Quality cost & Productivity

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11 -1

Quality Costs and Quality Costs and Productivity: Productivity: Measurement, Measurement, Reporting, and Reporting, and

ControlControl

CHAPTERCHAPTER

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1. Identify and describe the four types of quality costs.2. Prepare a quality cost report and explain the

difference between the conventional view of acceptable quality level and the view espoused by total quality control.

3. Tell why quality cost information is needed and how it is used.

4. Explain what productivity is, and calculate the impact of productive changes on profits.

ObjectivesObjectives

After studying this After studying this chapter, you should chapter, you should

be able to:be able to:

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Quality Defined

A quality product or service is one

that meets or exceeds customer

expectations...

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Quality Defined… on the following eight dimensions:

Performance

Aesthetics

Serviceability

Features

Reliability

Durability

Quality of conformance

Fitness for use

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Quality Defined… on the following eight dimensions:

Performance

Aesthetics

Serviceability

Features

Reliability

Durability

Quality of conformance

Fitness for use

How consistently How consistently and well a product and well a product

functionsfunctionsThe appearance of The appearance of tangible products tangible products

(style, beauty)(style, beauty)Measures the ease of Measures the ease of maintaining and/or maintaining and/or

repairing the productrepairing the productCharacteristics of a Characteristics of a

product that differentiate product that differentiate functionally similar functionally similar

productsproducts

The probability that the The probability that the product or service will product or service will perform its intended perform its intended

function for a specified function for a specified length of timelength of time

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Quality Defined… on the following eight dimensions:

Performance

Aesthetics

Serviceability

Features

Reliability

Durability

Quality of conformance

Fitness for use

The length of time The length of time a product functionsa product functionsA measure of how A measure of how a product meets its a product meets its

specificationsspecificationsThe suitability of the The suitability of the product for carrying product for carrying

out its advertised out its advertised functionsfunctions

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Quality Defined

A defective product is one that does not

conform to specifications.

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Quality Defined

Zero defects means that all

products conform to

specifications.

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Quality DefinedThe definition of quality-related activities imply four categories of quality costs:

1) Preventive costs

2) Appraisal costs

3) Internal failure costs

4) External failure costs

Incurred to prevent poor

quality or services being

produced

Incurred to determine

whether products and services conform to

requirements

Incurred when products and

services do not conform to

specifications

Incurred when products and

services fail to conform to

requirements after being delivered

11 -10 Examples of Quality Costs Prevention costsPrevention costs

Quality engineeringQuality training programsQuality planningQuality reportingSupplier evaluation and selectionQuality audits Quality circlesField trialsDesign reviews

11 -11 Examples of Quality CostsAppraisal CostsAppraisal Costs

Inspection of raw materialsTesting of raw materialsPackaging inspectionSupervising appraisalProduct acceptance Process acceptance Inspection of equipment Testing equipmentOutside endorsements

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Internal failure costsInternal failure costsScrap Rework Downtime (defect related) Reinspection Retesting Design changes

Examples of Quality Costs

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Cost of recallsLost salesReturns/allowancesWarrantiesRepairsProduct liabilityCustomer dissatisfactionLost market shareComplaint adjustment

External failure costs

Examples of Quality Costs

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Measuring Quality Costs

The Multiplier Method

The Market Research Method

Taguchi Quality Loss Function

Hidden Quality Costs are opportunity costs resulting from

poor quality.

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The Multiplier MethodThe multiplier method assumes that the total failure cost is simply some multiple of measured failure costs:

Total external failure cost = k(Measured external failure costs)

where k is the multiplier effect

If k = 4, and the measured external failure costs are $2 million, then the actual external failure costs are estimated to be $8 million.

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The Market Research MethodThe market research method uses formal market research methods to assess the effect of poor quality on sales and market share.

Customer surveys and interviews with members of a company’s sales force can provide significant insight into the magnitude of a company’s hidden costs.

