IIM Lucknow IPMX Co. 27

MANAC Session 10 — Destin Brass Case Study: Overhead Allocation in Practice


Table of Contents

  1. Executive Overview
  2. Key Learning Objectives
  3. Concept Map / Mental Model
  4. Case Setup & Base Data
  5. Method 1 — Plantwide Rate (DL-Cost Base)
  6. Method 2 — Two-Stage Allocation
  7. Method 3 — Activity-Based Costing (ABC)
  8. Method Comparison Table
  9. Strategic Interpretation
  10. Classic Brass Inc. — ABC Implementation Example
  11. Frameworks & Models
  12. Terminology & Definitions
  13. Critical Insights & Professor Takeaways
  14. Connections
  15. Practical Application
  16. Potential Exam Questions
  17. Revision Sheet
  18. Action Items / Further Reading
  19. Final Summary

1. Executive Overview

This session uses the Destiny Brass Products Company case to show why overhead allocation is a strategic decision, not just an accounting technique.

The core message: when overhead is large and products consume activities very differently, simple costing systems can systematically misprice products, distort profitability, and push managers into the wrong competitive responses — e.g., matching a competitor's price cut without first diagnosing whether your own cost model is wrong.

The Arc of the Session

  1. Reconstruct base data (volumes, labor, machine hours, overhead pool) from the case exhibits.
  2. Compute costs under three approaches:
    • Method 1: Traditional plantwide rate (OH on direct labor cost)
    • Method 2: Two-stage allocation (materials % + machine-hour rate; setup treated separately)
    • Method 3: ABC (multiple drivers — transactions, shipments, engineering %, machine-hour share)
  3. Read the full margin comparison table — the key strategic output.
  4. Interpret: why a competitor can price lower; why "35% gross margin for every product" is a dangerous target; and why ABC is "harder to object to."

Big-Picture Takeaway

If you don't understand the drivers of overhead, your profit numbers become "storytelling numbers." Good managers treat costing as a diagnostic tool to uncover complexity, redesign processes, and make smarter pricing and product decisions — not as a mechanical compliance exercise.

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2. Key Learning Objectives

By the end of this session, you should be able to:

  1. Reconstruct product costs under three different overhead allocation systems.
  2. Explain why overhead allocation affects strategy, not just accounting statements.
  3. Diagnose when a competitor's lower price could come from lower prime costs, different product mix, or simply better overhead logic (less cross-subsidy).
  4. Identify complexity signals — runs, shipments, transactions, engineering effort — and link them to overhead causality.
  5. Read and interpret a full margin comparison table across methods.
  6. Evaluate the trade-off: improved accuracy of ABC vs its implementation and maintenance cost.
  7. Describe a 5-step ABC implementation using the Classic Brass example.
  8. Translate costing outputs into managerial decisions: pricing, product continuation, process improvement, incentive design.

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3. Concept Map / Mental Model

Starting point: Competitive pressure (price cut)

Cost structure

Overhead allocation ladder (accuracy vs cost)

Method Accuracy Cost Risk
Plantwide (single driver) Low Low High cross-subsidy in heterogeneous environments
Two-stage (few pools) Medium Medium Still misses transaction/shipment complexity
ABC (many activities + drivers) High High Data and governance burden

Complexity

The key diagnostic output: margin comparison table

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4. Case Setup & Base Data

4.1 The Managerial Question

The case is not about calculating a number for its own sake. The real problem:

4.2 Why "Selling Price" Is Not the Main Lever

Price is external (market, competitor, customer willingness-to-pay). The controllable lever is cost, especially overhead when overhead is large. If allocation is sloppy, you punish the wrong product and reward the wrong manager.

