AH - SH)$$

SH = standard hours per unit × actual output. Always priced at the standard rate.

  • Rate variances come from overtime premiums, a different skill mix than planned, or wage settlements. HR and the production supervisor who schedules crews usually share them.
  • Efficiency variances come from training, machine downtime, poor scheduling, or poor-quality materials. A cheap material purchase can show up here as extra hours.
  • A favorable rate variance paired with an unfavorable efficiency variance often means less-skilled (cheaper, slower) workers were used.
Exam trapThe efficiency variance is priced at the standard rate. Pricing the excess hours at the actual rate double-counts the rate effect, and it is the classic wrong option.
Variable and fixed overheadSpending, efficiency, production-volume; 4-, 3- and 2-way analysis

Variable overhead behaves like labor: it is applied on an activity base (direct labor or machine hours), so it has a spending (rate) and an efficiency (quantity) variance. Fixed overhead does not change with activity, so it has a spending variance and a production-volume variance, and no efficiency variance.

Variable overhead naming
$$\text{Spending} = \text{Actual VOH} - AH \times SVOR$$ $$\text{Efficiency} = SVOR \times (AH - SH)$$

SVOR = standard variable overhead rate per unit of the allocation base.

Fixed overhead
$$\text{Spending} = \text{Actual FOH} - \text{Budgeted FOH}$$ $$\text{Prod. volume} = \text{Budgeted FOH} - SH \times SFOR$$

SFOR = budgeted FOH ÷ denominator level. Volume = (denominator − SH) × SFOR.

How the four overhead variances combine in 4-, 3- and 2-way analysis
Analysis Variances reported Use
4-way VOH spending · VOH efficiency · FOH spending · production-volume Full detail when VOH and FOH actuals are known separately
3-way Spending (VOH + FOH) · efficiency (VOH) · production-volume When only total actual overhead is known
2-way Flexible-budget, also called controllable (VOH spending + VOH efficiency + FOH spending) · production-volume Separates what managers control from capacity utilization
1-way Total = actual overhead − overhead applied (SH × total standard rate) Equals under- or over-applied overhead
Exam trapThere is no fixed overhead efficiency variance. If an option offers one, it is wrong. Inefficient hours affect fixed overhead only through the standard hours used in the volume variance.
Exam trapThe production-volume variance is computed on standard hours allowed, never actual hours. Using actual hours is the most common wrong option.
Instructor noteThe production-volume variance is not a spending problem. It exists only because a fixed cost was unitized. It measures capacity utilization, so it is normally not charged to a plant manager who does not control sales volume.
Sales variances: price, volume, mix and quantityWhy contribution margin differed from budget

Revenue-side variances explain why contribution margin differed from the static budget. Price effects use actual units; volume, mix and quantity effects use budgeted contribution margin per unit so that price is never counted twice.

Sales price variance
$$SPV = (AP - BP) \times AQ$$

Revenue variance: a positive result is favorable.

Sales volume variance CM basis
$$SVV = (AQ - BQ) \times BCM$$

CMA convention: budgeted contribution margin per unit, not selling price.

Sales mix variance
$$\sum_i (AQ_i - AQ_{total} \times BM_i) \times BCM_i$$
BMi
budgeted mix share of product i
BCMi
budgeted contribution margin per unit of product i
Sales quantity variance
$$(AQ_{total} - BQ_{total}) \times \overline{BCM}$$

\(\overline{BCM}\) = budgeted weighted-average contribution margin per unit. Mix + quantity = volume.

Market size and market share
$$\text{Size} = (AI - BI) \times BS \times \overline{BCM}$$ $$\text{Share} = (AS - BS) \times AI \times \overline{BCM}$$

AI/BI = actual/budgeted industry units; AS/BS = actual/budgeted market share. Size + share = quantity variance.

Exam trapThe sales volume variance uses budgeted CM per unit, not the selling price, and actual prices never enter the volume, mix or quantity variances. Using actual CM mixes the price effect into the volume effect and double-counts it.
Instructor noteWhen industry volume is given, the quantity variance splits again into market-size and market-share variances. A sales manager is usually accountable for share, not for the size of the whole market.
Materials mix and yieldSplitting the usage variance when inputs can be substituted

When inputs can be substituted (chemicals, food ingredients, a mix of labor grades), the usage variance splits into a mix variance (a different proportion of inputs) and a yield variance (more or less total input than standard for the output achieved).

