Support-Department Cost Allocation

Level: Advanced Module: Activity-Based Costing & Allocation 7 min read Lesson 5 of 67

Overview

  • What you’ll learn: Why support-department costs must be allocated to operating departments, the three major allocation methods (direct, step-down, and reciprocal), how to choose appropriate allocation bases, and practical considerations for implementation.
  • Prerequisites: Lesson 4 — Sales-Variance & Revenue Analysis.
  • Estimated reading time: 18 minutes

Introduction

The Grand Historian records: In every great enterprise there exist two classes of departments — those that face the enemy (operating departments) and those that supply the army (support departments). The operating departments generate revenue: Manufacturing produces goods, Sales closes deals, Services delivers value. The support departments — Human Resources, Information Technology, Maintenance, Accounting itself — generate no revenue directly, yet without them the operating departments would collapse like a fortress without its supply lines.

The question, as old as double-entry bookkeeping, is this: how shall the costs of the support departments be charged to the operating departments they serve? The answer matters enormously, for it affects product costs, departmental budgets, performance evaluations, and pricing decisions. Three methods have been devised, each more theoretically correct than the last, and each more computationally demanding. This lesson chronicles all three, from the simple to the sublime.

Why Allocate Support-Department Costs?

Support departments exist to serve operating departments. Their costs are legitimate costs of production and must ultimately be reflected in product costs for several reasons:

  • Full product costing: GAAP and IFRS require that all manufacturing overhead — including allocated support-department costs — be included in inventory valuation.
  • Pricing decisions: If support costs are excluded from product costs, prices may be set too low to cover the full cost of operation.
  • Performance evaluation: Operating departments that consume more support resources should bear more of the cost, creating incentives for efficient resource use.
  • Cost control: Allocating support costs makes operating managers aware of the resources they consume and motivates them to use support services judiciously.

Setting Up the Problem

Consider Imperial Manufacturing Corp. with two support departments and two operating departments:

Department Type Total Cost
Information Technology (IT) Support $600,000
Human Resources (HR) Support $400,000
Machining Operating $2,000,000
Assembly Operating $1,500,000

Services provided (measured by appropriate allocation bases):

From To IT HR Machining Assembly
IT (by # of devices) 100 (10%) 500 (50%) 400 (40%)
HR (by # of employees) 10 (5%) 114 (57%) 76 (38%)

Notice: IT provides 10% of its services to HR, and HR provides 5% of its services to IT. This mutual service — reciprocal interaction — is the central challenge of support-department cost allocation.

Method 1: The Direct Method

How It Works

The direct method is the simplest: it allocates each support department’s costs only to operating departments, completely ignoring any services provided between support departments. The reciprocal interaction between IT and HR is simply pretended away.

Recomputing Allocation Ratios

Since support-to-support services are ignored, the allocation ratios must be recomputed based only on services to operating departments:

From To Machining To Assembly
IT 500/(500+400) = 55.56% 400/(500+400) = 44.44%
HR 114/(114+76) = 60.00% 76/(114+76) = 40.00%

Allocation

IT HR Machining Assembly
Before allocation $600,000 $400,000 $2,000,000 $1,500,000
Allocate IT ($600,000) +$333,333 +$266,667
Allocate HR ($400,000) +$240,000 +$160,000
After allocation $0 $0 $2,573,333 $1,926,667

Advantages and Disadvantages

  • Advantage: Simple, inexpensive, easy to understand. Requires no special computation.
  • Disadvantage: Ignores reciprocal services entirely. This can produce significant distortions when support departments provide substantial services to each other.

Method 2: The Step-Down (Sequential) Method

How It Works

The step-down method partially recognizes reciprocal services by allocating support departments one at a time in a specified sequence. Once a support department’s costs have been allocated, it receives no further allocations — the process moves in one direction only, like a waterfall.

Choosing the Sequence

The department that provides the most service to other support departments is typically allocated first. Common criteria for ordering:

  • Highest dollar amount of service to other support departments.
  • Highest percentage of service to other support departments.
  • Department whose costs have the largest total dollar amount.