4.3 The "35% Gross Margin for Every Product" Target — Why It Can Mislead

A uniform gross margin target feels neat but is strategically wrong if:


4.4 Exhibit Map

Exhibit What It Contains
Exhibit 1 Volumes, runs, shipments, components/transactions (complexity drivers)
Exhibit 2 DM per unit, labor rate, run labor hours/unit, machine-hours/unit
Exhibit 3 Overhead pools (Receiving, Materials handling, Engineering, Packing & shipping, Maintenance, Depreciation)
Exhibit 4 Engineering work-order split (Valves 20%, Pumps 30%, Flow controllers 50%)

4.5 Production Volumes + Complexity Markers (Exhibit 1)

Valves Pumps Flow Controllers
Units/month 7,500 12,500 4,000
Runs 1 5 10
Shipments 1 7 22
Components / Transactions 4 25 100

Key observation: Flow controllers have the lowest volume but the highest complexity across every marker. This is the classic environment where a single plantwide rate will be systematically misleading.


4.6 Direct Materials per Unit (Exhibit 2)

Valves Pumps Flow Controllers
DM/unit $16 $20 $22

Total DM (monthly): $458,000 | Labor rate: $16/hour (including benefits)


4.7 Run Direct Labor Hours & Cost

Valves Pumps Flow Controllers Total
Hours/unit 0.25 0.50 0.40
Total hours 1,875 6,250 1,600 9,725
DL cost $30,000 $100,000 $25,600 $155,600

4.8 Setup Labor Hours & Cost

Setup hours per run: Valves 8 hr, Pumps 8 hr, Flow controllers 12 hr

Valves Pumps Flow Controllers Total
Runs 1 5 10
Setup hours 8 40 120 168
Setup labor cost $128 $640 $1,920 $2,688

Setup is a strong complexity driver. Low-volume/high-variety products consume more setups relative to their unit volume.


4.9 Machine-Hours (Exhibit 2)

Valves Pumps Flow Controllers Total
MH/unit 0.50 0.50 0.20
Total MH 3,750 6,250 800 10,800

4.10 Total Overhead Pool (Exhibit 3)

Pool Monthly Amount
Receiving $20,000
Materials handling $200,000
Engineering $100,000
Packing & shipping $60,000
Maintenance $30,000
Depreciation $270,000
Total OH $680,000
+ Setup labor $2,688
Expanded total (used in Method 1) $682,688

4.11 Selling Prices (Actual)

Valves Pumps Flow Controllers
Selling price $57.26 $81.26 $97.007

⚠️ Note: Some notes show Valves at $57.78 — the professor's class notes show $57.26. Use $57.26.

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5. Method 1 — Plantwide Rate (DL-Cost Base)

5.1 Logic

One plantwide overhead rate applied using run direct labor cost as the single allocation base. Simple; dangerous when overhead is large and products differ in complexity.

5.2 Plantwide Overhead Rate

OH is 4.39× the run DL cost — a strong signal that DL is no longer a good proxy for overhead consumption.

5.3 Unit Costs Under Method 1

Valves Pumps Flow Controllers
DM/unit $16.00 $20.00 $22.00
Run DL/unit $4.00 $8.00 $6.40
OH/unit (DL × 4.39) $17.56 $35.12 $28.10
Standard cost/unit $37.56 $63.12 $56.50

5.4 What Method 1 Hides

Plantwide DL-based allocation assumes products that use more DL cost "cause" more overhead. But complexity does not scale with DL. Flow controllers have low volume but high transactions, shipments, and runs — none of which are captured here.

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6. Method 2 — Two-Stage Allocation

6.1 Why Method 2 Is a Step Up

Instead of a single driver, it uses more causal mapping:

Still not full ABC, but improves realism.

6.2 Overhead Split into Two Pools

Pool 1 — Material-Related OH

Pool Amount
Receiving $20,000
Materials handling $200,000
Total $220,000

Pool 2 — Machine-Hour Related OH

Pool Amount
Depreciation $270,000
Engineering $100,000
Packing & shipping $60,000
Maintenance $30,000
Total $460,000

6.3 Setup as Direct Layer

Valves Pumps Flow Controllers
Setup cost/unit $0.02 $0.05 $0.48

Setup per unit explodes for flow controllers — high setups relative to their volume.