Materials mix variance
$$\sum_i (AQ_i - AQ_{total} \times SM_i) \times SP_i$$

SMi = standard mix proportion of input i.

Materials yield variance
$$(AQ_{total} - SQ_{total}) \times \overline{SP}$$

\(\overline{SP}\) = weighted-average standard price per unit of input at standard mix. Mix + yield = usage.

Exam trapThe yield variance is priced at the weighted-average standard price at standard mix, not at the average price of the actual blend. Using the actual mix mingles the mix effect into the yield variance.

Who owns which variance

Typical responsibility and causes for each variance
Variance Usually responsible Typical causes
Material price Purchasing Supplier choice, order size, rush freight, market prices
Material usage / mix / yield Production Waste, spoilage, recipe changes, poor-quality input
Labor rate HR, production supervisor Overtime, skill mix, wage settlements
Labor efficiency Production Training, downtime, scheduling, poor material
VOH spending Department managers Utility and supply prices, wasteful use
Production-volume Senior management, sales Demand, capacity decisions; not cost control
Sales price, mix, share Sales and marketing Discounting, promotion mix, competitor action

Finished Cost & variance measures?

Mark it complete once you can compute and label every variance above without notes.

Topic 2 of 5

Responsibility centers & reporting segments

Hold each manager accountable for what that manager can significantly influence, and report segments so that their real economic contribution is visible.

The four responsibility centersWhat each manager controls and how each is measured

Controllability is the organizing rule. A manager should be evaluated on revenues, costs and assets that the manager can significantly influence. It does not require complete control; shared influence is normal.

Responsibility center types
Center Manager controls Evaluated on Example
Cost (engineered) Costs, with clear input–output links Flexible-budget cost variances, quality Assembly line, plant
Cost (discretionary) Costs without measurable output Staying within budget, quality of service R&D, HR, legal
Revenue Revenue and own selling costs Sales price, volume, mix and share variances Regional sales office
Profit Revenues and costs Contribution and controllable margin Product line, store
Investment Revenues, costs and invested capital ROI, residual income, EVA Autonomous division
Exam trapA manager who sets prices and controls costs but cannot buy or sell productive assets runs a profit center, not an investment center. Evaluating that manager on ROI violates controllability.
Exam trapA discretionary cost center cannot be judged on output efficiency, because there is no engineered link between spending and output. Spending less than budget is not automatically good.
Contribution-format segment reportingEvaluate the manager on controllable margin, the segment on segment margin
Segment income hierarchy
$$\text{Sales} - \text{Variable costs} = \text{Contribution margin}$$ $$\text{CM} - \text{Controllable fixed costs} = \text{Controllable margin}$$ $$\text{Controllable margin} - \text{Other traceable fixed costs} = \text{Segment margin}$$ $$\sum \text{Segment margins} - \text{Common costs} = \text{Operating income}$$

Common costs are shown once, at company level, not allocated to segments.

  • Controllable margin evaluates the manager: it subtracts only fixed costs the manager can change (local staff, local advertising).
  • Segment margin evaluates the segment: it also subtracts fixed costs traceable to the segment but decided elsewhere (equipment depreciation, the segment manager's salary).
  • A traceable cost disappears if the segment is dropped (over the relevant horizon). A common cost remains.
Exam trapA segment that shows a loss only after allocated common costs should usually be kept. Compare the segment margin with zero (and with any opportunity cost of the capacity), not the bottom line after allocations.
Allocating common and shared costsAllocation bases, stand-alone vs incremental, budgeted rates

Companies still allocate shared costs (IT, a warehouse, headquarters) to price products, to make managers aware that the services are not free, and to discourage overuse. The basis matters, and so does whether managers can influence the result.

  • Cause and effect (cost drivers) is the preferred basis; benefits received is next; ability to bear (e.g. sales dollars) is the weakest and penalises successful segments.
  • Budgeted, not actual, rates: charging users actual service costs passes the service department's inefficiency on to them.
  • Dual-rate: charge fixed service costs as a lump sum based on capacity reserved, and variable costs on actual usage, so one user's usage does not shift fixed cost onto another.
Stand-alone method
$$\text{Share}_i = \text{Common cost} \times \frac{\text{Stand-alone cost}_i}{\sum \text{Stand-alone costs}}$$

Seen as fair: every user shares the saving from cooperating.

