15.2 Standard Costing & Variance Analysis

Standard Costing & Variance Analysis

Standard costing is a foundational management control methodology that establishes predetermined cost benchmarks for direct materials, direct labor, and factory overhead against which actual operating performance is systematically measured. In the Philippine CPA Licensure Examination (CPALE), standard costing and variance analysis questions routinely test a candidate's mastery of variance decomposition, denominator activity adjustments, and the accounting disposition of cost variances under Philippine Accounting Standard (PAS) 2 (Inventories).

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1. Nature, Purpose, and Establishment of Standard Costs

A standard cost is a carefully predetermined measure of what a unit of product or service should cost under specified operating conditions. While an estimated cost represents an anticipation of actual historical trends and a budget represents an aggregate operational plan expressed in monetary terms, a standard cost expresses a unit-level engineering and managerial benchmark.

Primary Purposes of a Standard Costing System

1. Management Control and Performance Evaluation: Enables the principle of management by exception, directing managerial attention strictly to significant deviations (variances) from standard.
2. Product Costing and Inventory Valuation: Simplifies cost accumulation records, as inventories of raw materials, work in process, and finished goods are carried at uniform standard costs.
3. Budget Preparation and Cash Forecasting: Provides validated unit inputs for master budgeting, cash planning, and flexible budget formulation.
4. Operational Cost Reduction: Encourages continuous improvement and highlights inefficient material conversion or labor downtime.

Setting Standards: Ideal vs Currently Attainable Standards

The Standard Cost Card

A standard cost card outlines the standard quantities ($SQ$) and standard rates ($SP$, $SR$, $POHR$) required to produce one unit of finished product:

$\text{Standard Unit Cost} = (SQ_{\text{DM}} \times SP_{\text{DM}}) + (SH_{\text{DL}} \times SR_{\text{DL}}) + (SH_{\text{DL}} \times VOHR) + (SH_{\text{DL}} \times FOHR)$

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2. Direct Material Variances

Direct material variance analysis decomposes the total direct material cost variance into price and quantity dimensions:

$\text{Total Material Variance} = (AQ \times AP) - (SQ \times SP)$

                             Direct Material Variance Decomposition
                                               │
                     ┌─────────────────────────┴─────────────────────────┐
                     ▼                                                   ▼
         Material Price Variance (MPV)                      Material Quantity Variance (MQV)
            Responsibility: Purchasing                         Responsibility: Production
            Formula: AQ * (AP - SP)                            Formula: SP * (AQ - SQ)

Material Price Variance (MPV)

The Material Price Variance reflects the difference between the actual unit purchase price ($AP$) and the standard unit purchase price ($SP$), multiplied by actual quantity ($AQ$):

$MPV = AQ \times (AP - SP) = (AQ \times AP) - (AQ \times SP)$

• Unfavorable ($U$): $AP > SP$ (actual outlay exceeds standard expectation).
• Favorable ($F$): $AP < SP$ (actual outlay is less than standard expectation).

Point of Purchase vs Point of Issuance

On the CPALE, the timing of MPV isolation is a critical distinction:

1. Point of Purchase (Standard Practice): $MPV = AQ_{\text{purchased}} \times (AP - SP)$. Raw Materials Inventory is recorded at standard cost upon receipt. This isolates the purchasing variance immediately, providing timely feedback to procurement officers.
2. Point of Issuance (Consumption): $MPV = AQ_{\text{used}} \times (AP - SP)$. Raw Materials Inventory is recorded at actual cost, and MPV is deferred until materials are requisitioned into production. This delays variance reporting and impairs managerial accountability.

Material Quantity (Usage) Variance (MQV)

The Material Quantity Variance evaluates operational efficiency in the factory, comparing the actual quantity of materials requisitioned ($AQ_{\text{used}}$) against the standard quantity allowed ($SQ$) for actual production, valued at standard price ($SP$):

$MQV = SP \times (AQ_{\text{used}} - SQ) = (AQ_{\text{used}} \times SP) - (SQ \times SP)$

$\text{Standard Quantity Allowed } (SQ) = \text{Actual Output in Units} \times \text{Standard Quantity per Unit}$

Critical Exam Rule: Never compute $SQ$ using budgeted or planned units. $SQ$ is always the standard input allowed for the actual units produced during the period.

Operational Causes of Material Variances

• Price Variance Causes: Market price fluctuations, purchasing higher or lower quality grades, changes in vendor volume discounts, expedited shipping freight charges, purchasing from unauthorized suppliers.
• Quantity Variance Causes: Substandard material grades (often caused by purchasing cheap materials, generating a favorable MPV but an unfavorable MQV), untrained machine operators, poorly maintained machinery, altered production specifications, scrap and shrinkage.