6.4 Unit Costs Under Method 2

Valves Pumps Flow Controllers
DM/unit $16.00 $20.00 $22.00
Material OH/unit (DM × 48%) $7.68 $9.60 $10.56
Setup/unit $0.02 $0.05 $0.48
Run DL/unit $4.00 $8.00 $6.40
Machine OH/unit (MH × $42.59) $21.30 $21.30 $8.52
Standard cost/unit $49.00 $58.95 $47.96

6.5 What Shifts and Why

Flow controllers' cost drops from Method 1 ($56.50 → $47.96) because their machine-hours per unit is low (0.20), so the machine-hour pool charges them less. But the massive transaction and shipping burden is still not captured — setup alone ($0.48) barely reflects the full complexity cost.

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7. Method 3 — Activity-Based Costing (ABC)

7.1 Why ABC Is "Harder to Object To"

ABC maps overhead to activities and allocates based on actual activity consumption. When drivers are credible, the numbers feel fair and defensible:

"If you cause more transactions, shipments, and engineering changes, you should absorb more of those costs."

7.2 Activity Drivers and Pool Rates

1) Receiving + Materials Handling — Driver: Transactions

Valves Pumps Flow Controllers Total
Transactions 4 25 100 129
Valves Pumps Flow Controllers
Per unit $0.91 $3.41 $42.64

Flow controllers consume massive transaction effort per unit — this is the "shock" result.


2) Packing & Shipping — Driver: Shipments

Valves Pumps Flow Controllers Total
Shipments 1 7 22 30
Valves Pumps Flow Controllers
Per unit $0.27 $1.12 $11.00

3) Engineering — Driver: Work-Order Share (Exhibit 4)

Valves Pumps Flow Controllers
Work-order share 20% 30% 50%
Allocated $20,000 $30,000 $50,000
Per unit $2.67 $2.40 $12.50

4) Maintenance — Driver: Machine-Hour Share

Valves Pumps Flow Controllers
MH share 3,750/10,800 6,250/10,800 800/10,800
Per unit $1.39 $1.39 $0.56

5) Depreciation — Driver: Machine-Hours

Valves Pumps Flow Controllers
MH/unit 0.50 0.50 0.20
Per unit $12.50 $12.50 $5.00

6) Setup — Direct Layer

Valves Pumps Flow Controllers
Per unit $0.02 $0.05 $0.48

7.3 ABC Unit Cost Build-Up

Cost Component Valves Pumps Flow Controllers
DM/unit $16.00 $20.00 $22.00
Run DL/unit $4.00 $8.00 $6.40
Setup/unit $0.02 $0.05 $0.48
Receiving + Handling $0.91 $3.41 $42.64
Packing & Shipping $0.27 $1.12 $11.00
Engineering $2.67 $2.40 $12.50
Maintenance $1.39 $1.39 $0.56
Depreciation $12.50 $12.50 $5.00
ABC total cost/unit $37.71 $48.78 $100.76

These figures are from the professor's class handwritten notes (Page-1). They are the authoritative numbers for the Destin Brass case.

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8. Method Comparison Table

8.1 Unit Costs Across All Three Methods

Valves Pumps Flow Controllers
Method 1 — Plantwide DL rate $37.56 $63.12 $56.50
Method 2 — Two-stage $49.00 $58.95 $47.96
Method 3 — ABC $37.71 $48.78 $100.76

8.2 Cost Delta vs Method 1

Valves Pumps Flow Controllers
Method 2 vs Method 1 +$11.44 −$4.17 −$8.54
Method 3 vs Method 1 +$0.15 −$14.34 +$44.26

Flow controllers swing +$44 under ABC vs the plantwide rate. That magnitude is a direct signal of complexity and cross-subsidization.

8.3 Gross Margin at Actual Selling Prices — All Three Methods

This table is the single most important output of the Destin Brass case. Read it carefully.

Method Valves Pumps Flow Controllers
Traditional (DL Cost base) 35% 22% 42%
Two-stage (Material + MH) 15% 27% 51%
ABC 35% 40% −4%

Selling prices used: Valves $57.26, Pumps $81.26, Flow controllers $97.007

8.4 Strategic Reading of the Margin Table

Flow controllers: Appear most profitable under Method 2 (51%) and comfortably profitable under Method 1 (42%) — but are loss-making under ABC (−4%). This is cross-subsidization in its most dangerous form. The more accurately you measure, the worse this product looks.

