11 -1 CHAPTER Quality Costs and Productivity: Measurement, Reporting, and Control 11 -2 Objectives 1. Identify and describe the four types of quality After studying this costs. chapter, should 2. Prepare a quality costyou report and explain the be able to: 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. 11 -3 Quality Defined A quality product or service is one that meets or exceeds customer expectations... 11 -4 Quality Defined … on the following eight dimensions: Performance Durability Aesthetics Quality of conformance Serviceability Features Reliability Fitness for use 11 -5 Quality Defined … on the following eight dimensions: Performance Aesthetics Serviceability Features Reliability How consistently Durability and well a product The appearance functions of tangible products Quality of Measures the ease of (style, beauty) conformance maintaining and/or Characteristics of a repairing the use product Fitness product that for differentiate The probability that the functionally similar product or service will products perform its intended function for a specified length of time 11 -6 Quality Defined … on the following eight dimensions: The length of time Performance aAproduct measurefunctions of how a product meets its Aesthetics specifications The suitability of the Serviceability product for carrying out its advertised Features functions Reliability Durability Quality of conformance Fitness for use 11 -7 Quality Defined A defective product is one that does not conform to specifications. 11 -8 Quality Defined Zero defects means that all products conform to specifications. 11 -9 Quality Defined The definition of quality-related activities imply Incurred to four categories of quality costs: prevent Incurredpoor to 1) Preventive costs quality or determine services being Incurred when whether products 2) Appraisal costs Incurred produced productswhen and and services 3) Internal failure costs products services not conform to doand services failtoto conform requirements 4) External failure costs conform to specifications requirements after being delivered Examples of Quality Costs Prevention costs Quality engineering Quality training programs Quality planning Quality reporting Supplier evaluation and selection Quality audits Quality circles Field trials Design reviews 11 -10 Examples of Quality Costs Appraisal Costs Inspection of raw materials Testing of raw materials Packaging inspection Supervising appraisal Product acceptance Process acceptance Inspection of equipment Testing equipment Outside endorsements 11 -11 Examples of Quality Costs Internal failure costs Scrap Rework Downtime (defect related) Reinspection Retesting Design changes 11 -12 Examples of Quality Costs External failure costs Cost of recalls Lost sales Returns/allowances Warranties Repairs Product liability Customer dissatisfaction Lost market share Complaint adjustment 11 -13 11 -14 Measuring Quality Costs Hidden Quality Costs are opportunity costs resulting from poor quality. The Multiplier Method The Market Research Method Taguchi Quality Loss Function 11 -15 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. 11 -16 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 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. 11 -17 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. The Taguchi Quality Loss Function $ Cost Lower Specification Limit Target Value Upper Specification Limit 11 -18 The Taguchi Quality Loss Function L(y) = k(y – T)² k = 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 11 -19 11 -20 Quality Cost Report Unit Actual Diameter (y) y-T (y –T)² k(y-T)² 1 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 Image Products Quality Cost Report For the Year Ended March 31, 2004 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 11 -21 11-22 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 $25,000 25,000 15,000 65,000 $333,000 2.32 11.90% 11 -22 Relative Distribution of Quality Costs External Failure (19.5%) Internal Failure (25.6%) Prevention (34.5%) Appraisal (20.4%) 11 -23 Quality Cost Graph Total Quality Costs Cost Failure Costs Control Costs 0 AOL Percent Defects 100% 11 -24 Contemporary Quality Cost Graph Cost Total Quality Costs Failure Costs Control Costs 100 % 0 Percent Defects Trend Analysis 11 -25 Assume the following data: 2000 2001 2002 2003 2004 Quality Costs $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 11 -26 Multiple-Trend Analysis for Individual Quality Costs Assume the following quality cost data: 2000 2001 2002 2003 2004 1Expressed Prevention Appraisal Internal Failure 2.0%1 3.0 3.0 4.0 4.1 2.0% 2.4 3.0 3.0 2.4 6.0% 4.0 3.0 2,5 2.0 as a % of sales External Failure 10.0 % 8.6 6.0 4.5 1.5 11 -27 Multiple-Period Trend Graphic: Individual Quality Cost Categories 11 -28 Percentage 10 of Sales 9 8 7 6 5 4 3 2 1 0 Prevention Appraisal Internal failure External failure 0 1 2 3 4 Year 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. 11 -29 Productivity: Measurement and Control Total productive efficiency is the point at which two conditions are satisfied: 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. 11 -30 11 -31 Technical Efficiency Technical 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 productivity Inputs: Labor Capital 4 Outputs: 6 11 -32 Technical Efficiency Same Output, Fewer Inputs Inputs: Outputs: Labor 3 6 Capital More Output, Same Inputs Inputs: Outputs: Labor Capital 4 8 11 -33 Technical Efficiency More Output, Fewer Inputs Inputs: Outputs: Labor 3 8 Capital Technically Efficient Combination I: Inputs: Outputs: Labor 3 Capital $20,000,000 8 11 -34 Technical Efficiency Technically Efficient Combination II: Inputs: Outputs: Labor 2 Capital $25,000,000 8 Of the two combinations that produce the same output, the least costly combination would be chosen. 11 -35 Partial Productivity Measurement 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. 11 -36 Profile measurement provides a series or a vector of separate and distinct partial operational measures. 11 -37 Profile Productivity Measures Example 1: The productivity of both labor labor and materials moves in the same direction: Number of motors produced Labor hours used Materials used (lbs.) Labor productivity ratio Material productivity ratio 2003 120,000 40,000 1,200,000 2004 150,000 37,500 1,428,571 150,000/37,500 Partial Productivity Ratios 150,000/1,428,571 2003 Profile 2004 Profile 3.000 0.100 4.000 0.105 11 -38 Profile Productivity Measures Example 2: Assume the same data as Example 1 except the material used is 1,700,000 pounds. Number of motors produced Labor hours used Materials used (lbs.) Labor productivity ratio Material productivity ratio 2003 120,000 40,000 1,200,000 2004 150,000 37,500 1,700,000 150,000/37,500 Partial Productivity Ratios 150,000/1,700,000 2003 Profile 2004 Profile 3.000 0.100 4.000 0.088 11 -39 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 11 -40 Profit-Linked Productivity Measurement Example: Kunkul provided the following data: 2003 Number of motors produced 120,000 Labor hours used 40,000 Materials used (lbs.) 1,200,000 Unit selling price (motors) $50 Wages per labor hour $11 Cost per pound of material $2 2004 150,000 37,500 1,700,000 $48 $12 $3 11 -41 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) Cost of materials: (1,500,000 x $3) Total PQ cost $ 600,000 4,500,000 $5,100,000 The actual cost of inputs: Cost of labor: (37,500 x $12) Cost of materials: (1,700,000 x $3) Total current cost $ 450,000 5,100,000 $5,550,000 11 -42 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. Price-Recovery Component 11 -43 The difference between the total profit change and the profit-linked productivity change is called the pricerecovery component. 2004 Revenues Cost of inputs Profit $7,200,000 5,550,000 $1,650,000 2003 Difference $6,000,000 $ 1,200,000 2,840,000 2,710,000 $3,160,000 $-1,510,000 Price recovery = Profit change – Profit-linked productivity change = $1,510,000 – $450,000 = $1,060,000 11 -44 Chapter Eleven The End 11 -45