Managerial and Cost Accounting

Managerial and cost accounting provides the internal information managers need to plan, control, and evaluate operations. Unlike financial accounting—which produces GAAP-compliant reports for external users—cost accounting focuses on measuring the cost of products, services, and activities so that managers can make better decisions. The BAR section of the CPA exam tests your ability to classify costs, apply costing methods, perform variance analysis, and interpret sales results.

Why This Matters

The BAR blueprints require you to calculate fixed, variable, and mixed costs; describe and use absorption, variable, activity-based, process, and job-order costing; derive variance analysis methods; and interpret sales results through price, volume, and mix analysis. Every topic in this chapter maps directly to a testable task.

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Cost Classifications

Before selecting a costing method, you must understand how costs behave in relation to changes in activity.

Fixed, Variable, and Mixed Costs

Cost Behavior	Definition	Example
Fixed	Total cost stays constant within the relevant range regardless of activity level	Annual building lease of $120,000
Variable	Total cost changes in direct proportion to activity	Direct materials at $4 per unit
Mixed (semi-variable)	Contains both a fixed component and a variable component	Utility bill with a $500 base charge plus$0.08 per machine-hour
Step-fixed	Fixed over a range of activity but jumps to a new level once a threshold is crossed	One supervisor per 30 employees; a second is hired at employee 31

Exam Tip

On a per-unit basis the behavior flips: fixed costs per unit decrease as volume rises, while variable costs per unit remain constant. Questions often test whether you can distinguish total behavior from per-unit behavior.

Direct vs. Indirect Costs

Classification	Definition	Example
Direct cost	Can be traced to a specific cost object economically and conveniently	Wood used in a furniture product line
Indirect cost	Cannot be conveniently traced; must be allocated	Factory rent shared by all product lines

Whether a cost is direct or indirect depends on the cost object. Salary for a department manager is a direct cost of the department but an indirect cost of an individual product.

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Separating Mixed Costs — The High-Low Method

The high-low method estimates the variable and fixed components of a mixed cost using only the highest and lowest activity levels.

$$\text{Variable Cost per Unit} = \frac{\text{Cost at High Activity} - \text{Cost at Low Activity}}{\text{High Activity} - \text{Low Activity}}$$

Once the variable rate is known, solve for fixed cost at either point:

$$\text{Fixed Cost} = \text{Total Cost} - (\text{Variable Rate} \times \text{Activity Level})$$

Worked Example — Bear Co. Utilities

Bear Co. recorded the following utility costs over the past six months:

Month	Machine-Hours	Utility Cost
January	2,000	$2,100
February	3,200	$2,860
March	2,800	$2,580
April	4,000	$3,300
May	1,600	$1,880
June	3,600	$3,060

Step 1 — Identify the high and low points:

• High: April — 4,000 hours, $3,300
• Low: May — 1,600 hours, $1,880

Step 2 — Variable rate:

$$\text{Variable Rate} = \frac{\$3{,}300 - \$1{,}880}{4{,}000 - 1{,}600} = \frac{\$1{,}420}{2{,}400} \approx \$0.592 \text{ per machine-hour}$$

Step 3 — Fixed cost (using the high point):

$$\text{Fixed Cost} = \$3{,}300 - (\$0.592 \times 4{,}000) = \$3{,}300 - \$2{,}368 = \$932$$

The cost formula is: Total Utility Cost = $932 +$0.592 per machine-hour.

note

The high-low method is simple but uses only two data points, making it sensitive to outliers. Regression analysis is more accurate when data is available, but the high-low method is the most commonly tested technique on the CPA exam.

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Costing Methods

Job-Order Costing

Job-order costing tracks costs to individual jobs, batches, or contracts. It is appropriate when products or services are distinct and identifiable—such as custom furniture, construction projects, or audit engagements.

Flow of costs:

1. Direct materials and direct labor are traced to specific jobs.
2. Manufacturing overhead is applied to jobs using a predetermined overhead rate (POHR).

$$\text{POHR} = \frac{\text{Estimated Total Manufacturing Overhead}}{\text{Estimated Total Allocation Base}}$$

Example — Gies Co. estimates annual overhead of $600,000 and expects 40,000 direct labor hours.

$$\text{POHR} = \frac{\$600{,}000}{40{,}000 \text{ DLH}} = \$15 \text{ per DLH}$$

If Job 301 uses 120 direct labor hours, applied overhead is $15 × 120 = **$1,800**.