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3. Direct Labor Variances

Direct labor variance analysis isolates the economic impact of wage rate differentials and labor productivity:

$\text{Total Labor Variance} = (AH \times AR) - (SH \times SR)$

Labor Rate Variance (LRV)

The Labor Rate Variance isolates the difference between the actual hourly wage rate paid ($AR$) and the standard hourly wage rate ($SR$), multiplied by actual direct labor hours worked ($AH$):

$LRV = AH \times (AR - SR) = (AH \times AR) - (AH \times SR)$

• Unfavorable ($U$): $AR > SR$ (overtime premiums, wage hikes, using higher-skilled workers for low-skill tasks).
• Favorable ($F$): $AR < SR$ (using lower-skilled or apprentice workers, favorable market wage shifts).

Labor Efficiency Variance (LEV)

The Labor Efficiency Variance (or labor usage variance) measures the productivity of the workforce by comparing actual hours worked ($AH$) against standard hours allowed ($SH$), valued at the standard hourly wage rate ($SR$):

$LEV = SR \times (AH - SH) = (AH \times SR) - (SH \times SR)$

$\text{Standard Hours Allowed } (SH) = \text{Actual Output in Units} \times \text{Standard Labor Hours per Unit}$

Operational Causes of Labor Variances

• Rate Variance Drivers: Assignment of higher-grade technicians to routine assembly jobs, unexpected overtime penalties due to rushed customer orders, negotiated statutory wage increases.
• Efficiency Variance Drivers: Inadequate worker training, poor supervision, machine breakdowns causing idle time, defective raw materials requiring excessive re-work, optimized workflow ergonomics.

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4. Factory Overhead Variance Analysis

Factory overhead variance analysis is among the most heavily tested areas in the CPALE Management Services syllabus. Overhead includes both variable and fixed components that behave differently relative to operational activity.

Denominator Activity and Predetermined Overhead Rates

Overhead rates are established prior to the operating period based on a denominator activity level (normal capacity or practical capacity):

$\text{Variable Overhead Rate } (VOHR) = \frac{\text{Budgeted Variable Overhead at Normal Capacity}}{\text{Denominator Hours } (DH)}$

$\text{Fixed Overhead Rate } (FOHR) = \frac{\text{Budgeted Fixed Overhead}}{\text{Denominator Hours } (DH)}$

$\text{Total Standard Overhead Rate } (SOHR) = VOHR + FOHR$

$\text{Applied Factory Overhead} = SH \times SOHR = (SH \times VOHR) + (SH \times FOHR)$

$\text{Total Overhead Variance (Under/Overapplied)} = \text{Actual Total Overhead} - \text{Applied Total Overhead}$

• If $\text{Actual OH} > \text{Applied OH}$: Underapplied Overhead (Unfavorable).
• If $\text{Actual OH} < \text{Applied OH}$: Overapplied Overhead (Favorable).

Four-Way Overhead Variance Analysis

Four-way analysis provides the most detailed breakdown by splitting both variable and fixed overhead into spending and volume/efficiency components:

1. Variable Overhead Spending Variance: $\text{VOH Spending} = \text{Actual VOH} - (AH \times VOHR)$ Measures price deviations for indirect materials, lubricants, and utility rate variations per labor hour.

2. Fixed Overhead Spending (Budget) Variance: $\text{FOH Spending} = \text{Actual FOH} - \text{Budgeted FOH}$ Reflects deviations between actual fixed costs (e.g., factory insurance, supervisory salaries) and predetermined budget allowances.

3. Variable Overhead Efficiency Variance: $\text{VOH Efficiency} = (AH - SH) \times VOHR$ Measures the variable overhead consumed or saved strictly as a result of using more or fewer labor/machine hours than standard.

4. Fixed Overhead Volume Variance: $\text{FOH Volume} = \text{Budgeted FOH} - (SH \times FOHR) = (DH - SH) \times FOHR$ Measures the cost of capacity underutilization ($DH > SH$, Unfavorable) or overutilization ($DH < SH$, Favorable). Fixed overhead has no efficiency variance because fixed costs do not vary with operating hours.

Three-Way Overhead Variance Analysis

Combines the variable and fixed spending variances into a single spending variance:

1. Overhead Spending Variance: $\text{Spending Variance} = \text{Actual Total OH} - \text{Budget Allowed on Actual Hours (BAAH)}$ $\text{BAAH} = \text{Budgeted FOH} + (AH \times VOHR)$

2. Variable Overhead Efficiency Variance: $\text{Efficiency Variance} = (AH - SH) \times VOHR$

3. Fixed Overhead Volume Variance: $\text{Volume Variance} = \text{Budgeted FOH} - (SH \times FOHR) = (DH - SH) \times FOHR$

Two-Way Overhead Variance Analysis

Combines spending and efficiency into a single controllable metric:

1. Controllable (Budget) Variance: $\text{Controllable Variance} = \text{Actual Total OH} - \text{Budget Allowed on Standard Hours (BASH)}$ $\text{BASH} = \text{Budgeted FOH} + (SH \times VOHR)$ Note: Controllable Variance equals $\text{VOH Spending} + \text{FOH Spending} + \text{VOH Efficiency}$.

