Applying Overhead to Jobs
Overview
- What you’ll learn: Why manufacturing overhead requires a predetermined rate, how to calculate the predetermined overhead rate, how to select an appropriate allocation base, and how to apply overhead to individual jobs throughout the period.
- Prerequisites: Lesson 1 — Job Costing Systems. Understanding of the three cost categories on a job cost sheet.
- Estimated reading time: 18 minutes
Introduction
The Grand Historian records: Direct materials and direct labor are the loyal soldiers of cost accounting — they march straight to the job that commands them, and their allegiance is never in doubt. But manufacturing overhead is the mercenary army — electricity that lights the entire factory, depreciation on machines used by many jobs, the salary of the supervisor who oversees all production. These costs serve many masters, and assigning them to any single job requires an act of allocation that is part science, part art, and part diplomatic negotiation.
The fundamental problem is this: manufacturing overhead costs are indirect. You cannot look at the electricity bill and say, “Exactly $47.23 of this went to Job #407.” You cannot watch the factory roof depreciate and assign a precise fraction to each job sitting on the production floor. Yet these costs are real, they are substantial (often exceeding direct labor in modern manufacturing), and they must be included in the cost of each job if we are to know the true cost of production.
The solution, elegant in its pragmatism, is the predetermined overhead rate — a rate calculated at the beginning of the period that allows overhead to be applied to jobs as work progresses, rather than waiting until year-end when actual overhead is finally known.
Why We Cannot Use Actual Overhead
A reasonable person might ask: Why not simply wait until all overhead costs are known and then divide them among the jobs? The answer reveals three fundamental problems:
The Timeliness Problem
Many overhead costs are not known until month-end or year-end. Property taxes might be billed annually. Utility bills arrive monthly. Insurance is often paid in advance. If we waited for actual overhead, we could not determine job costs until the period was over — far too late for pricing decisions, profitability analysis, or management action.
The Fluctuation Problem
Actual overhead per unit fluctuates wildly from month to month due to seasonal variations. A heating plant consumes enormous energy in winter and almost none in summer. If we used actual overhead, identical jobs completed in January and July would show dramatically different costs — not because the jobs were different, but because the calendar changed. This is misleading and useless for decision-making.
The Volume Problem
Fixed overhead costs (rent, depreciation, salaried supervisors) remain constant regardless of production volume. In a slow month with few jobs, each job would absorb a disproportionately large share of fixed overhead. In a busy month, each job would appear artificially cheap. Again, the variation reflects production volume, not the actual resources consumed by the job.
The Predetermined Overhead Rate
To escape these three traps, we calculate a predetermined overhead rate (POHR) at the beginning of the accounting period using budgeted (estimated) figures:
Predetermined Overhead Rate = Budgeted Manufacturing Overhead Costs
÷ Budgeted Amount of the Allocation Base
A Worked Example
Suppose TopGiga Manufacturing estimates the following for the coming year:
- Budgeted manufacturing overhead: $600,000
- Budgeted direct labor hours: 40,000 hours
POHR = $600,000 ÷ 40,000 DLH = $15 per direct labor hour
This rate is established before the year begins and remains fixed for the entire period. Every job that passes through the factory will be charged $15 of overhead for each direct labor hour consumed. No surprises, no monthly fluctuations, no waiting until December to know costs.
Choosing the Allocation Base
The allocation base is the denominator of the POHR formula — the activity measure used to link overhead costs to individual jobs. The choice of allocation base is one of the most consequential decisions in cost accounting, for it determines how the burden of overhead is distributed among jobs.
Common Allocation Bases
| Allocation Base | When Appropriate | Formula |
|---|---|---|
| Direct labor hours | Labor-intensive operations where overhead correlates with labor time | Overhead ÷ Total DLH |
| Direct labor cost | When wage rates vary significantly and overhead relates to labor cost | Overhead ÷ Total DL$ |
| Machine hours | Capital-intensive, automated production where machines drive overhead | Overhead ÷ Total MH |
| Direct materials cost | When materials handling costs dominate overhead (less common) | Overhead ÷ Total DM$ |
| Units of output | Single-product environments (rare in job costing) | Overhead ÷ Total Units |
The Causality Principle
The ideal allocation base has a causal relationship with overhead costs — the activity that drives overhead should be the base used to allocate it. In a factory dominated by automated equipment, machine hours drive most overhead costs (depreciation, maintenance, power), so machine hours should be the base. In a labor-intensive workshop, direct labor hours are the better choice.
Choosing the wrong allocation base distorts product costs. A labor-intensive job in a machine-dominated factory would be over-costed using machine hours (it uses few machines but occupies many workers), and under-costed using labor hours. This is why modern cost accounting increasingly favors activity-based costing (ABC) — a topic for advanced study — which uses multiple allocation bases tied to specific activities.