Debit

Credit

Work-in-Process Inventory

$1,800

Manufacturing Overhead

$1,800

At year-end, any difference between actual and applied overhead is either overapplied (credit balance—favorable) or underapplied (debit balance—unfavorable) and typically closed to Cost of Goods Sold.

Process Costing

Process costing accumulates costs by department or process rather than by job. It is used in continuous or mass-production environments—chemicals, beverages, petroleum refining.

The key concept is equivalent units of production (EUP)—converting partially completed units into the number of fully completed units they represent.

Method	Beginning WIP Treatment	Best For
Weighted average	Blends beginning WIP costs with current-period costs	Simpler calculations; stable cost environments
FIFO	Separates beginning WIP costs from current-period costs	More accurate current-period unit costs

Equivalent Units — FIFO Example — MAS Inc.

MAS Inc.'s Mixing Department reports the following for June:

Item	Units	% Complete (Conversion)
Beginning WIP	3,000	40%
Started during June	18,000	—
Completed and transferred out	17,000	100%
Ending WIP	4,000	25%

FIFO equivalent units for conversion costs:

$$\text{EUP} = (3{,}000 \times 60\%) + (14{,}000 \times 100\%) + (4{,}000 \times 25\%)$$ $$\text{EUP} = 1{,}800 + 14{,}000 + 1{,}000 = 16{,}800$$

The 60% for beginning WIP reflects the work remaining (100% − 40% already completed).

Activity-Based Costing (ABC)

ABC refines overhead allocation by assigning costs to activities (cost pools) and then to products using cost drivers that reflect actual resource consumption.

Step	Action
1	Identify major activities (e.g., machine setups, quality inspections, material handling)
2	Assign overhead costs to each activity cost pool
3	Select a cost driver for each pool (e.g., number of setups, inspection hours)
4	Compute an activity rate for each pool
5	Allocate costs to products based on their consumption of each driver

Example — Kingfisher Industries manufactures two products:

Activity Pool	Total Cost	Cost Driver	Total Driver Volume
Machine setups	$180,000	Number of setups	600
Quality inspections	$90,000	Inspection hours	1,500

Activity rates:

$$\text{Setup Rate} = \frac{\$180{,}000}{600} = \$300 \text{ per setup}$$ $$\text{Inspection Rate} = \frac{\$90{,}000}{1{,}500} = \$60 \text{ per inspection hour}$$

If Product A requires 200 setups and 900 inspection hours, its allocated overhead is (200 × $300) + (900 ×$60) = $60,000 +$54,000 = $114,000.

warning

ABC often shifts costs from high-volume products to low-volume products because low-volume products tend to consume a disproportionate share of batch-level and product-level activities. Exam questions may ask you to compare ABC results with traditional overhead allocation and explain the difference.

Absorption Costing vs. Variable Costing

The key difference is the treatment of fixed manufacturing overhead (FMOH).

Feature	Absorption Costing	Variable Costing
Required by GAAP?	Yes	No (internal use only)
FMOH treatment	Product cost (inventoried)	Period cost (expensed immediately)
Income statement format	Traditional (COGS-based)	Contribution margin format

Income reconciliation:

$$\text{Absorption Income} - \text{Variable Income} = \text{Change in Inventory (units)} \times \text{Fixed MOH per unit}$$

• When production > sales, absorption income is higher (fixed costs are deferred in inventory).
• When production < sales, absorption income is lower (previously deferred fixed costs flow into COGS).
• When production = sales, both methods yield the same income.

Example — BIF Partners

BIF Partners produces 10,000 units and sells 8,000. Fixed MOH totals $200,000, so fixed MOH per unit is$20.

$$\text{Absorption Income} - \text{Variable Income} = (10{,}000 - 8{,}000) \times \$20 = \$40{,}000$$

Absorption income exceeds variable income by $40,000 because$40,000 of fixed MOH remains in ending inventory under absorption costing.

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Standard Costing and Variance Analysis

Standard costing assigns predetermined costs to products and then compares actual results to the standard. Differences—called variances—highlight areas that need management attention.

Direct Materials Variances

$$\text{Materials Price Variance (MPV)} = (\text{AQ Purchased}) \times (\text{AP} - \text{SP})$$ $$\text{Materials Quantity Variance (MQV)} = (\text{AQ Used} - \text{SQ Allowed}) \times \text{SP}$$

Where AQ = actual quantity, AP = actual price, SP = standard price, SQ = standard quantity allowed for actual output.