Pumps: Margin improves from 22% (Method 1) to 40% (ABC). They were being over-allocated overhead they did not cause — penalised by the system for being a high-volume product.

Valves: Stable at ~35% across all methods. Valves is not the source of distortion — it is the "neutral" product in this case.

The competitive implication: A competitor pricing pumps aggressively may not be sacrificing margin — they may simply have a better cost system that correctly tells them pumps carry less overhead burden than the Destiny Brass traditional system claims.

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9. Strategic Interpretation

9.1 What a Large Cost Swing Tells You

If a product's cost changes significantly when you change the allocation method, it is the complexity-heavy product. In this case, flow controllers shift from profitable (traditional) to loss-making (ABC), which means they are consuming:

9.2 How to Respond to a Competitor's Price Cut

The managerial sequence taught in class:

  1. Do not immediately match the price cut.
  2. First ask: Why can they price lower?
    • Are they sacrificing margin?
    • Are their prime costs structurally lower?
    • Is their overhead allocation more accurate — less internal cross-subsidy?
  3. Revisit your costing logic. Identify where you are over/under-costing.
  4. Decide a strategy:
    • Raise price / change terms for complex products (flow controllers)
    • Redesign processes to reduce complexity costs (batch shipments, reduce transactions)
    • Simplify the offering
    • Exit unprofitable segments

9.3 Incentives and Internal Dysfunction

If traditional costing makes flow controllers look profitable at 42% margin:

The professor calls this internal disability — the costing system creates dysfunction from within.

9.4 The Monopoly Implication

If flow controllers are truly costly (high complexity) and the firm has pricing power (monopoly or strong differentiation), the right move might be raising prices, not cutting them. Traditional costing hides that opportunity by making the product look cheap and profitable.

9.5 When ABC Is Worth It vs Not

Use ABC when:

Simplify when:

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10. Classic Brass Inc. — ABC Implementation Example

This example from the professor's slides illustrates the full 5-step ABC implementation, and extends the analysis to customer profitability — something traditional systems never do.

10.1 Context

Classic Brass Inc. makes two product lines for luxury yachts:

The company reported its first-ever loss of $1,250 despite what appeared to be reasonable revenue. Traditional costing (single plantwide rate on machine hours) was hiding the real economics.

10.2 Step 1 — Define Activities, Cost Pools, and Activity Measures

Classic Brass selected five activity cost pools:

Activity Cost Pool Activity Measure Notes
Customer orders Number of customer orders Batch-level activity
Design changes Number of design changes Product-level activity
Order size Machine-hours Unit-level activity
Customer relations Number of active customers Customer-level activity
Other Not applicable Organisation-sustaining — NOT assigned to products

The "Other" pool captures organisation-sustaining costs (factory security, plant manager's office) and idle capacity costs. These are excluded from product costs in ABC — products are charged only for resources they actually consume.

10.3 Step 2 — Assign Overhead Costs to Activity Cost Pools (First-Stage Allocation)

Overhead costs from the general ledger are distributed to the five activity pools based on interviews with departmental staff — asking what percentage of their time/resources is consumed by each activity.

For example: indirect factory workers allocate 20% of their time to customer orders, 40% to design changes, 20% to order size, 10% to customer relations, and 5% to "other."

10.4 Step 3 — Calculate Activity Rates

Given Classic Brass's expected activity levels:

Activity rate = Total pool cost ÷ Total activity volume

10.5 Step 4 — Assign Overhead to Products

Standard stanchions:

Custom compass housings:

Custom compass housings consume a disproportionate share of customer orders and design changes relative to their unit volume — the same complexity pattern as flow controllers in Destin Brass.

10.6 Step 5 — Prepare Management Reports

ABC produces two types of reports unavailable under traditional systems:

Product profitability: Which products are truly profitable after correctly tracing all activity costs?