In our example, IT provides 10% of its services to HR ($60,000 worth), while HR provides 5% of its services to IT ($20,000 worth). IT provides more, so IT is allocated first.

Allocation

Step 1: Allocate IT to HR, Machining, and Assembly (using original percentages including HR):

IT HR Machining Assembly
Before allocation $600,000 $400,000 $2,000,000 $1,500,000
Allocate IT (10%/50%/40%) ($600,000) +$60,000 +$300,000 +$240,000
Subtotal $0 $460,000 $2,300,000 $1,740,000

Step 2: Allocate HR to Machining and Assembly only (IT cannot receive — it has already been allocated). Recompute HR ratios excluding IT:

IT HR Machining Assembly
Allocate HR (60%/40%) ($460,000) +$276,000 +$184,000
After allocation $0 $0 $2,576,000 $1,924,000

Advantages and Disadvantages

  • Advantage: Partially recognizes reciprocal services (IT’s service to HR is captured). More accurate than the direct method.
  • Disadvantage: Still ignores one direction of reciprocal service (HR’s service to IT is not captured). The allocation depends on the sequence chosen, which introduces arbitrariness.

Method 3: The Reciprocal Method

How It Works

The reciprocal method fully recognizes all services exchanged between support departments. It uses simultaneous equations to solve for the true total cost of each support department — including the cost of services received from other support departments.

Setting Up the Equations

Let IT* = total cost of IT (including HR services received) and HR* = total cost of HR (including IT services received):

  • IT* = $600,000 + 5% x HR*
  • HR* = $400,000 + 10% x IT*

Solving

Substitute the second equation into the first:

IT* = $600,000 + 0.05 x ($400,000 + 0.10 x IT*)

IT* = $600,000 + $20,000 + 0.005 x IT*

0.995 x IT* = $620,000

IT* = $623,116 (rounded)

HR* = $400,000 + 0.10 x $623,116 = $462,312 (rounded)

Allocation

IT HR Machining Assembly
Before allocation $600,000 $400,000 $2,000,000 $1,500,000
Allocate IT* ($623,116) ($623,116) +$62,312 +$311,558 +$249,246
Allocate HR* ($462,312) +$23,116 ($462,312) +$263,518 +$175,678
After allocation $0 $0 $2,575,076 $1,924,924

Advantages and Disadvantages

  • Advantage: Theoretically correct — fully recognizes all reciprocal services. Produces the most accurate allocation.
  • Disadvantage: Requires solving simultaneous equations (or matrix algebra for many departments). Harder to explain to non-accountants. With n support departments, you need n equations in n unknowns.

Comparing the Three Methods

Method Machining Assembly Accuracy Complexity
Direct $2,573,333 $1,926,667 Lowest Lowest
Step-Down $2,576,000 $1,924,000 Moderate Moderate
Reciprocal $2,575,076 $1,924,924 Highest Highest

In this example the differences are modest because reciprocal services are relatively small (5-10%). When reciprocal services are 20-30% or more, the differences become substantial, and the reciprocal method becomes essential.

Choosing Allocation Bases

The choice of allocation base for each support department should reflect a cause-and-effect relationship:

Support Department Common Allocation Bases
Information Technology Number of devices, IT tickets, data storage used, application licenses
Human Resources Number of employees, headcount, new hires processed
Maintenance Maintenance hours, work orders, machine hours in department
Accounting/Finance Number of transactions processed, journal entries
Facilities/Plant Management Square footage occupied, assessed value of space
Purchasing Number of purchase orders, line items processed
Quality Control Number of inspections, testing hours

Practical Considerations

Single-Rate vs. Dual-Rate Allocation

A single rate combines fixed and variable costs into one allocation rate. A dual-rate system separates them:

  • Fixed costs: Allocated based on budgeted (planned) usage — reflecting the capacity reserved for each operating department.
  • Variable costs: Allocated based on actual usage — reflecting the resources actually consumed.