Applying Overhead to Jobs
Once the POHR is established, overhead is applied to each job as it progresses through production:
Overhead Applied to a Job = POHR × Actual Amount of the Allocation Base Used by the Job
Example: Applying Overhead to Three Jobs
Using our POHR of $15 per direct labor hour:
| Job | Actual DLH Used | Overhead Applied |
|---|---|---|
| Job #501 | 120 hours | 120 × $15 = $1,800 |
| Job #502 | 200 hours | 200 × $15 = $3,000 |
| Job #503 | 80 hours | 80 × $15 = $1,200 |
| Total | 400 hours | $6,000 |
The journal entry to apply overhead:
Dr. Work-in-Process Inventory 6,000
Cr. Manufacturing Overhead 6,000
Notice that the credit goes to the Manufacturing Overhead account, not to Cash or Accounts Payable. The Manufacturing Overhead account is a temporary clearing account: actual overhead costs are debited to it as they are incurred, and applied overhead is credited to it. The balance remaining at year-end reveals whether we applied too much or too little — a topic for Lesson 3.
The Manufacturing Overhead Account
The Manufacturing Overhead account operates as a bridge between actual costs and applied costs:
| Debit Side (Actual OH Incurred) | Credit Side (OH Applied to Jobs) |
|---|---|
| Indirect materials used | POHR × Actual allocation base for each job |
| Indirect labor | |
| Factory rent | |
| Factory utilities | |
| Factory depreciation | |
| Factory insurance |
Throughout the year, actual overhead is debited as costs are incurred, and applied overhead is credited as jobs consume the allocation base. At year-end, we compare the two sides:
- If debits > credits: overhead is under-applied (we did not apply enough).
- If credits > debits: overhead is over-applied (we applied too much).
Departmental Overhead Rates
Many organizations use departmental overhead rates rather than a single plantwide rate. Each production department calculates its own POHR based on its own budgeted overhead and its own allocation base. This is more accurate because different departments may have very different cost structures:
- Machining Department: Capital-intensive, uses machine hours as the base.
- Assembly Department: Labor-intensive, uses direct labor hours as the base.
- Finishing Department: Materials-intensive, uses direct materials cost as the base.
A job passing through all three departments receives overhead from each at different rates, yielding a more accurate total cost than a single blended rate would provide.
Key Takeaways
- Manufacturing overhead cannot be traced directly to individual jobs — it must be allocated using a predetermined rate.
- Actual overhead cannot be used in real time due to timeliness, fluctuation, and volume problems.
- The predetermined overhead rate (POHR) = Budgeted Overhead ÷ Budgeted Allocation Base, calculated at the start of the period.
- The allocation base should have a causal relationship with overhead costs — common bases include direct labor hours, machine hours, and direct labor cost.
- Overhead is applied to each job using: POHR × Actual allocation base consumed by the job.