Customer profitability: Which customers are profitable? The same customer may order a mix of standard and custom products, may place many small orders (high transaction cost), and may require high levels of relationship management.

Example — Windward Yachts as a customer:

Classic Brass can now compute the full cost of serving Windward Yachts and assess whether the relationship is profitable.

10.7 Key Lesson from Classic Brass

The company was reporting a loss not because revenue was too low but because its costing system was telling it the wrong story. Custom compass housings were consuming far more customer order, design change, and customer relation resources than standard stanchions — but traditional MH-based allocation distributed costs proportionally to machine time, making custom products look cheaper than they were.

The fix: Raise prices on custom products, renegotiate high-maintenance customer relationships, or redesign the custom product process to reduce transaction intensity.

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11. Frameworks & Models

Framework 1: Overhead Allocation Methods Ladder

Plantwide rate → Two-stage pools → ABC

Plantwide Two-Stage ABC
Use when Stable, homogeneous, low overhead Moderate complexity, limited effort High variety, high overhead, decision-critical accuracy
Main limitation Cross-subsidy risk Misses transaction/shipment complexity Data and governance cost
Common mistake Using in high-automation, high-SKU environments Treating outputs as "truth" without validating drivers

Framework 2: Complexity Diagnostic

"If cost changes a lot across methods → the product likely drives complexity."

  1. Compute costs under simple and richer methods.
  2. Compare product-level deltas.
  3. Investigate drivers for the product with the largest swing (setups, shipments, transactions, engineering changes).
  4. That investigation tells you where process improvement and pricing discipline matter most.

Framework 3: Price Cut Response Decision Logic

Observe competitor price cut
        ↓
Diagnose *why* they can do it
(lower prime costs? better costing system? sacrificing margin?)
        ↓
Validate your own cost model
        ↓
Decide: match / hold / redesign / re-segment / exit

Framework 4: ABC 5-Step Implementation

Define activities → Assign costs to pools → Calculate rates → Assign to products → Prepare reports

The "Other" pool (organisation-sustaining + idle capacity) is defined at Step 1 and excluded from product assignment at Step 4.

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12. Terminology & Definitions

Term Definition Why It Matters
Direct Materials (DM) Traceable material cost per unit Often the easiest "true" unit cost component; also used as a driver in some allocations
Direct Labor (DL) Labor directly applied to production (run labor) Traditional systems use DL as overhead base — unreliable in modern high-automation plants
Setup labor Labor/time required to prepare equipment for a run Captures variety/complexity; low-volume products consume more setup per unit
Overhead (OH) Indirect manufacturing costs not directly traceable to products Main source of distortion and strategic mispricing when allocated poorly
Plantwide rate Single overhead rate for the whole plant using one base Simple but causes cross-subsidy when products differ in complexity
Two-stage allocation Few overhead pools allocated with different bases Middle ground — better causality, still simplified
Activity-Based Costing (ABC) Allocates costs by activities and their drivers Best for high variety + high overhead; more defensible but costlier to run
Organisation-sustaining costs Costs incurred regardless of products, customers, or batches Excluded from product costs in ABC
Cross-subsidization One product is undercosted while another is overcosted Leads to wrong pricing, wrong product focus, and wrong incentives
Complexity Operational variety that increases non-linear overhead consumption Explains why low-volume products can be expensive even when DM/DL look normal
Customer profitability Profit generated by serving a specific customer, net of all traceable costs ABC can measure this; traditional systems cannot

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13. Critical Insights & Professor Takeaways

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14. Connections

14.1 Interdisciplinary Connections

Domain Connection
Strategy Cost structure affects competitive positioning; distorted costs create wrong competitive moves
Operations Setups, shipments, and transactions are operational design variables; lean/standardization reduces complexity cost
Marketing Product variety and customization increase complexity — pricing and segmentation must reflect that
Finance Product profitability drives capital allocation; distorted profitability leads to misinvestment
Organizational Behavior Performance evaluation can become unfair when cost allocations misattribute overhead
Consulting / Analytics ABC resembles driver-based modeling; the hard part is choosing drivers and governance, not arithmetic

14.2 Connection to Previous Session

Session 9 Notes — ABC Theory & Foundations

14.3 Bridge to Session 12 — CVP Analysis

Session 12 moves from "what does each product cost?" to "how does cost structure translate into profit at different volumes?" The contribution margin and fixed-cost logic in CVP is the next step after getting product costs right — you can't do meaningful break-even analysis if your product costs are distorted by a bad allocation system.