The dual-rate approach is superior because it prevents operating departments from being penalized when other departments use less than their budgeted capacity (which would increase the fixed-cost allocation to the remaining departments under a single-rate system).

Budgeted vs. Actual Rates

Best practice: use budgeted rates for allocation. Using actual rates transfers the support department’s inefficiencies to operating departments, shielding the support department from accountability for cost overruns.

Key Takeaways

  • Support-department costs must be allocated to operating departments for full product costing, pricing, performance evaluation, and cost control.
  • The direct method ignores reciprocal services — simple but potentially inaccurate.
  • The step-down method partially recognizes reciprocal services, allocating support departments sequentially — more accurate but sequence-dependent.
  • The reciprocal method fully recognizes all reciprocal services using simultaneous equations — theoretically correct but computationally demanding.
  • Choose allocation bases that reflect cause-and-effect relationships, use dual rates to separate fixed and variable costs, and allocate at budgeted rather than actual rates.

What’s Next

In Lesson 6, we examine common cost and revenue allocation — how to divide shared costs among benefiting segments using stand-alone, incremental, and Shapley value methods.

繁體中文

概述

  • 學習目標:為何支援部門成本須分攤至營運部門、三大分攤方法(直接法、階梯法、交互法)、選擇分攤基礎,以及實務考量。
  • 先決條件:第 4 課 — 銷售差異與營收分析。
  • 預計閱讀時間:18 分鐘

簡介

太史公曰:凡大業皆有二類部門——面敵者(營運部門)與供給者(支援部門)。營運部門創造營收,支援部門——人力資源、資訊科技、維修、會計——不直接產生營收,然無之則營運部門必崩。如何將支援部門之成本分攤至其所服務之營運部門?此問題影響產品成本、部門預算、績效評估與定價決策。三法為之,一法更精於一法,一法更繁於一法。

範例設定

帝國製造公司有二支援部門(IT $600,000、HR $400,000)與二營運部門(加工 $2,000,000、組裝 $1,500,000)。IT 提供 10% 服務予 HR,HR 提供 5% 服務予 IT——此即交互服務之核心挑戰。

方法一:直接法

最簡單:各支援部門成本分攤至營運部門,完全忽略支援部門間之服務。重新計算僅含營運部門之分攤比率後直接分攤。

結果:加工 $2,573,333,組裝 $1,926,667。

優點:簡單、廉價。缺點:完全忽略交互服務,差異大時可能嚴重扭曲。

方法二:階梯法(逐步法)

部分認列交互服務:逐一按序分攤支援部門。已分攤之部門不再接收分攤。提供最多服務予其他支援部門者先行分攤。

結果:加工 $2,576,000,組裝 $1,924,000。

優點:較直接法準確。缺點:仍忽略一方向之交互服務,且結果依序列而異。

方法三:交互法

完全認列所有支援部門間之交互服務。以聯立方程式求解各支援部門之真實總成本。

IT* = $600,000 + 5% × HR*;HR* = $400,000 + 10% × IT*。解得 IT* = $623,116,HR* = $462,312。

結果:加工 $2,575,076,組裝 $1,924,924。

優點:理論正確。缺點:需解聯立方程式,較難向非會計人員解釋。

選擇分攤基礎

支援部門 常見分攤基礎
資訊科技 設備數、IT 工單、資料儲存量
人力資源 員工人數、新聘處理數
維修 維修小時、工單數
設施管理 使用面積

實務考量

  • 單一費率 vs. 雙重費率:雙重費率將固定成本(依預算用量分攤)與變動成本(依實際用量分攤)分開,避免某部門少用導致其餘部門多負擔。
  • 預算 vs. 實際費率:宜用預算費率,避免支援部門之低效率轉嫁至營運部門。

重點摘要

  • 支援部門成本須分攤至營運部門,以達完全產品成本、定價、績效評估與成本控制。
  • 直接法忽略交互服務——簡單但可能不準確。
  • 階梯法部分認列交互服務——較準確但依序列而異。
  • 交互法完全認列所有交互服務——理論正確但計算繁複。
  • 選擇反映因果關係之分攤基礎,宜用雙重費率與預算費率。