Incremental method
$$\text{Primary user} = \text{its stand-alone cost}; \quad \text{next user} = \text{remaining cost}$$

Users are ranked; later users pay only the incremental cost. Users argue to be ranked last.

Instructor noteExpect behavioral questions here: allocations that managers cannot influence demotivate, and arbitrary allocations can push managers into suboptimization, such as outsourcing a service the company provides more cheaply in total. Reports should be timely, flag exceptions, and separate controllable from non-controllable items.

Finished Responsibility centers?

Mark it complete when you can pick the right center and margin for any manager.

Topic 3 of 5

Transfer pricing

A transfer price splits one company's profit between two divisions. A good policy keeps divisional autonomy, evaluates managers fairly, and still leads to the decision that maximizes company profit.

The general rule: minimum and maximumIdle, partial and full capacity
Seller's minimum
$$TP_{min} = \text{Incremental cost per unit} + \text{Opportunity cost per unit}$$

Opportunity cost = contribution margin lost on external sales displaced by the transfer.

Buyer's maximum
$$TP_{max} = \min(\text{outside purchase price},\ \text{buyer's net value of the item})$$

A transfer helps the company whenever \(TP_{min} \le TP_{max}\).

  • Idle capacity: nothing is displaced, so the minimum is the seller's incremental (usually variable) cost, less any costs avoided on internal sales.
  • Full capacity: each unit transferred displaces an outside sale, so the minimum is the market price less costs avoided internally.
  • Partial capacity: only units beyond the idle capacity carry an opportunity cost, so the minimum per unit is a weighted average.
Exam trapOpportunity cost applies only to units that displace outside sales. With 6,000 idle units and an order for 10,000, only 4,000 units carry lost contribution, so the minimum is a weighted average, not the full market price.
Exam trapDeduct costs avoided on internal transfers (commissions, packaging, shipping) from the seller's incremental cost. Forgetting them overstates the minimum.
Methods comparedMarket, cost-based, negotiated and dual pricing
Transfer-pricing methods compared
Method Strength Weakness Best when
Market-based Objective; reflects opportunity cost; preserves autonomy No market, distress prices, ignores idle-capacity benefit A competitive outside market exists
Variable cost Gives the right short-run company decision Seller earns nothing on transfers; no incentive Seller has idle capacity
Full cost (plus markup) Simple; seller recovers fixed costs Buyer treats seller's fixed cost as variable; actual cost passes on inefficiency Long-run supply contracts at standard cost
Negotiated Autonomy; both divisions can gain Time-consuming; reflects bargaining power; may need arbitration Managers have good information and an outside option
Dual pricing Both divisions motivated to transfer Divisional profits exceed company profit; must be eliminated; weak cost pressure Transfers are strategically important
Instructor noteWith dual pricing, the seller records a market-based price and the buyer records the seller's variable cost; corporate absorbs the difference. It ends arguments but can make both divisions look better than the company really is.
Exam trapUnder a full-cost transfer price, the buyer sees the seller's fixed cost as a variable cost of its own. It may then reject a special order or outsourcing decision that is profitable for the company as a whole.
Multinational transfer pricingIncome taxes, import duties and the arm's-length standard
  • The company goal is maximum total after-tax profit, not one division's result.
  • A higher transfer price moves taxable income to the selling country but raises any import duty, which is levied on the transfer price.
  • Tax authorities require an arm's-length price (US IRC §482; OECD guidelines), supported by documentation. Prices outside the acceptable range invite adjustments and penalties.
  • Currency controls, repatriation limits, political risk and local minority shareholders also shape the policy.
Company after-tax profit for one transfer price
$$(TP - C_s)(1 - t_s) + \big[R - TP - C_b - d \cdot TP\big](1 - t_b)$$
Cs, Cb
seller's cost; buyer's other costs per unit
R
buyer's resale price
ts, tb, d
seller tax rate, buyer tax rate, import duty rate on TP
Exam trap"Shift income to the low-tax country" is not automatically right. Import duties on the transfer price, withholding taxes and arm's-length limits can reverse the answer, so compute the total.

Finished Transfer pricing?

Mark it complete when you can find the range at idle, partial and full capacity.

