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Quality Costs and Productivity:
Measurement, Reporting, and
Control
Kristel Pamela P. Caluya
Eight Dimensions of Quality
•
•
•
•

•
•
•
•

Performance
Aesthetics
Serviceability
Features (quality of design)
Reliability
Durability
Quality of Conformance
Fitness of Use
Quality Defined
• Features (Quality of Design) refer to characteristics

of a product that differentiate functionally similar
products.
–

Example: Compare first class air travel with economy travel. First
Class typically offers more leg room, better meals and more
luxurious seats.

• Quality of Conformance is a measure of how well

the product meets its requirements or specifications.
–

Example: If a Honda Civic does what it is designed to do and does it
well, quality exists. For example, if economy cars are designed to
provide reliable, low-cost, low-maintenance transportation, the
desired
quality exists.
Measuring Quality Costs
•

Prevention costs

•

Appraisal costs

•

Internal failure costs

•

External failure costs
Examples of Quality Costs
Prevention costs

Appraisal Costs

Quality engineering
Quality training programs
Quality planning
Quality reporting
Supplier evaluation and selection
Quality audits
Quality circles
Field trials

Inspection of raw materials
Testing of raw materials
Packaging inspection
Supervising appraisal activities
Product acceptance
Process acceptance
Inspection of equipment
Test equipment

Design reviews

Outside endorsements
Examples of Quality Costs
Internal failure costs
Scrap
Rework
Downtime (defect related)
Reinspection
Retesting
Design changes

External failure costs
Cost of recalls
Lost sales
Returns/allowances
Warranties
Repairs
Product liability
Customer dissatisfaction
Lost market share
Complaint adjustment
Estimating Hidden Quality Costs
Hidden Quality Costs are opportunity costs
resulting from poor quality.

•

The Multiplier Method

•

The Market Research Method

•

Taguchi Quality Loss Function
The Multiplier Method
The 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.
The Market Research Method
The 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 insights into the
magnitude of a company’s hidden costs.
– Market research results can be used to project future profit

losses attributable to poor quality
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.
 L(y)= k(y-T) 2

 Where

k= a proportionality constant dependent upon the
organization’s external failure cost structure
y= Actual value of quality characteristics
T= Target value of quality characteristic
L= Quality loss
y-T

(y-T) 2

k(y-T) 2

1

Actual
Diameter
(y)
9.9

-0.10

0.010

4.00

2

10.1

0.10

0.010

4.00

3

10.2

0.20

0.040

16.00

4

9.8

-0.20

0.040

16.00

Total

0.100

40.00

Average

0.025

10.00

Unit
 Total units produced are 2,000
 Total expected hidden quality costs

10(0.025*$400)=$20,000
Total expected loss for the 2000 units
Reporting Quality Costs
Quality Costs
Prevention costs:
Quality training
Reliability engineering
Appraisal costs:
Materials inspection
Product acceptance
Process acceptance
Internal failure costs:
Scrap
Rework
External failure costs:
Customer complaints
Warranty
Repair
Total quality costs

% of Sales

$35,000
80,000

$115,000

4.11%

$20,000
10,000
38,000

68,000

2.43%

$50,000
35,000

85,000

3.04 %

65,000
$333,000
=======

2.32%
11.90%
=====

$25,000
25,000
15,000
Reporting Quality Costs
(continued)

Prevention costs
Internal failure costs

Appraisal costs
External failure costs

19.5%

25.5%
34.5%
20.5%
AQL Quality Cost Graph
Cost of Failures

Cost

Cost of Control

0

100%

Optional (AQL)
Percent Defects
Zero-Defect Graph
Total
Quality
Cost

Cost

0

Percent Defects

100%
Multiple-Period Quality Costs
Assume the following data:
Quality Costs
2002
2003
2004
2005
2006

$440,000
423,000
412,500
392,000
280,000

Actual Sales
$2,200,000
2,350,000
2,750,000
2,800,000
2,800,000

% of Sales
20.0
18.0
15.0
14.0
10.0
Multiple-Period Trend Graph:
Total Quality Costs
% of
Sales