下一步

第 6 課探討共同成本與營收分攤——如何以獨立法、遞增法與 Shapley 值法將共用成本分配予受益部門。

日本語

概要

  • 学習内容:サポート部門原価を業務部門に配賦する理由、3つの主要配賦方法(直接法、階梯法、相互配賦法)、配賦基準の選択、実務上の考慮事項。
  • 前提条件:レッスン4 — 販売差異と収益分析。
  • 推定読了時間:18分

はじめに

太史公曰く:あらゆる大企業には二種の部門あり——敵に面する者(業務部門)と軍を支える者(サポート部門)。業務部門は収益を生む。サポート部門——人事、IT、保全、経理——は直接の収益を生まざれども、これなくば業務部門は補給線なき砦の如く崩壊す。サポート部門の原価をいかにしてそのサービスを受ける業務部門に課するか。3つの方法が考案され、各々前者より理論的に正確にして、計算上はより困難なり。

問題設定

帝国製造社:サポート部門2つ(IT $600,000、HR $400,000)、業務部門2つ(機械加工 $2,000,000、組立 $1,500,000)。ITはHRに10%のサービスを提供、HRはITに5%のサービスを提供——これが相互サービスの核心的課題。

方法1:直接法

最も単純:各サポート部門の原価を業務部門のみに配賦し、サポート部門間のサービスを完全に無視する。

結果:機械加工 $2,573,333、組立 $1,926,667。

利点:単純で安価。欠点:相互サービスを完全に無視——大きな歪みの可能性。

方法2:階梯法(逐次法)

相互サービスを部分的に認識:サポート部門を指定された順序で一つずつ配賦する。配賦済みの部門は以降の配賦を受けない。他のサポート部門へのサービスが最も大きい部門を最初に配賦する。

結果:機械加工 $2,576,000、組立 $1,924,000。

利点:直接法より正確。欠点:相互サービスの一方向を依然無視、順序に依存。

方法3:相互配賦法

サポート部門間のすべての相互サービスを完全に認識する。連立方程式で各サポート部門の真の総原価を求解する。

IT* = $600,000 + 5% × HR*、HR* = $400,000 + 10% × IT*。解:IT* = $623,116、HR* = $462,312。

結果:機械加工 $2,575,076、組立 $1,924,924。

利点:理論的に正確。欠点:連立方程式の解法を要し、非会計者への説明が困難。

3方法の比較

方法 機械加工 組立 正確性
直接法 $2,573,333 $1,926,667 最低
階梯法 $2,576,000 $1,924,000 中程度
相互配賦法 $2,575,076 $1,924,924 最高

配賦基準の選択

サポート部門 一般的な配賦基準
IT デバイス数、ITチケット、データ使用量
人事 従業員数、新規採用処理数
保全 保全時間、作業指示数
施設管理 使用面積

実務上の考慮事項

  • 単一レート vs. 二重レート:二重レートは固定費(予算使用量で配賦)と変動費(実際使用量で配賦)を分離し、他部門の使用減による負担増を防ぐ。
  • 予算 vs. 実際レート:予算レートを使用するのが最善。実際レートはサポート部門の非効率を業務部門に転嫁する。

重要ポイント

  • サポート部門原価は完全製品原価計算、価格設定、業績評価、原価管理のために業務部門に配賦されねばならない。
  • 直接法は相互サービスを無視——単純だが不正確の可能性。
  • 階梯法は相互サービスを部分的に認識——より正確だが順序に依存。
  • 相互配賦法はすべての相互サービスを完全に認識——理論的に正確だが計算が困難。
  • 因果関係を反映する配賦基準を選択し、二重レートと予算レートを使用する。

次のステップ

レッスン6では、共通原価と収益の配賦を検討する——独立型、増分型、シャプレー値法を用いて共有原価を受益セグメントに分配する方法。

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