Example — Illini Entertainment

Illini Entertainment sets a standard of 3 lbs of material per unit at $5/lb. During the month, the company produced 2,000 units, purchased 6,500 lbs at$5.20/lb, and used 6,300 lbs.

• MPV = 6,500 × ($5.20 −$5.00) = 6,500 × $0.20 = **$1,300 Unfavorable**
• SQ Allowed = 2,000 × 3 = 6,000 lbs
• MQV = (6,300 − 6,000) × $5.00 = 300 ×$5.00 = $1,500 Unfavorable

Direct Labor Variances

$$\text{Labor Rate Variance (LRV)} = \text{AH} \times (\text{AR} - \text{SR})$$ $$\text{Labor Efficiency Variance (LEV)} = (\text{AH} - \text{SH Allowed}) \times \text{SR}$$

Where AH = actual hours, AR = actual rate, SR = standard rate, SH = standard hours allowed.

Example — Illini Entertainment (continued)

Standard: 0.5 hours per unit at $18/hr. Actual: 1,050 hours at$17.50/hr for 2,000 units.

• LRV = 1,050 × ($17.50 −$18.00) = 1,050 × (−$0.50) = **$525 Favorable**
• SH Allowed = 2,000 × 0.5 = 1,000 hours
• LEV = (1,050 − 1,000) × $18.00 = 50 ×$18.00 = $900 Unfavorable

Overhead Variances

Overhead variances can be analyzed using a two-way or three-way decomposition.

Three-way analysis:

Variance	Formula
Spending	Actual OH − (Budgeted Fixed OH + Variable OH Rate × Actual Hours)
Efficiency	(Actual Hours − Standard Hours Allowed) × Variable OH Rate
Volume	(Standard Hours Allowed − Denominator Hours) × Fixed OH Rate

Two-way analysis:

Variance	Components
Budget (controllable)	Spending + Efficiency
Volume	Same as three-way volume variance

Exam Tip

The volume variance relates only to fixed overhead. It measures whether the company operated at, above, or below the denominator (budgeted) activity level used to set the fixed overhead rate. A favorable volume variance means actual activity exceeded the denominator level.

Example — Illini Security

Illini Security budgets 5,000 standard machine-hours per month. Budgeted fixed overhead is $50,000 and the variable overhead rate is$6 per machine-hour. Actual results: 4,800 actual hours worked, 4,600 standard hours allowed, and actual overhead of $82,000.

• Fixed OH Rate = $50,000 ÷ 5,000 =$10 per hour
• Spending = $82,000 − ($50,000 + $6 × 4,800) =$82,000 − $78,800 = **$3,200 Unfavorable**
• Efficiency = (4,800 − 4,600) × $6 = **$1,200 Unfavorable**
• Volume = (4,600 − 5,000) × $10 = **$4,000 Unfavorable**

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Cost-Volume-Profit (CVP) Analysis

CVP analysis examines how changes in costs and volume affect operating income. It rests on the contribution margin—the portion of revenue that remains after deducting variable costs.

$$\text{Contribution Margin per Unit} = \text{Selling Price} - \text{Variable Cost per Unit}$$ $$\text{Contribution Margin Ratio} = \frac{\text{Contribution Margin per Unit}}{\text{Selling Price}}$$

Breakeven Point

$$\text{Breakeven (units)} = \frac{\text{Total Fixed Costs}}{\text{CM per Unit}}$$ $$\text{Breakeven (dollars)} = \frac{\text{Total Fixed Costs}}{\text{CM Ratio}}$$

Target Profit

$$\text{Units for Target Profit} = \frac{\text{Fixed Costs} + \text{Target Profit}}{\text{CM per Unit}}$$

Margin of Safety

$$\text{Margin of Safety} = \text{Actual (or Budgeted) Sales} - \text{Breakeven Sales}$$ $$\text{Margin of Safety \%} = \frac{\text{Margin of Safety}}{\text{Actual Sales}} \times 100$$

Worked Example — Gies Co.

Gies Co. sells a product for $50 per unit. Variable cost is$30 per unit and total fixed costs are $160,000.