20

15
10

5

0

1

2

3
Year

4

5
Multiple-Trend Analysis for Individual
Quality Costs
Assume the following quality cost data:

Prevention
2002
2003
2004
2005
2006
1Expressed

Appraisal

6.0%1
6.0
5.4
5.6
4.4

as a % of sales

4.5%
4.0
3.6
3.2
2.4

Internal
Failure
4.5%
3.5
3.0
3.1
3.0

External
Failure
6.0%
4.5
3.0
2.6
2.3
Productive Efficiency
 Productivity
 concerned with producing output efficiently
 specifically addresses the relationship of output and
the inputs used to produce the outputs
 Total productive efficiency is the point at which

two conditions are satisfied
 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.
 Given the mixes that satisfy the first condition, the
least costly mix is chosen

23
Productive Efficiency
Technical Efficiency

the condition where no more of any one input is
used than necessary to produce a given output.
Technical efficiency improvement occurs when less
inputs are used to produce the same output or more
output are produced using the same input.

24
Productive Efficiency

25
Productive Efficiency

26
Productive Efficiency

27
Productive Efficiency

28
Productive Efficiency

Of the two combinations that produce the same output,
the least costly combination would be chosen.
29
Partial Productivity Measurement
Partial Productivity Measure
 Measuring productivity for one input at a time.

Productivity ratio = 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.

30
Total Productivity Measurement
2009
2010
Number of frames produced
Labor hours used
Materials used (lbs.)

240,000

60,000

250,000
240,000

240,000 250,000
60,000
50,000
1,200,000 1,150,000

50,000

1,200,000
250,000

1,150,000
31
Total 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
 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

32
Total Productivity Measurement
PQ = the inputs that would have been used

Current-period output
PQ =
Base-period productivity ratio

33
Total Productivity Measurement
2009
Number of frames produced
Labor hours used
Materials used (lbs.)
Unit selling price (frames)
Wages per labor hour
Cost per pound of material

240,000
60,000
1,200,000
$30
$15
$3

2010
250,000
50,000
1,300,000
$30
$15
$3.50

34
Total Productivity Measurement
PQ (labor) =
PQ (materials) =

250,000 4 =
250,000 ÷ 0.200 =

Cost of labor: (62,500 $15)
Cost of materials: (1,250,000
Total PQ cost
The actual cost of inputs:
Cost of labor: (50,000 $15)
Cost of materials: (1,300,000
Total current cost

62,500 hrs.
1,250,000 lbs.

$3.50)

$ 937,500
4,375,000
$5,312,500

$3.50)

$ 750,000
4,550,000
$5,300,000
35
Quality costs and productivity

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Quality costs and productivity