- The Manufacturing Overhead account accumulates actual costs (debits) and applied costs (credits); the year-end balance reveals over- or under-application.
- Departmental rates are more accurate than a single plantwide rate when departments have different cost structures.
What’s Next
In Lesson 3, we shall confront the inevitable reckoning: What happens when overhead applied does not equal overhead incurred? You will learn the concepts of over-applied and under-applied overhead, and the methods for disposing of the difference at year-end — proration versus the simpler COGS adjustment.
繁體中文
概述
- 學習目標:為何製造費用需要預定分攤率、如何計算預定製造費用分攤率、如何選擇適當之分攤基礎,以及如何在期間內將製造費用分攤至各批次。
- 先決條件:第 1 課 — 分批成本制。了解分批成本單上之三大成本類別。
- 預計閱讀時間:18 分鐘
簡介
太史公曰:直接材料與直接人工者,成本會計之忠勇之師也——徑赴命令之批次,忠誠無疑。然製造費用者,傭兵之眾也——照亮整座工廠之電力、眾批共用之機器折舊、監督全部生產之主管薪資。此等成本服務於多主,欲將其分配至任一批次,須兼備科學、藝術與外交之能。
根本問題在此:製造費用乃間接成本。無法觀電費帳單而言「恰好 $47.23 歸於第 407 批」。然此等成本真實存在,金額可觀,且須計入各批次成本方知生產之真實成本。
解決之道乃預定製造費用分攤率——於期初計算之費率,使製造費用得以隨工作進展分攤至各批次,毋須等到年底實際費用始知。
為何不能使用實際製造費用
時效性問題
諸多費用至月末或年末方知。若等待實際費用,則無法及時確定批次成本。
波動問題
實際單位費用逐月劇烈波動。冬季暖氣費高昂,夏季幾近於零。相同批次在一月與七月完工,成本截然不同——非批次有異,乃日曆使然。
產量問題
固定費用不隨產量變動。淡季時每批分攤之固定費用不成比例地高;旺季時則顯得過低。
預定製造費用分攤率
預定分攤率 = 預算製造費用 ÷ 預算分攤基礎數量
範例:預算製造費用 $600,000,預算直接人工時數 40,000 小時:
POHR = $600,000 ÷ 40,000 = 每直接人工小時 $15
選擇分攤基礎
| 分攤基礎 | 適用場合 |
|---|---|
| 直接人工小時 | 人力密集型作業 |
| 直接人工成本 | 工資率差異顯著時 |
| 機器小時 | 資本密集型自動化生產 |
| 直接材料成本 | 物料處理成本主導製造費用時 |
理想之分攤基礎與製造費用具因果關係。選錯基礎則扭曲產品成本。
將製造費用分攤至批次
批次分攤之費用 = 預定分攤率 × 該批次實際使用之分攤基礎數量
製造費用帳戶
借方累計實際發生之費用,貸方累計已分攤之費用。年末餘額揭示分攤過多或不足。
部門別分攤率
各生產部門依其預算費用與適當基礎計算各自之分攤率,較全廠單一費率更為精確。
重點摘要
- 製造費用無法直接追溯至個別批次——須以預定分攤率分配。
- 因時效性、波動性與產量問題,不能即時使用實際費用。
- POHR = 預算費用 ÷ 預算分攤基礎,於期初計算。
- 分攤基礎應與費用具因果關係。
- 製造費用帳戶:借方為實際費用,貸方為已分攤費用,年末餘額示過多或不足。
下一步
第 3 課將面對不可避免之清算:已分攤費用與實際費用不等時如何處理。您將學習多分攤與少分攤之概念,以及年末處置方法——比例分攤法與銷貨成本調整法。
日本語
概要
- 学習内容:製造間接費に予定配賦率が必要な理由、予定配賦率の計算方法、適切な配賦基準の選択、期中のジョブへの間接費配賦方法。
- 前提条件:レッスン1 — 個別原価計算制度。原価計算表の三つの原価区分の理解。
- 推定読了時間:18分
はじめに
太史公曰く:直接材料費と直接労務費は原価計算の忠勇なる兵——命じられたジョブへ直行し、その忠誠に疑いなし。しかし製造間接費は傭兵の如し——工場全体を照らす電力、複数ジョブが共用する機械の減価償却、全生産を監督する管理者の給与。これらの原価は多くの主に仕え、特定のジョブへの配賦には科学と技巧と外交を要す。
根本的問題:製造間接費は間接費である。電気料金を見て「正確に$47.23がジョブ#407に帰属する」とは言えない。しかしこれらの原価は実在し、相当額に上り、各ジョブの原価に含めなければ真の製造原価は分からない。
解決策は予定配賦率——期首に計算する率で、年末の実際額を待たず、作業の進行に応じて間接費をジョブに配賦することを可能にする。
実際間接費を使用できない理由
適時性の問題
多くの間接費は月末や年末まで判明しない。実際額を待てば、ジョブ原価の決定が遅れる。
変動の問題
実際単位当たり間接費は季節変動で月ごとに激しく変動する。同一のジョブでも完成月が異なれば原価が大きく異なる——ジョブの違いではなく暦の違いに過ぎない。
操業度の問題
固定間接費は生産量に関わらず一定。閑散月には各ジョブが不釣り合いに大きな固定費を負担し、繁忙月には人為的に低くなる。
予定配賦率
予定配賦率 = 予算製造間接費 ÷ 予算配賦基準量
例:予算製造間接費$600,000、予算直接作業時間40,000時間:
POHR = $600,000 ÷ 40,000 = 直接作業時間あたり$15
配賦基準の選択
| 配賦基準 | 適用場面 |
|---|---|
| 直接作業時間 | 労働集約型の作業 |
| 直接労務費 | 賃率の差異が大きい場合 |
| 機械稼働時間 | 資本集約型の自動化生産 |
| 直接材料費 | 材料取扱コストが間接費の大部分を占める場合 |
理想的な配賦基準は間接費と因果関係を持つ。誤った基準の選択は製品原価を歪める。
ジョブへの間接費配賦
ジョブ配賦額 = 予定配賦率 × そのジョブが実際に使用した配賦基準量
製造間接費勘定
借方に実際発生額、貸方に配賦額を集計。年末残高が過大配賦か過少配賦かを明らかにする。
部門別配賦率
各生産部門がそれぞれの予算間接費と適切な基準で配賦率を計算する。全工場単一率よりも正確。
重要ポイント
- 製造間接費は個別ジョブに直接追跡できず、予定配賦率による配賦が必要。
- 適時性・変動・操業度の問題により、実際間接費のリアルタイム使用は不可能。
- 予定配賦率=予算間接費÷予算配賦基準量、期首に計算。
- 配賦基準は間接費と因果関係を持つべき。
- 製造間接費勘定:借方に実際額、貸方に配賦額、年末残高が過大・過少配賦を示す。
次のステップ
レッスン3では避けられない精算に臨む:配賦額と実際発生額が一致しない場合の処理。過大配賦と過少配賦の概念、年末の処理方法——按分法と売上原価調整法を学ぶ。