Cost & Management Accounting

Chapter 3
Materials, Labor and Manufacturing Overheads

Bachelors Program in Finance Management
Cost & Management Accounting   •   Bachelor

Materials, Labor and Manufacturing Overheads

Introduction

Manufacturing cost is commonly analyzed through three elements: direct materials, direct labor, and manufacturing overheads. These elements are not merely bookkeeping categories. They support product costing, inventory valuation, pricing, budgeting, operational control, performance evaluation, and managerial decision-making.

Materials are physical inputs consumed in production. Labor represents employee effort used to transform inputs into outputs. Manufacturing overhead comprises indirect production costs that cannot be economically traced to individual units. Effective cost accounting therefore requires both accurate recording and appropriate allocation of costs to products, services, departments, and periods.

This chapter develops the procedures used to procure and control materials, remunerate labor, and allocate, apportion, absorb, and reconcile manufacturing overheads.

Learning Objectives

By the end of this chapter, a student should be able to:

  1. Explain the role of materials, labor, and manufacturing overheads in product costing.
  2. Apply economic order quantity, reorder-level, minimum-level, maximum-level, and average-stock techniques.
  3. Value inventories using accepted cost-flow methods.
  4. Distinguish time-based, output-based, and incentive labor remuneration systems.
  5. Allocate and apportion overheads among production and service departments.
  6. Calculate and apply overhead absorption rates.
  7. Explain and account for under- and over-absorption of overheads.
  8. Evaluate control, ethical, technological, and managerial implications of cost systems.

1. The Cost Elements

Direct and indirect costs

A direct cost can be traced economically and conveniently to a particular cost object, such as a product, contract, or service. Direct material and direct labor are the principal direct production costs. An indirect cost benefits several cost objects and must be allocated, apportioned, or absorbed using a rational basis.

Cost elementMeaningTypical examples
Direct materialMaterial identifiable with a productTimber in furniture, steel in a machine
Direct laborLabor directly engaged in productionMachine operator assembling a product
Manufacturing overheadIndirect production costFactory rent, indirect materials, maintenance

Prime cost is the sum of direct material, direct labor, and other direct expenses:

Prime cost = Direct material + Direct labor + Direct expenses

Factory or production cost is:

Production cost = Prime cost + Manufacturing overhead

These identities apply to manufacturing cost accumulation. Selling, distribution, and administrative costs are normally treated separately unless a particular costing system requires a broader product-cost measure.

Cost objects and cost centers

A cost object is anything for which cost is measured. A cost center is a department, location, machine group, or person for which costs are collected. Production departments physically transform products; service departments support production, for example maintenance, stores, power, and personnel.

2. Materials Management

Materials management seeks to ensure that the right quantity and quality of material is available at the right time and place, at the lowest total cost consistent with reliable production. Total material cost includes purchase price, ordering cost, storage cost, insurance, handling, deterioration, obsolescence, and stockout costs.

The materials cycle

A typical materials cycle is:

  1. User department prepares a materials requisition or purchase requisition.
  2. Purchasing obtains quotations and selects an approved supplier.
  3. A purchase order specifies quantity, quality, price, delivery, and terms.
  4. Receiving inspects and records the goods received.
  5. Stores issues materials against authorized material requisitions.
  6. The accounting system records purchase, issue, return, and closing inventory.
  7. Periodic stock counts compare physical quantities with records.

Segregation of duties is important: purchasing should not independently approve receipt and payment. This reduces fraud, duplicate payments, unauthorized purchases, and fictitious inventory.

Inventory records and control levels

A bin card records quantities held in a storage location. A stores ledger records quantities and monetary values. Perpetual inventory systems update balances after each receipt and issue; periodic systems determine usage and closing stock at intervals.

Important stock levels include:

  • Reorder level: the quantity at which a new order should be placed.
  • Minimum level: the lowest expected stock balance under normal conditions.
  • Maximum level: the upper quantity normally permitted.
  • Safety stock: inventory held to protect against demand or delivery uncertainty.

A commonly used reorder-level formula is:

Reorder level = Maximum usage × Maximum lead time

Here, usage is measured in units per period and lead time in periods. The formula assumes that maximum usage and maximum lead time are reasonable estimates and that replenishment arrives before stockout. Where demand and lead time are probabilistic, safety stock should be estimated from service-level and variability analysis rather than relying only on this rule.