2. Volume (Capacity / Denominator) Variance: $\text{Volume Variance} = \text{BASH} - \text{Applied Total OH} = (DH - SH) \times FOHR$

Comprehensive Variance Mapping Matrix

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5. Comprehensive Worked Computational Example

Scenario: Marikina Manufacturing Corporation manufactures specialized industrial valves. The standard cost card for one finished valve reflects the following standards:

• Direct materials: $3\text{ kg}$ at $\text{PHP }60/\text{kg} = \text{PHP }180$
• Direct labor: $2\text{ hours}$ at $\text{PHP }150/\text{hour} = \text{PHP }300$
• Variable factory overhead: $2\text{ direct labor hours}$ at $\text{PHP }40/\text{hour} = \text{PHP }80$
• Fixed factory overhead: $2\text{ direct labor hours}$ at $\text{PHP }70/\text{hour} = \text{PHP }140$
• Denominator activity (Normal Capacity): $10{,}000\text{ direct labor hours}$ ($5{,}000\text{ valves}$)
• Budgeted Fixed Overhead: $10{,}000\text{ hours} \times \text{PHP }70 = \text{PHP }700{,}000$

Actual Operating Results for the Month:

• Actual valves produced: $4{,}800\text{ units}$
• Direct materials purchased: $16{,}000\text{ kg}$ at $\text{PHP }58/\text{kg} = \text{PHP }928{,}000$
• Direct materials used: $14{,}900\text{ kg}$
• Direct labor payroll: $9{,}850\text{ hours}$ at $\text{PHP }154/\text{hour} = \text{PHP }1{,}516{,}900$
• Actual variable overhead: $\text{PHP }410{,}000$
• Actual fixed overhead: $\text{PHP }715{,}000$
• Total actual overhead: $\text{PHP }1{,}125{,}000$

Step-by-Step Variance Calculations

1. Direct Material Variances

• Standard Quantity Allowed ($SQ$): $4{,}800\text{ units} \times 3\text{ kg} = 14{,}400\text{ kg}$
• MPV (Point of Purchase): $16{,}000\text{ kg} \times (\text{PHP }58 - \text{PHP }60) = 16{,}000 \times (-\text{PHP }2) = \text{PHP }32{,}000\text{ Favorable (F)}$
• MPV (Point of Issuance): $14{,}900\text{ kg} \times (\text{PHP }58 - \text{PHP }60) = 14{,}900 \times (-\text{PHP }2) = \text{PHP }29{,}800\text{ Favorable (F)}$
• Material Quantity Variance (MQV): $\text{PHP }60 \times (14{,}900\text{ kg} - 14{,}400\text{ kg}) = \text{PHP }60 \times 500\text{ kg} = \text{PHP }30{,}000\text{ Unfavorable (U)}$

2. Direct Labor Variances

• Standard Hours Allowed ($SH$): $4{,}800\text{ units} \times 2\text{ hours} = 9{,}600\text{ hours}$
• Labor Rate Variance (LRV): $9{,}850\text{ hours} \times (\text{PHP }154 - \text{PHP }150) = 9{,}850 \times \text{PHP }4 = \text{PHP }39{,}400\text{ Unfavorable (U)}$
• Labor Efficiency Variance (LEV): $\text{PHP }150 \times (9{,}850\text{ hours} - 9{,}600\text{ hours}) = \text{PHP }150 \times 250\text{ hours} = \text{PHP }37{,}500\text{ Unfavorable (U)}$
• Total Labor Variance: $\text{PHP }39{,}400\text{ U} + \text{PHP }37{,}500\text{ U} = \text{PHP }76{,}900\text{ Unfavorable (U)}$

3. Factory Overhead Variances

• Overhead Applied: $9{,}600\text{ SH} \times \text{PHP }110\text{ (SOHR)} = \text{PHP }1{,}056{,}000$
• Total Overhead Variance: $\text{PHP }1{,}125{,}000\text{ (Actual)} - \text{PHP }1{,}056{,}000\text{ (Applied)} = \text{PHP }69{,}000\text{ Underapplied (U)}$

Four-Way Breakdown:

1. $\text{VOH Spending} = \text{Actual VOH } (\text{PHP }410{,}000) - (9{,}850\text{ AH} \times \text{PHP }40) = 410{,}000 - 394{,}000 = \text{PHP }16{,}000\text{ U}$
2. $\text{FOH Spending} = \text{Actual FOH } (\text{PHP }715{,}000) - \text{Budgeted FOH } (\text{PHP }700{,}000) = \text{PHP }15{,}000\text{ U}$
3. $\text{VOH Efficiency} = (9{,}850\text{ AH} - 9{,}600\text{ SH}) \times \text{PHP }40 = 250 \times 40 = \text{PHP }10{,}000\text{ U}$
4. $\text{FOH Volume} = (10{,}000\text{ DH} - 9{,}600\text{ SH}) \times \text{PHP }70 = 400 \times 70 = \text{PHP }28{,}000\text{ U}$ $\text{Total 4-Way Sum} = 16{,}000\text{ U} + 15{,}000\text{ U} + 10{,}000\text{ U} + 28{,}000\text{ U} = \text{PHP }69{,}000\text{ Unfavorable}$

Three-Way Breakdown:

1. $\text{Spending Variance} = \text{Actual OH } (1{,}125{,}000) - [700{,}000 + (9{,}850 \times 40)] = 1{,}125{,}000 - 1{,}094{,}000 = \text{PHP }31{,}000\text{ U}$
2. $\text{VOH Efficiency} = (9{,}850 - 9{,}600) \times \text{PHP }40 = \text{PHP }10{,}000\text{ U}$
3. $\text{FOH Volume} = (10{,}000 - 9{,}600) \times \text{PHP }70 = \text{PHP }28{,}000\text{ U}$ $\text{Total 3-Way Sum} = 31{,}000\text{ U} + 10{,}000\text{ U} + 28{,}000\text{ U} = \text{PHP }69{,}000\text{ Unfavorable}$

Two-Way Breakdown:

1. $\text{Controllable Variance} = \text{Actual OH } (1{,}125{,}000) - [700{,}000 + (9{,}600 \times 40)] = 1{,}125{,}000 - 1{,}084{,}000 = \text{PHP }41{,}000\text{ U}$
2. $\text{Volume Variance} = (10{,}000\text{ DH} - 9{,}600\text{ SH}) \times \text{PHP }70 = \text{PHP }28{,}000\text{ U}$ $\text{Total 2-Way Sum} = 41{,}000\text{ U} + 28{,}000\text{ U} = \text{PHP }69{,}000\text{ Unfavorable}$

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6. Accounting Disposition of Variances

At the end of an accounting period, standard cost variances must be cleared from the ledger. Management and financial accountants follow distinct treatment based on materiality:

1. Direct Write-Off to Cost of Goods Sold

• When Applied: Variances are immaterial or result from normal operational inefficiencies.
• Accounting Treatment: Unfavorable variances are debited to Cost of Goods Sold (increasing expense), while favorable variances are credited to Cost of Goods Sold (reducing expense).

2. Proration Among WIP, Finished Goods, and COGS

• When Applied: Variances are material or arise from significant misestimations of standard costs or capacity levels.
• Mandate under PAS 2 (Inventories): Under PAS 2, paragraph 13, normal capacity represents production expected to be achieved on average over several periods. The amount of fixed overhead allocated to each unit of production is not increased as a consequence of low production. Unallocated overheads (unfavorable volume variance) are recognized as an expense in the period in which they are incurred. However, when standards are revised or material price/quantity variances distort ending inventory valuations, variances are allocated proportionately based on the relative ending standard cost balances of:
  1. Work in Process (WIP) Inventory
  2. Finished Goods (FG) Inventory
  3. Cost of Goods Sold (COGS)
• Note: Material Price Variance isolated at purchase is prorated across Raw Materials Inventory, WIP, Finished Goods, and COGS.

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7. Materials Mix and Yield Variances

When two or more materials (or labor grades) can be substituted for each other, the quantity (usage) variance splits into a mix variance and a yield variance.

$\text{Mix variance} = \sum(\text{Actual qty in actual mix} \times \text{Std price}) - (\text{Total actual qty} \times \text{Std weighted average price})$

$\text{Yield variance} = (\text{Total actual input} - \text{Std input allowed for actual output}) \times \text{Std weighted average price}$

Example. The standard mix is 60% material A (PHP 10 per kg) and 40% material B (PHP 20 per kg), a weighted average of PHP 14 per kg of input, and 100 kg of input should yield 80 kg of output. Actual inputs were 700 kg of A and 300 kg of B (1,000 kg) to produce 820 kg of output.

A favorable mix variance here comes from using more of the cheaper material; it should be weighed against quality effects. Labor mix and yield variances are computed the same way, with labor grades and standard wage rates in place of materials and prices.