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15. Practical Application

Manager Perspective

Consultant Perspective

Placement / Interview Relevance

Prompts this session prepares you for:

Common Organizational Mistakes

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16. Potential Exam Questions

A) Conceptual

Q1. Explain why a plantwide overhead rate can distort product costs when overhead is high.
Include: Overhead causality, cross-subsidy, heterogeneity, DL no longer a good proxy.

Q2. Define ABC and explain why it is "harder to object to."
Include: Activities, drivers, cost pools, causality, defensibility.

Q3. What are organisation-sustaining costs? How are they treated in ABC?
Include: Definition, why excluded from products, examples.

B) Application / Numerical

Q4. Given volumes, DL, and total overhead, compute a plantwide OH rate and unit costs under Method 1.
Include: Base selection, OH/unit calculation, total unit cost.

Q5. Split overhead into material-related and machine-related pools and compute costs under Method 2.
Include: Material % rate, machine-hour rate, setup as direct layer.

Q6. Using the Destin Brass data, compute ABC overhead and total cost for one product.
Include: All five pools, activity rates, per-unit computation, ABC total cost.

C) Case-Based / Analysis

Q7. A competitor reduces price for one product line. Outline a managerial response using the logic of this session.
Include: Diagnose why competitor can do it, validate costing, identify complexity drivers, decide match vs redesign vs exit.

Q8. A product's cost jumps dramatically under ABC versus traditional costing. What does that indicate and what actions follow?
Include: Complexity diagnosis, pricing, process redesign, SKU simplification.

Q9. "ABC provides better costs, but may not be worth it." Discuss.
Include: Benefits vs measurement cost, organisational fit, materiality of distortion, decision use-cases.

Common Mistakes to Avoid

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17. Revision Sheet

High-Yield Ideas

Key Numbers (From Class — Authoritative)

Item Value
Run DL cost total $155,600
Machine-hours total 10,800
OH pool total $680,000 (+ $2,688 setup in Method 1)
Valves selling price $57.26
Pumps selling price $81.26
Flow controllers selling price $97.007

Key complexity drivers: Runs/setups · Transactions (components) · Shipments · Engineering work orders · Machine-hours

Method Snapshots

Method Rate Key Feature
Method 1 (DL base) ≈439% of DL cost One driver; simplest; highest cross-subsidy risk
Method 2 — Material pool ≈48% of DM Causal for material-related OH
Method 2 — Machine pool ≈$42.59 per MH Causal for machine-related OH
Method 3 — ABC Multiple rates by activity Reveals flow controllers' true cost via transactions + shipments + engineering

ABC Unit Costs — Authoritative Figures (Professor's Class Notes)

Valves Pumps Flow Controllers
ABC total cost/unit $37.71 $48.78 $100.76

Gross Margin Comparison — Must Memorise

Method Valves Pumps Flow Controllers
Traditional (DL base) 35% 22% 42%
Two-stage 15% 27% 51%
ABC 35% 40% −4%

Memory Triggers

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18. Action Items / Further Reading

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19. Final Summary

In high-overhead, high-variety environments, the costing system can manufacture profitability stories. Flow controllers looked like a 42–51% margin business under traditional methods — they are actually loss-making under ABC.

ABC and activity drivers reveal the real economics: complexity is costly, and strategy should respond to that reality. The margin comparison table is not a number-crunching exercise — it is a diagnostic that tells you which products to price up, which processes to redesign, and which competitors to take seriously.

If you don't understand the drivers of overhead, your profit numbers become "storytelling numbers."

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