Topic 4 of 5

Performance measures

Choose measures that make managers do what is best for the company. Know each formula, then know how each one can mislead.

Product and customer profitabilityGross margin is not customer profit

Customers consume resources differently: order frequency, rush deliveries, returns, support calls. Customer profitability analysis assigns these cost-to-serve activities with activity-based rates. Ranking customers by profit usually produces a "whale curve": a minority of customers generate more than all the profit, and the least profitable customers destroy part of it.

Customer profitability
$$\text{Profit} = \text{Revenue} - \text{Product cost} - \text{Cost to serve}$$ $$\text{Cost to serve} = \sum \text{rate}_k \times \text{qty}_k$$

Use revenue net of discounts and returns. Product-line profitability works the same way, with product-sustaining costs.

Exam trapDo not drop an unprofitable customer automatically. Ask which costs actually disappear (many cost-to-serve costs are capacity costs in the short run) and whether the customer's behavior can be changed first.
Return on investment (ROI)DuPont breakdown, asset-base choices, dysfunctional rejection
ROI and the DuPont breakdown
$$ROI = \frac{\text{Operating income}}{\text{Avg. invested assets}}$$ $$ROI = \underbrace{\frac{OI}{\text{Sales}}}_{\text{margin}} \times \underbrace{\frac{\text{Sales}}{\text{Avg. assets}}}_{\text{turnover}}$$

Raise ROI by raising margin, raising turnover, or both.

  • Asset base choices: total assets, assets employed (excluding idle assets), net book value, or gross book value.
  • Net book value makes ROI rise as assets age, rewarding managers who postpone replacing equipment. Gross book value removes this effect.
  • Use average assets when income is earned over a period and the asset base changed during it.
Exam trapA manager evaluated on ROI compares a project with the division's current ROI, not with the company's required return. A division at 22.5% will turn down an 18% project even if capital costs 15%. That is the goal-congruence failure the exam loves.
Residual income and EVADollar measures that charge for capital
Residual income
$$RI = \text{Operating income} - (\text{Required rate} \times \text{Invested assets})$$

Accept any project with positive incremental RI, i.e. a return above the required rate.

Economic value added convention
$$EVA = NOPAT - WACC \times (\text{Total assets} - \text{Current liabilities})$$

NOPAT = operating income × (1 − tax rate). WACC is an after-tax rate.

  • RI fixes the ROI rejection problem: every project earning more than the hurdle rate raises RI.
  • RI and EVA are absolute dollar amounts, so larger divisions show larger numbers. Do not rank different-sized divisions on them directly.
  • EVA uses after-tax profit and the WACC, and may adjust accounting figures (e.g. capitalize R&D) to reflect economic reality.
Exam trapEVA mixes three easy errors: using pre-tax income instead of NOPAT, charging capital on total assets instead of total assets less current liabilities, and using a pre-tax hurdle rate instead of the after-tax WACC. Each is a planted distractor.
Balanced scorecard, KPIs and CSFsFour linked perspectives that translate strategy into measures

Critical success factors are the few things the strategy must get right. The balanced scorecard turns them into KPIs across four perspectives, linked by cause and effect in a strategy map.

Balanced scorecard perspectives
Perspective Question Sample KPIs Indicator type
Financial How do shareholders see us? ROI, RI, EVA, revenue growth, cash flow Lagging
Customer How do customers see us? Market share, retention, satisfaction, on-time delivery Mostly lagging
Internal business process What must we excel at? Cycle time, defect rate, yield, MCE, time to market Leading
Learning and growth Can we keep improving? Training hours, skills coverage, staff turnover, system capability Leading
flowchart BT
  L[Learning & growth: trained staff, better systems] --> P[Internal process: shorter cycle time, fewer defects]
  P --> C[Customer: on-time delivery, retention]
  C --> F[Financial: revenue growth, ROI]
Manufacturing cycle efficiency
$$MCE = \frac{\text{Value-added (processing) time}}{\text{Process} + \text{Inspection} + \text{Move} + \text{Queue time}}$$

An internal-process KPI. Only processing time adds value; MCE of 1 means no waiting, moving or inspecting.