• CM per unit = $50 −$30 = $20
• CM ratio = $20 ÷$50 = 40%
• Breakeven = $160,000 ÷$20 = 8,000 units (or $160,000 ÷ 0.40 = **$400,000**)
• **Target profit of $60,000** → ($160,000 + $60,000) ÷$20 = 11,000 units
• If budgeted sales are 10,000 units ($500,000), **margin of safety** =$500,000 − $400,000 = **$100,000 (20%)**

caution

CVP analysis assumes a constant sales mix, linear cost behavior, and that all costs can be classified as either fixed or variable. When these assumptions are violated, results should be interpreted with caution.

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Sales Analysis — Price, Volume, and Mix Variances

When actual sales differ from budget, management needs to know why. Sales variances decompose the total revenue variance into its component drivers.

Sales Price Variance

$$\text{Sales Price Variance} = (\text{Actual Price} - \text{Budgeted Price}) \times \text{Actual Quantity Sold}$$

Sales Volume Variance

$$\text{Sales Volume Variance} = (\text{Actual Quantity} - \text{Budgeted Quantity}) \times \text{Budgeted Price}$$

Sales Mix Variance

When a company sells multiple products, the mix variance isolates the effect of selling a different proportion of products than planned.

$$\text{Sales Mix Variance} = (\text{Actual Mix \%} - \text{Budgeted Mix \%}) \times \text{Total Actual Units} \times \text{Budgeted CM per Unit}$$

Worked Example — Bear Co. Multi-Product Sales

Bear Co. budgeted and actual results for two products:

Product	Budgeted Units	Budgeted Price	Budgeted CM/Unit	Actual Units	Actual Price
Alpha	6,000	$40	$16	5,500	$42
Beta	4,000	$60	$30	5,500	$58
Total	10,000			11,000

Budgeted mix: Alpha 60%, Beta 40%. Actual mix: Alpha 50%, Beta 50%.

Sales price variances:

• Alpha: ($42 −$40) × 5,500 = $11,000 Favorable
• Beta: ($58 −$60) × 5,500 = $11,000 Unfavorable

Sales mix variances (using budgeted CM):

• Alpha: (50% − 60%) × 11,000 × $16 = −0.10 × 11,000 ×$16 = $17,600 Unfavorable
• Beta: (50% − 40%) × 11,000 × $30 = 0.10 × 11,000 ×$30 = $33,000 Favorable
• Net mix variance = −$17,600 +$33,000 = $15,400 Favorable

The net favorable mix variance tells Bear Co. that the shift toward the higher-margin Beta product more than offset the decline in Alpha's share.

Exam Tip

A favorable sales mix variance occurs when the actual mix shifts toward products with higher contribution margins. Always compute mix variances using budgeted contribution margin per unit, not selling price, so that the analysis reflects profitability impact.

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Summary of Key Formulas

Formula	Equation
High-low variable rate	(High cost − Low cost) ÷ (High activity − Low activity)
POHR	Estimated total MOH ÷ Estimated total allocation base
Materials price variance	AQ purchased × (AP − SP)
Materials quantity variance	(AQ used − SQ allowed) × SP
Labor rate variance	AH × (AR − SR)
Labor efficiency variance	(AH − SH allowed) × SR
Breakeven (units)	Fixed costs ÷ CM per unit
Breakeven (dollars)	Fixed costs ÷ CM ratio
Margin of safety	Actual sales − Breakeven sales
Sales price variance	(Actual price − Budgeted price) × Actual quantity
Sales volume variance	(Actual quantity − Budgeted quantity) × Budgeted price
Sales mix variance	(Actual mix % − Budgeted mix %) × Total actual units × Budgeted CM/unit

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Chapter Recap

Key Takeaways

1. Cost behavior — Fixed costs are constant in total; variable costs are constant per unit. Mixed costs require separation (high-low method or regression).
2. Costing methods — Job-order costing traces costs to individual jobs; process costing averages costs over equivalent units; ABC assigns costs through activity cost pools and drivers; absorption costing capitalizes fixed MOH while variable costing expenses it immediately.
3. Variance analysis — Compare actual results to standards. Materials variances split into price and quantity; labor variances split into rate and efficiency; overhead variances split into spending, efficiency, and volume (three-way) or budget and volume (two-way).
4. CVP analysis — Contribution margin drives breakeven, target profit, and margin of safety calculations. Assumes linear behavior and constant mix.
5. Sales analysis — Decompose revenue variances into price, volume, and mix components to identify the true drivers of performance versus plan.