A simple minimum-level formula is:

Minimum level = Reorder level − (Normal usage × Normal lead time)

A commonly used maximum-level formula is:

Maximum level = Reorder level + Reorder quantity − (Minimum usage × Minimum lead time)

These traditional formulas are control conventions, not universal laws. Organizations should adapt them for seasonality, supplier reliability, perishability, and strategic risk.

Economic order quantity

Economic order quantity (EOQ) identifies the order size that minimizes the sum of relevant ordering and carrying costs under simplifying assumptions.

EOQ = √((2DS) ÷ H)

Where:

  • D = annual demand in units;
  • S = ordering or setup cost per order;
  • H = annual holding cost per unit.

The formula assumes relatively stable demand, constant ordering and holding costs, instantaneous or known replenishment, no stockouts, and no quantity discounts. If holding cost is expressed as a percentage i of unit purchase price P, then H = iP per unit per year. Units are consistent because DS has currency-units per year and division by currency per unit-year produces units²; the square root produces units.

At EOQ, annual ordering cost is approximately equal to annual holding cost:

Annual ordering cost = (D ÷ Q) × S
Annual holding cost = (Q ÷ 2) × H

Here, Q is order quantity and average cycle stock is Q ÷ 2, assuming no safety stock.

Worked example. Annual demand is 24,000 units, ordering cost is $50 per order, and annual holding cost is $2 per unit.

EOQ = √((2 × 24,000 × 50) ÷ 2) = √1,200,000 ≈ 1,095 units

Orders per year are approximately 24,000 ÷ 1,095 = 21.9. EOQ does not necessarily represent the final order quantity where supplier discounts, minimum order sizes, storage limitations, or uncertain demand exist.

Inventory valuation

Inventory issues and closing inventory must be valued consistently. Common methods include:

  • Specific identification: assigns actual cost to identifiable items; suitable for unique, high-value items.
  • First-in, first-out (FIFO): assumes the earliest costs are issued first. In periods of rising prices, closing inventory tends to reflect more recent costs and reported profit may be higher than under older-cost assumptions.
  • Weighted-average cost: combines costs into an average cost per unit.

Under a moving-average system:

Average cost per unit = Total cost of units available ÷ Total units available

Inventory valuation must comply with the applicable financial reporting framework, including the requirement that inventories generally be measured at the lower of cost and net realizable value. Cost includes appropriate purchase and conversion costs but excludes abnormal waste, unrelated storage, and selling costs.

Illustration. Opening inventory is 100 units at $10. A receipt adds 200 units at $13. Total cost is $3,600 for 300 units, so average cost is $12 per unit. If 150 units are issued, issue cost is $1,800 and closing inventory is 150 units at $12, or $1,800, under a moving-average approach.

3. Labor Costing and Remuneration

Labor cost includes wages, salaries, employer contributions, paid leave, bonuses, and other employment-related benefits where relevant. Direct labor is traced to jobs through time sheets, electronic job records, or production records. Indirect labor, such as supervision, maintenance, and security, is included in manufacturing overhead.

A sound labor-cost system records attendance, time spent on jobs, idle time, overtime, output, and authorized leave. Payroll controls should reconcile attendance records, approved rates, payroll calculations, and payments.

Time-rate system

Under a time-rate system:

Earnings = Hours worked × Rate per hour

If an employee works 40 hours at $18 per hour, earnings are $720 before deductions. This system is simple and protects quality where output is difficult to measure, but it provides limited direct incentive for higher productivity.

Piece-rate system

Under a straight piece-rate system:

Earnings = Units produced × Rate per unit

If 360 acceptable units are produced at $2.50 each, earnings are $900. Quality inspection is essential because an output incentive can encourage defective production or unsafe working practices.

Incentive and bonus systems

A bonus system combines a guaranteed time wage with an incentive based on time saved or output. In a Halsey-type plan, the worker receives time taken multiplied by the rate plus an agreed share of time saved multiplied by the rate:

Earnings = (T × R) + (S × R × p)

Where T is time taken, R is hourly rate, S is time saved, and p is the worker’s share of savings. Since S = Standard time − Time taken, the plan rewards efficiency while retaining a time-based minimum.

Worked example. Standard time is 10 hours, actual time is 8 hours, hourly rate is $20, and the worker receives 50% of time saved.

Time earnings = 8 × $20 = $160. Bonus = 2 × $20 × 0.5 = $20. Total earnings = $180.

Overtime and idle time

Overtime premium is the additional amount above the normal wage rate. If overtime is worked for a specific customer’s urgent order, the premium may be charged directly to that job. If overtime results from general production pressure or poor scheduling, it is normally treated as manufacturing overhead.