  • Leading indicators predict future results (training, defects); lagging indicators report results already achieved (profit, ROI).
  • Good KPIs are tied to strategy, few in number, a mix of financial and non-financial, controllable by the person evaluated, timely and objectively measured.
Exam trapA scorecard is not four unrelated lists. Without cause-and-effect links (learning → process → customer → financial) it becomes a dashboard of disconnected numbers. Too many measures also dilute focus.
Instructor noteEssay questions often ask you to recommend measures for a scenario. Name one measure per perspective, say whether it is leading or lagging, and explain the link to the stated strategy. That structure earns most of the marks.

Finished Performance measures?

Mark it complete when you can explain why RI can beat ROI and design a four-perspective scorecard.

Topic 5 of 5

Standard costing systems

Standards are the yardstick behind every variance. Set them well, record the variances correctly, and dispose of them at period end.

Setting standardsIdeal, practical, and how they are built
Types of standards
Standard Assumes Effect
Ideal (theoretical) Perfect efficiency: no waste, downtime or spoilage Constant unfavorable variances; demotivating; useful only as a kaizen aspiration
Practical (attainable) Efficient work with normal breaks, setups, spoilage Preferred for budgeting, inventory and evaluation; variances are meaningful
Historical / expected actual Past or expected performance Builds in past inefficiency; too loose to drive improvement
  • Sources: engineering studies (accurate, costly), adjusted historical data, benchmarking, and participation by the people who will be measured.
  • Participation improves acceptance but invites budgetary slack.
  • Price standards include freight and are net of discounts; quantity standards include normal waste; labor rates include payroll taxes and fringe benefits.
Standard cost card
$$\text{Std cost} = SQ \cdot SP + SH \cdot SR + SH \cdot SVOR + SH \cdot SFOR$$

Overhead rates = budgeted overhead ÷ denominator activity (normal or practical capacity).

Exam trapIdeal standards do not maximize performance. When a target looks impossible, people stop trying and stop reporting honestly. The exam answer for budgeting and evaluation is almost always practical standards.
Recording variancesJournal entries in a standard cost system

Inventories and work in process are carried at standard. Each variance gets its own account: unfavorable variances are debits (extra cost) and favorable variances are credits.

Exam trapWhen the price variance is isolated at purchase, materials inventory is debited at standard price × actual quantity purchased, not at actual cost and not at standard quantity.
Disposing of variancesClose to cost of goods sold, or prorate
  • Immaterial variances are closed to cost of goods sold.
  • Material variances are prorated to work in process, finished goods and cost of goods sold (and materials inventory for a price variance recognized at purchase), in proportion to the standard cost in each account, so that inventories approximate actual cost as GAAP requires.
Proration
$$\text{Share}_k = \text{Net variance} \times \frac{\text{Ending balance}_k \text{ at standard}}{\sum \text{balances}}$$
Investigating variances, and the limits of standardsManagement by exception and behavioral side effects
  • Management by exception: investigate based on size (dollars and percent), recurrence, trend, controllability, and whether the expected benefit exceeds the cost of investigating.
  • Statistical control charts separate random variation from an out-of-control process: investigate points outside the limits or non-random runs.
  • Investigate large favorable variances too: cheap materials, skipped maintenance or a loose standard can all look favorable.
  • Limits: standards go stale in fast-changing processes; price-variance pressure encourages bulk or low-quality buying (at odds with JIT and TQM); efficiency pressure encourages building unneeded inventory.
Exam trap"Favorable" does not mean "good". A favorable materials price variance followed by unfavorable usage and labor efficiency variances usually means purchasing bought inferior material.
Instructor noteRevise standards when methods, designs or input prices change materially, never just to make poor performance disappear. Using practical capacity as the denominator keeps the cost of unused capacity visible as a volume variance.

Finished Standard costing systems?

Mark it complete when you can journalise variances and decide how to dispose of them.

Calculators

Interactive tools

Each tool is pre-filled with an example from the lessons. Change any input; the results show the formula, your numbers, and what they mean.

Variance calculator

Materials, labor, overhead (4-, 3- and 2-way) and two-product sales variances. F/U is decided by the effect on operating income.

Direct materials

Price variance at purchase (quantity purchased); usage variance on quantity used.

ROI, RI and EVA comparator

See how a proposed project changes each measure, and whether a manager judged on that measure would accept it.

Division and project

Transfer-price range finder

Works for idle, partial and full capacity. Costs avoided on internal sales reduce the seller's minimum.

Seller and buyer

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