Market research results can be used to project future profit losses attributable to poor quality.

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The Taguchi Quality Loss Function

The Taguchi loss function assumes any variation from the target value of a quality characteristic causes hidden quality costs.

Furthermore, the hidden quality costs increase quadratically as the actual value deviates from the target value.

11 -18 The Taguchi Quality Loss Function$ Cost

Lower Specification

Limit

Target Value

Upper Specification

Limit

11 -19 The Taguchi Quality Loss Function

L(y) = k(y – T)²k = A proportionately constant dependent

upon the organization’s external failure cost structure

y = Actual value of quality characteristic

T = Target value of quality characteristic

L = Quality loss

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Quality Cost ReportQuality Cost Report Unit Actual Diameter (Unit Actual Diameter (yy) ) y-T (y –T)y-T (y –T)² k(y-T)²² k(y-T)²

1 9.9 -0.10 0.010$ 4.00

2 10.1 0.10 0.0104.00

3 10.2 0.20 0.04016.00

4 9.8 -0.20 0.040 16.00

Total 0.100$40.00

Average 0.025$10.00

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Quality Costs % of SalesQuality Costs % of Sales

Prevention costs:Quality training $35,000Reliability engineering 80,000 $115,000 4.11%

Appraisal costs: Materials inspection $20,000Product acceptance 10,000Process acceptance 38,000 68,000 2.43

Internal failure costs:Scrap $50,000Rework 35,000 85,000 3.04

External failure costs: Customer complaints $25,000Warranty 25,000Repair 15,000 65,000 2.32

Total quality costs $333,000 11.90%

Image ProductsQuality Cost Report

For the Year Ended March 31, 2004

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Relative Distribution of Quality CostsExternal Failure (19.5%)

Prevention (34.5%)

Internal Failure (25.6%)

Appraisal (20.4%)

11 -23 Quality Cost Graph

Cost

0

Percent Defects

100%

Failure Costs

Control Costs

Total Quality Costs

AOL

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Contemporary Quality Cost Graph

Cost

0Percent Defects

100%

Failure Costs

Control Costs

Total Quality Costs

11 -25 Trend Analysis

Quality Costs Actual Sales % of Sales2000 $440,000 $2,200,000 20.0% 2001 423,000 2,350,000 18.02002 412,500 2,750,000 15.02003 392,000 2,800,000 14.0 2004 280,000 2,800,000 10.0

Assume the following data:

11 -26 Multiple-Period Trend Graph:Total Quality Costs

5

10

15

20

0 1 2 3 4 5

% ofSales

Year

11 -27 Multiple-Trend Analysis for Individual Quality Costs

Internal ExternalPrevention Appraisal Failure Failure

2000 2.0%1 2.0% 6.0% 10.0 %2001 3.0 2.4 4.0 8.62002 3.0 3.0 3.0 6.02003 4.0 3.0 2,5 4.52004 4.1 2.4 2.0 1.5

Assume the following quality cost data:

1Expressed as a % of sales

11 -28 Multiple-Period Trend Graphic: Individual Quality Cost Categories

Percentage of Sales

109876543210

0 1 2 3 4 Year

External failureInternal failure

Prevention

Appraisal

11 -29 Productivity: Measurement and Control

Productivity is concerned with producing output

efficiently, and is it specifically addresses the relationship of output and the inputs used to produce

the outputs.

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1. for any mix of inputs that will produce a given output, no more of any one input is used than necessary to produce the output

2. given the mixes that satisfy the first condition, the least costly mix is chosen.

Productivity: Measurement and Control

Total productive efficiency is the point at which two conditions are satisfied:

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Technical EfficiencyTechnical Efficiency is the condition where no more of any one input is used than necessary to produce a given output.

Technical efficiency improvement is when less inputs are used to produce the same output or more output are produced using the same input.