Normal idle time, such as unavoidable waiting for instructions or materials, is usually included in manufacturing overhead. Abnormal idle time caused by unusual breakdowns, strikes, or serious inefficiency should be separately identified and charged according to the relevant accounting policy rather than hidden in normal product cost.

Labor systems must comply with employment law, minimum-wage requirements, working-time rules, nondiscrimination principles, health and safety requirements, and collective agreements. Manipulating performance standards to reduce wages is both unethical and likely to damage control reliability.

4. Manufacturing Overheads

Manufacturing overhead includes all indirect production costs. Examples are factory rent, depreciation of production equipment, indirect materials, indirect labor, utilities, repairs, production supervision, quality control, and factory insurance.

Allocation and apportionment

Allocation assigns an entire cost to one cost center when the cost is specifically attributable to it. For example, the salary of a supervisor responsible for one department may be allocated wholly to that department.

Apportionment distributes a common cost among several cost centers using a logical basis. Common bases include:

OverheadPossible basis
Factory rentFloor area
PowerMetered consumption or machine capacity
Canteen costNumber of employees
Personnel departmentNumber of employees
DepreciationAsset value or machine hours
Stores handlingNumber or value of requisitions

The basis should reflect causal consumption, not simply convenience. An arbitrary basis can distort product costs and encourage poor decisions.

Primary and secondary distribution

In the primary distribution stage, overheads are assigned or apportioned to production and service departments. Service-department costs are then reallocated to production departments because production ultimately uses those services.

Methods include:

  1. Direct redistribution: service costs are distributed only to production departments, ignoring services exchanged between service departments.
  2. Step-down method: service departments are ranked; one department’s cost is redistributed before the next, recognizing some but not all reciprocal services.
  3. Reciprocal method: simultaneous equations recognize services exchanged among service departments and are conceptually the most complete of the three.

Illustration of reciprocal allocation. Department X has direct cost of $30,000 and receives 10% of Department Y’s service. Department Y has direct cost of $20,000 and receives 20% of X’s service. Let total costs be X and Y.

X = 30,000 + 0.10Y
Y = 20,000 + 0.20X

Substitution gives X = 32,244.90 approximately and Y = 26,448.98 approximately. Their sum, $58,693.88, exceeds the original $50,000 because each service department’s own cost includes services received from the other. This result is not a mistake: the simultaneous model measures the gross cost of reciprocal services. In practice, the equations and service percentages must be defined carefully to avoid double counting outside the reciprocal model.

Overhead absorption

After production-department overhead has been determined, it is charged to products using an absorption rate. Common rates are:

Overhead rate per labor hour = Budgeted overhead ÷ Budgeted labor hours
Overhead rate per machine hour = Budgeted overhead ÷ Budgeted machine hours
Overhead rate as a percentage of direct labor cost = Budgeted overhead ÷ Budgeted direct labor cost × 100

The numerator and denominator must refer to the same period and cost center. A machine-hour rate is appropriate where machines drive overhead; a labor-hour rate may be appropriate in labor-intensive operations. A single plant-wide rate may be convenient but can distort costs where products consume resources differently. Activity-based costing may use several cost pools and cost drivers, such as setups, inspections, purchase orders, and machine processing.

Worked example. A department budgets overhead of $180,000 and 12,000 machine hours.

Rate = $180,000 ÷ 12,000 = $15 per machine hour

A product using 40 machine hours absorbs $600. This is an applied cost, not necessarily the actual overhead incurred for that product.

Under- and over-absorption

At period end, compare actual overhead with absorbed overhead:

Under/(over)-absorption = Actual overhead − Absorbed overhead

A positive result is under-absorption; a negative result is over-absorption. Under-absorption may result from higher-than-budgeted costs, lower activity, or an inappropriate rate. Over-absorption may result from lower costs, higher activity, or an excessive rate.

Example. Actual overhead is $195,000 and absorbed overhead is $188,000. Under-absorption is $7,000. If the difference is material and relates to the current period, it may be transferred to cost of sales or allocated among work in progress, finished goods, and cost of sales according to the applicable policy. Normal volume-related differences may be treated differently from abnormal inefficiencies. A rate adjustment may be appropriate where the difference indicates a persistent forecasting problem.

5. Integrated Applied Case

Background

The following is an illustrative case. Meridian Components manufactures industrial pumps using a machining department and an assembly department. Steel is purchased from several suppliers. Annual steel demand is 24,000 units. Ordering cost is $50 per order, and annual holding cost is $2 per unit. The machining department budgets $180,000 of overhead and 12,000 machine hours.