  • 1. Quality Costs and Productivity: Measurement, Reporting, and Control Kristel Pamela P. Caluya
  • 2. Eight Dimensions of Quality • • • • • • • • Performance Aesthetics Serviceability Features (quality of design) Reliability Durability Quality of Conformance Fitness of Use
  • 3. Quality Defined • Features (Quality of Design) refer to characteristics of a product that differentiate functionally similar products. – Example: Compare first class air travel with economy travel. First Class typically offers more leg room, better meals and more luxurious seats. • Quality of Conformance is a measure of how well the product meets its requirements or specifications. – Example: If a Honda Civic does what it is designed to do and does it well, quality exists. For example, if economy cars are designed to provide reliable, low-cost, low-maintenance transportation, the desired quality exists.
  • 4. Measuring Quality Costs • Prevention costs • Appraisal costs • Internal failure costs • External failure costs
  • 5. Examples of Quality Costs Prevention costs Appraisal Costs Quality engineering Quality training programs Quality planning Quality reporting Supplier evaluation and selection Quality audits Quality circles Field trials Inspection of raw materials Testing of raw materials Packaging inspection Supervising appraisal activities Product acceptance Process acceptance Inspection of equipment Test equipment Design reviews Outside endorsements
  • 6. Examples of Quality Costs Internal failure costs Scrap Rework Downtime (defect related) Reinspection Retesting Design changes External failure costs Cost of recalls Lost sales Returns/allowances Warranties Repairs Product liability Customer dissatisfaction Lost market share Complaint adjustment
  • 7.
  • 8. Estimating Hidden Quality Costs Hidden Quality Costs are opportunity costs resulting from poor quality. • The Multiplier Method • The Market Research Method • Taguchi Quality Loss Function
  • 9. The Multiplier Method The 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.
  • 10. The Market Research Method The 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 insights into the magnitude of a company’s hidden costs. – Market research results can be used to project future profit losses attributable to poor quality
  • 11. 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.
  • 12.  L(y)= k(y-T) 2  Where k= a proportionality constant dependent upon the organization’s external failure cost structure y= Actual value of quality characteristics T= Target value of quality characteristic L= Quality loss y-T (y-T) 2 k(y-T) 2 1 Actual Diameter (y) 9.9 -0.10 0.010 4.00 2 10.1 0.10 0.010 4.00 3 10.2 0.20 0.040 16.00 4 9.8 -0.20 0.040 16.00 Total 0.100 40.00 Average 0.025 10.00 Unit
  • 13.  Total units produced are 2,000  Total expected hidden quality costs 10(0.025*$400)=$20,000 Total expected loss for the 2000 units
  • 14. Reporting Quality Costs Quality Costs Prevention costs: Quality training Reliability engineering Appraisal costs: Materials inspection Product acceptance Process acceptance Internal failure costs: Scrap Rework External failure costs: Customer complaints Warranty Repair Total quality costs % of Sales $35,000 80,000 $115,000 4.11% $20,000 10,000 38,000 68,000 2.43% $50,000 35,000 85,000 3.04 % 65,000 $333,000 ======= 2.32% 11.90% ===== $25,000 25,000 15,000
  • 15. Reporting Quality Costs (continued) Prevention costs Internal failure costs Appraisal costs External failure costs 19.5% 25.5% 34.5% 20.5%
  • 16. AQL Quality Cost Graph Cost of Failures Cost Cost of Control 0 100% Optional (AQL) Percent Defects
  • 18. Multiple-Period Quality Costs Assume the following data: Quality Costs 2002 2003 2004 2005 2006 $440,000 423,000 412,500 392,000 280,000 Actual Sales $2,200,000 2,350,000 2,750,000 2,800,000 2,800,000 % of Sales 20.0 18.0 15.0 14.0 10.0
  • 19. Multiple-Period Trend Graph: Total Quality Costs % of Sales 20 15 10 5 0 1 2 3 Year 4 5
  • 20. Multiple-Trend Analysis for Individual Quality Costs Assume the following quality cost data: Prevention 2002 2003 2004 2005 2006 1Expressed Appraisal 6.0%1 6.0 5.4 5.6 4.4 as a % of sales 4.5% 4.0 3.6 3.2 2.4 Internal Failure 4.5% 3.5 3.0 3.1 3.0 External Failure 6.0% 4.5 3.0 2.6 2.3
  • 21. Productive Efficiency  Productivity  concerned with producing output efficiently  specifically addresses the relationship of output and the inputs used to produce the outputs  Total productive efficiency is the point at which two conditions are satisfied  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.  Given the mixes that satisfy the first condition, the least costly mix is chosen 23
  • 22. Productive Efficiency Technical Efficiency the condition where no more of any one input is used than necessary to produce a given output. Technical efficiency improvement occurs when less inputs are used to produce the same output or more output are produced using the same input. 24
  • 27. Productive Efficiency Of the two combinations that produce the same output, the least costly combination would be chosen. 29
  • 28. Partial Productivity Measurement Partial Productivity Measure  Measuring productivity for one input at a time. Productivity ratio = 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. 30
  • 29. Total Productivity Measurement 2009 2010 Number of frames produced Labor hours used Materials used (lbs.) 240,000 60,000 250,000 240,000 240,000 250,000 60,000 50,000 1,200,000 1,150,000 50,000 1,200,000 250,000 1,150,000 31
  • 30. Total 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  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 32
  • 31. Total Productivity Measurement PQ = the inputs that would have been used Current-period output PQ = Base-period productivity ratio 33
  • 32. Total Productivity Measurement 2009 Number of frames produced Labor hours used Materials used (lbs.) Unit selling price (frames) Wages per labor hour Cost per pound of material 240,000 60,000 1,200,000 $30 $15 $3 2010 250,000 50,000 1,300,000 $30 $15 $3.50 34
  • 33. Total Productivity Measurement PQ (labor) = PQ (materials) = 250,000 4 = 250,000 ÷ 0.200 = Cost of labor: (62,500 $15) Cost of materials: (1,250,000 Total PQ cost The actual cost of inputs: Cost of labor: (50,000 $15) Cost of materials: (1,300,000 Total current cost 62,500 hrs. 1,250,000 lbs. $3.50) $ 937,500 4,375,000 $5,312,500 $3.50) $ 750,000 4,550,000 $5,300,000 35

Editor's Notes

  1. Page 451