Current productivityOutputs:

6

Inputs:

Labor

Capital

4

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Technical EfficiencySame Output, Fewer Inputs

More Output, Same Inputs

Outputs:

6

Outputs:

8Inputs:

Labor

Capital

4

Inputs:

Labor

Capital

3

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Technical EfficiencyMore Output, Fewer Inputs

Technically Efficient Combination I:Outputs:

8

Outputs:

8

Inputs:

Labor

Capital

3

Inputs:

Labor

Capital$20,000,000

3

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Technical Efficiency

Technically Efficient Combination II:

Of the two combinations that produce the same output, the least costly combination would be chosen.

Outputs:

8

Inputs:

Labor

Capital$25,000,000

2

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Partial Productivity Measurement: Measuring productivity for one input at a time.

Partial Measure = Output/Input

Operational Productivity Measure: Partial measure where both input and output are expressed in physical terms.

Financial Productivity Measure: Partial measure where both input and output are expressed in dollars.

Partial Productivity MeasurementPartial Productivity Measurement

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Profile measurement provides a series or a vector of separate and

distinct partial operational measures.

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Profile Productivity Measures

Example 1:

The productivity of both labor labor and materials moves in the same direction:

2003 2004Number of motors produced 120,000 150,000Labor hours used 40,000 37,500Materials used (lbs.) 1,200,000 1,428,571

Partial Productivity RatiosPartial Productivity Ratios 2003 Profile 2004 Profile2003 Profile 2004 Profile

Labor productivity ratio 3.000 4.000Material productivity ratio 0.100 0.105

150,000/37,500150,000/1,428,571

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Profile Productivity Measures

Example 2:

Assume the same data as Example 1 except the material used is 1,700,000 pounds.

2003 2004Number of motors produced 120,000 150,000Labor hours used 40,000 37,500Materials used (lbs.) 1,200,000 1,700,000

Partial Productivity Ratios 2003 Profile 2004 Profile

Labor productivity ratio 3.000 4.000Material productivity ratio 0.100 0.088

150,000/37,500150,000/1,700,000

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Profit-Linked Productivity Measurement

Profit-Linkage Rule: For the current period, calculate the cost of the inputs that would have been used in the absence of any productivity change, and compare this

cost with the cost of the inputs actually used. The difference in costs is the amount by which profits

changed because of productivity changes.

To compute the inputs that would have been used (PQ), use the following formula:

PQ = Current Output/Base-Period Productivity Ratio

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Example:Example: Kunkul provided the following data:

20032003 20042004 Number of motors produced 120,000150,000Labor hours used 40,00037,500Materials used (lbs.) 1,200,0001,700,000Unit selling price (motors) $50$48Wages per labor hour $11$12Cost per pound of material $2$3

Profit-Linked Productivity Measurement

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Profit-Linked Productivity Measurement

PQ (labor) = 150,000/3 = 50,000 hrs.PQ (materials) = 150,000/0.100 = 1,500,000 lbs.

Cost of labor: (50,000 x $12) $ 600,000Cost of materials: (1,500,000 x $3) 4,500,000 Total PQ cost $5,100,000

Cost of labor: (37,500 x $12) $ 450,000Cost of materials: (1,700,000 x $3) 5,100,000 Total current cost $5,550,000

The actual cost of inputs:

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Profit-Linked Productivity Measurement

Profit-linked effect = Total PQ cost - Total current cost

= $5,100,000 – $5,550,000

= $450,000 decrease in profits

The net effect of the process change was unfavorable. Profits declined $450,000

because of productivity changes.

11 -43 Price-Recovery ComponentThe difference between the total profit change and the profit-linked productivity change is called the price-recovery component.

2004 2003 Difference

Revenues $7,200,000 $6,000,000 $ 1,200,000Cost of inputs 5,550,000 2,840,000 2,710,000 Profit $1,650,000 $3,160,000 $-1,510,000

Price recovery = Profit change – Profit-linked productivity change= $1,510,000 – $450,000= $1,060,000

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The EndThe End

Chapter ElevenChapter Eleven

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