Problem

Management wants to reduce stockouts, improve product-cost accuracy, and determine whether the current labor and overhead procedures provide reliable information.

Analysis and solution

EOQ is approximately 1,095 units. Purchasing should not treat this as an automatic order size: supplier minimums, delivery reliability, discounts, and safety stock must be reviewed. If maximum daily usage is 140 units and maximum lead time is 6 days, the traditional reorder level is 840 units.

The machining overhead rate is $15 per machine hour. A pump requiring 40 machine hours absorbs $600 of machining overhead. Direct material and direct labor should be traced using authorized material issues and job time records. Indirect maintenance labor should remain in overhead rather than being incorrectly charged as direct labor.

The company should use FIFO or a consistently applied weighted-average method for inventory valuation, subject to the applicable financial reporting requirements. It should investigate any difference between physical and recorded inventory rather than simply adjusting records without authorization.

Outcome

The integrated system gives purchasing a quantitative starting point, production a visible cost driver, and management a basis for reviewing overhead variances. It also reveals that a single labor-hour rate would be inappropriate for machining because machine usage is the principal driver of that department’s cost.

Learning points

  1. Inventory control and product costing are connected but have different objectives.
  2. EOQ is an economic model, not a substitute for managerial judgment.
  3. Cost-driver selection affects product profitability and pricing decisions.
  4. Reliable data depends on authorization, segregation of duties, and physical verification.

6. Technology, Governance, and Contemporary Practice

Enterprise resource planning systems can connect purchase orders, goods receipts, invoices, inventory records, production orders, payroll, and general-ledger postings. Barcode and radio-frequency identification systems improve transaction speed and traceability. Sensors and manufacturing execution systems can provide machine-hour, downtime, and energy data that improve overhead allocation.

Artificial intelligence can assist demand forecasting, anomaly detection, supplier-risk monitoring, and predictive maintenance. However, automated recommendations require human oversight. Poor master data, biased historical patterns, unexplained model outputs, and cyberattack risks can produce systematically wrong purchasing or costing decisions. Access rights, audit trails, model validation, and exception review are therefore essential.

Contemporary organizations also measure material waste, energy use, carbon emissions, and labor conditions. A narrow cost reduction that increases hazardous work, supplier exploitation, defects, or environmental damage is not sound management. Balanced performance measures should consider cost, quality, delivery, safety, compliance, and sustainability.

7. Limitations and Best Practices

Traditional systems may use volume-based overhead rates even when automation, product variety, and support activities are major cost drivers. Standard labor incentives may encourage quantity at the expense of quality. EOQ may be unreliable when demand is intermittent or supply is disrupted. Inventory valuation methods can affect reported profit during inflation, although they do not change physical quantities.

Best practice includes:

  • classify costs consistently and document policies;
  • use perpetual records for significant or sensitive materials;
  • establish approval limits and segregate purchasing, receiving, custody, and payment;
  • review EOQ and stock levels when demand, prices, or lead times change;
  • reconcile payroll and production records;
  • select overhead drivers based on causation;
  • review absorption rates regularly;
  • investigate material variances and inventory differences;
  • protect employee privacy and comply with labor regulation;
  • combine financial measures with quality, safety, environmental, and delivery measures.

Chapter Summary

Materials, labor, and manufacturing overhead are the central components of manufacturing cost. Materials require coordinated purchasing, receiving, storage, issue, valuation, and physical control. EOQ balances ordering and holding costs under stated assumptions, while reorder and stock-level formulas support replenishment decisions. FIFO, specific identification, and weighted-average methods assign costs to issues and closing inventory subject to applicable reporting rules.

Labor may be paid by time, output, or incentive arrangements. Accurate job costing requires reliable time and output records, while overtime and idle time must be classified according to their causes. Manufacturing overhead is accumulated in cost centers, allocated where directly attributable, apportioned where jointly incurred, redistributed from service departments, and absorbed into products using suitable rates. Under- and over-absorption must be analyzed rather than treated as unexplained residuals.

Effective systems combine quantitative models with professional judgment, internal control, legal compliance, ethical treatment of employees, technology governance, and attention to quality and sustainability.

Key Terms

Materials management: Planning, purchasing, receiving, storing, issuing, and controlling materials.

Direct material: Material economically traceable to a specific product or job.

Direct labor: Labor directly engaged in producing a product or service.

Manufacturing overhead: Indirect production cost.

Cost object: Product, service, contract, or other item for which cost is measured.

