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Chapter 4Chapter 4Chapter 4Chapter 4
Product, Process, and Service Product, Process, and Service DesignDesign
Product/Service DesignProduct/Service Design
Product/service design directly affects:Product/service design directly affects:
• Product/service qualityProduct/service quality
• Production/delivery costProduction/delivery cost
• Customer satisfactionCustomer satisfaction
Product/Service Design and Product/Service Design and DevelopmentDevelopment
• Sources of Product InnovationSources of Product Innovation
• Developing New Products/ServicesDeveloping New Products/Services
• Getting Them to Market FasterGetting Them to Market Faster
• Improving Current Products/ServicesImproving Current Products/Services
• Designing for Ease of ProductionDesigning for Ease of Production
• Designing for QualityDesigning for Quality
• Designing and Developing New ServicesDesigning and Developing New Services
Sources of Product/Service Sources of Product/Service InnovationInnovation
• CustomersCustomers
• ManagersManagers
• MarketingMarketing
• OperationsOperations
• EngineeringEngineering
• Research and Development (R&D)Research and Development (R&D)– Basic researchBasic research– Applied researchApplied research
Steps in Developing New Steps in Developing New ProductsProducts
1.1. Technical and economic feasibility studies Technical and economic feasibility studies
2.2. Prototype design Prototype design
3.3. Performance testing of prototype Performance testing of prototype
4.4. Market sensing/evaluation and economic Market sensing/evaluation and economic evaluation evaluation of the prototypeof the prototype
5.5. Design of production model Design of production model
6.6. Market/performance/process testing and Market/performance/process testing and economic economic evaluation of production modelevaluation of production model
7.7. Continuous modification of production model Continuous modification of production model
Steps in Developing New Steps in Developing New ProductsProducts
1.1. Technical and Economic Feasibility Technical and Economic Feasibility StudiesStudies– Determine the advisability of establishing a Determine the advisability of establishing a
project for developing the productproject for developing the product– If initial feasibility studies are favorable, If initial feasibility studies are favorable,
engineers prepare an initial prototype designengineers prepare an initial prototype design
Steps in Developing New Steps in Developing New ProductsProducts
2.2. Prototype Design Prototype Design– This design should exhibit the basic form, fit, This design should exhibit the basic form, fit,
and function of the final productand function of the final product– It will not necessarily be identical to the It will not necessarily be identical to the
production modelproduction model
Steps in Developing New Steps in Developing New ProductsProducts
3.3. Performance Testing of Prototype Performance Testing of Prototype– Performance testing and redesign of the Performance testing and redesign of the
prototype continues until this design-test-prototype continues until this design-test-redesign process produces a satisfactorily redesign process produces a satisfactorily performing prototypeperforming prototype
Steps in Developing New Steps in Developing New ProductsProducts
4.4. Market Sensing/Evaluation and Economic Market Sensing/Evaluation and Economic Evaluation of the PrototypeEvaluation of the Prototype– Accomplished by demonstrations to potential Accomplished by demonstrations to potential
customers, market test, or market surveyscustomers, market test, or market surveys– If the response to the prototype is favorable, If the response to the prototype is favorable,
economic evaluation of the prototype is economic evaluation of the prototype is performed to estimate production volume, performed to estimate production volume, costs, and profitscosts, and profits
– If the economic evaluation is favorable, the If the economic evaluation is favorable, the project enters the production design phase.project enters the production design phase.
Steps in Developing New Steps in Developing New ProductsProducts
5.5. Design of Production Model Design of Production Model– The initial design of the production model will The initial design of the production model will
not be the final design; the model will evolvenot be the final design; the model will evolve
Steps in Developing New Steps in Developing New ProductsProducts
6.6. Market/Performance/Process Testing Market/Performance/Process Testing and Economic Evaluation of Production and Economic Evaluation of Production ModelModel– The production model should exhibit:The production model should exhibit:
• low costlow cost• reliable qualityreliable quality• superior performancesuperior performance• the ability to be produced in the desired quantities the ability to be produced in the desired quantities
on the intended equipmenton the intended equipment
Steps in Developing New Steps in Developing New ProductsProducts
7.7. Continuous Modification of Production Continuous Modification of Production ModelModel– Production designs are continuously modified Production designs are continuously modified
to:to:• Adapt to changing market conditionsAdapt to changing market conditions• Adapt to changing production technologyAdapt to changing production technology• Allow for manufacturing improvementsAllow for manufacturing improvements
Managing Product Development Managing Product Development ProjectsProjects
• About 5% of all new-product ideas survive to About 5% of all new-product ideas survive to production, and only about 10% of these are production, and only about 10% of these are successful.successful.
• It is best to cancel unpromising It is best to cancel unpromising new-product/service development projects early!new-product/service development projects early!
• Employees often become emotionally caught up Employees often become emotionally caught up in these projects and are overly optimisticin these projects and are overly optimistic
• An impartial management review board is An impartial management review board is needed for periodic reviews of the progress of needed for periodic reviews of the progress of these projects.these projects.