Cost center: Department or location where costs are accumulated.

Economic order quantity: Order size minimizing relevant ordering and holding costs under specified assumptions.

Reorder level: Stock quantity at which replenishment is initiated.

Safety stock: Inventory held against uncertainty.

Perpetual inventory: System updating stock records after each transaction.

FIFO: Inventory-costing method assuming earliest costs are issued first.

Weighted-average cost: Average cost calculated from total cost divided by total units.

Time-rate system: Wage system based on hours worked.

Piece-rate system: Wage system based on acceptable output.

Allocation: Assignment of an entire cost to one cost center or object.

Apportionment: Distribution of a common cost among cost centers.

Overhead absorption: Charging overhead to products using a predetermined rate.

Under-absorption: Actual overhead exceeds absorbed overhead.

Over-absorption: Absorbed overhead exceeds actual overhead.

Activity-based costing: Costing approach using multiple activity pools and cost drivers.

Review Questions

Short Answer Questions

  1. Distinguish direct material from indirect material.
  2. What is the purpose of a reorder level?
  3. State two assumptions of the EOQ model.
  4. Explain the difference between allocation and apportionment.
  5. What is under-absorption of overhead?

Long Answer Questions

  1. Explain the materials procurement and inventory-control cycle, including the role of segregation of duties.
  2. Compare time-rate, piece-rate, and incentive labor remuneration systems.
  3. Describe primary and secondary distribution of manufacturing overhead.
  4. Explain inventory valuation using FIFO and weighted-average cost, including their potential effects during rising prices.
  5. Discuss the causes and accounting treatment of under- and over-absorption of overhead.

Analytical / Application Questions

  1. Annual demand is 36,000 units, ordering cost is $40 per order, and annual holding cost is $2.50 per unit. Calculate EOQ and explain two reasons why the practical order quantity may differ.
  2. A department budgets overhead of $240,000 and 16,000 machine hours. A job uses 75 machine hours. Calculate the absorption rate and overhead absorbed by the job. Explain whether this is the actual overhead caused by the job.
  3. A company experiences frequent stockouts despite using EOQ. Analyze at least four possible causes and recommend an improved inventory-control approach.

Multiple Choice Questions with Answers

Question 1

Which cost is normally classified as direct material?

A. Factory rent

B. Steel identifiable with a specific machine

C. Maintenance supervisor salary

D. Factory security cost

Correct Answer: B. Steel identifiable with a specific machine

Question 2

Using EOQ = √((2DS) ÷ H), what happens to EOQ if annual demand doubles while other variables remain constant?

A. It doubles

B. It is halved

C. It increases by a factor of √2

D. It remains unchanged

Correct Answer: C. It increases by a factor of √2

Question 3

Annual demand is 10,000 units, ordering cost is $20, and holding cost is $2 per unit per year. What is EOQ approximately?

A. 200 units

B. 447 units

C. 1,000 units

D. 2,000 units

Correct Answer: B. 447 units

Question 4

If maximum usage is 120 units per day and maximum lead time is 5 days, the traditional reorder level is:

A. 24 units

B. 125 units

C. 600 units

D. 1,200 units

Correct Answer: C. 600 units

Question 5

Which method assumes that the earliest inventory costs are issued first?

A. FIFO

B. Specific identification

C. Moving average

D. Replacement-cost method

Correct Answer: A. FIFO

Question 6

Under a time-rate system, an employee works 35 hours at $16 per hour. Gross earnings are:

A. $560

B. $551

C. $576

D. $600

Correct Answer: A. $560

Question 7

Which is an example of overhead apportionment?

A. Charging one department’s supervisor salary wholly to that department

B. Assigning a common factory rent cost using floor area

C. Recording direct steel issued to a job

D. Paying an employee’s wages

Correct Answer: B. Assigning a common factory rent cost using floor area

Question 8

Budgeted overhead is $90,000 and budgeted machine hours are 6,000. The machine-hour rate is:

A. $6

B. $15

C. $84

D. $540,000

Correct Answer: B. $15

Question 9

Actual overhead is $75,000 and absorbed overhead is $70,000. The result is:

A. $5,000 over-absorption

B. $5,000 under-absorption

C. $145,000 under-absorption

D. No variance

Correct Answer: B. $5,000 under-absorption

Question 10

Which overhead allocation method recognizes reciprocal services between service departments?

A. Direct method

B. Step-down method only

C. Reciprocal method

D. Single-rate method

Correct Answer: C. Reciprocal method

Cost & Management Accounting
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