Getting New Products to Market Getting New Products to Market FasterFaster
• Speed creates competitive advantagesSpeed creates competitive advantages
• Speed saves moneySpeed saves money
• Tools to improve speed:Tools to improve speed:– Autonomous design and development teamsAutonomous design and development teams– Computer-aided design/computer-aided Computer-aided design/computer-aided
manufacturing (CAD/CAM)manufacturing (CAD/CAM)– Simultaneous (concurrent) engineering Simultaneous (concurrent) engineering
Tools to Improve Speed to Tools to Improve Speed to MarketMarket
• Autonomous Design and Development Autonomous Design and Development TeamsTeams– Teams are given decision-making responsibility Teams are given decision-making responsibility
and more freedom to design and introduce new and more freedom to design and introduce new products/servicesproducts/services
– Time-to-market has been slashed dramaticallyTime-to-market has been slashed dramatically– Enormous sums of money have been savedEnormous sums of money have been saved– Teams do not have to deal with the bureaucratic Teams do not have to deal with the bureaucratic
red tape ordinarily required to obtain approvalsred tape ordinarily required to obtain approvals
Tools to Improve Speed to Tools to Improve Speed to MarketMarket
• Computer-Aided Design/Computer-Aided Manufacturing Computer-Aided Design/Computer-Aided Manufacturing (CAD/CAM)(CAD/CAM)– Engineers, using CAD/CAM, can generate many Engineers, using CAD/CAM, can generate many
views of parts, rotate images, magnify views, and views of parts, rotate images, magnify views, and check for interference between partscheck for interference between parts
– Part designs can be stored in a data base for use on Part designs can be stored in a data base for use on other productsother products
– When it is time for manufacturing, the product design When it is time for manufacturing, the product design is retrieved, translated into a language that production is retrieved, translated into a language that production machinery understands, and then the production machinery understands, and then the production system can be automatically set up.system can be automatically set up.
Tools to Improve Speed to Tools to Improve Speed to MarketMarket
• SimultaneousSimultaneous(Concurrent)(Concurrent)EngineeringEngineeringEconomic and TechnicalEconomic and Technical
Feasibility StudiesFeasibility Studies
Product/Product/Service IdeasService Ideas
Production Process DesignProduction Process DesignProduct/Service DesignProduct/Service Design
Produce and MarketProduce and MarketNew Product/ServiceNew Product/Service
ContinuousInteraction
Improving the DesignImproving the Designof Existing Products/Servicesof Existing Products/Services
• Focus is improving performance, quality, and Focus is improving performance, quality, and costcost
• Objective is maintaining or improving market Objective is maintaining or improving market share of maturing products/servicesshare of maturing products/services
• Little changes can be significantLittle changes can be significant• Small, steady (continuous) improvements can Small, steady (continuous) improvements can
add up to huge long-term improvementsadd up to huge long-term improvements• Value analysisValue analysis is practiced, meaning design is practiced, meaning design
features are examined in terms of their features are examined in terms of their cost/benefit (value).cost/benefit (value).
Designing for Ease of Designing for Ease of ProductionProduction
• Ease of ProductionEase of Production ((ManufacturabilityManufacturability))– SpecificationsSpecifications - Precise information about the - Precise information about the
characteristics of the productcharacteristics of the product– TolerancesTolerances - Minimum & maximum limits on a - Minimum & maximum limits on a
dimension that allows the item to function as dimension that allows the item to function as designeddesigned
– StandardizationStandardization - Reduce variety among a group - Reduce variety among a group of products or partsof products or parts
– SimplificationSimplification - Reduce or eliminate the - Reduce or eliminate the complexity of a part or product complexity of a part or product
Designing for QualityDesigning for Quality
• Crucial element of product design is its Crucial element of product design is its impact on qualityimpact on quality
• Quality is determined by the customer’s Quality is determined by the customer’s perception of the degree of excellence of perception of the degree of excellence of the product/service’s characteristicsthe product/service’s characteristics
• Chapter 7 covers the principles of Chapter 7 covers the principles of designing products/services for qualitydesigning products/services for quality
Designing and Developing New Designing and Developing New ServicesServices
Three general dimensions of service design are:Three general dimensions of service design are:• Degree of Standardization of the ServiceDegree of Standardization of the Service
– Custom-fashioned for particular customers or basically Custom-fashioned for particular customers or basically the same for all customers?the same for all customers?
• Degree of Customer Contact in Delivering the ServiceDegree of Customer Contact in Delivering the Service– High level of contact (dress boutique) or low level (fast-High level of contact (dress boutique) or low level (fast-
food restaurant)?food restaurant)?• Mix of Physical Goods and Intangible ServicesMix of Physical Goods and Intangible Services
– Mix dominated by physical goods (tailor’s shop) or by Mix dominated by physical goods (tailor’s shop) or by intangible services (university)?intangible services (university)?
Designing and Developing New Designing and Developing New ServicesServices
• Differences Between New Service and Differences Between New Service and New Product DevelopmentNew Product Development– Unless services are dominated by physical Unless services are dominated by physical
goods, their development usually does not goods, their development usually does not require engineering, testing, and prototype require engineering, testing, and prototype building.building.
– Because many service businesses involve Because many service businesses involve intangible services, market sensing tends to intangible services, market sensing tends to be more by surveys rather than by market be more by surveys rather than by market tests and demonstrations.tests and demonstrations.
ProcessProcessPlanning and DesignPlanning and Design
Inputs:Inputs:• Product/Service InformationProduct/Service Information• Production System InformationProduction System Information• Operations StrategyOperations Strategy
Process Planning & Design:Process Planning & Design:• Process-Type SelectionProcess-Type Selection• Vertical Integration StudiesVertical Integration Studies• Process/Product StudiesProcess/Product Studies• Equipment StudiesEquipment Studies• Production Procedures StudiesProduction Procedures Studies• Facilities StudiesFacilities Studies
Outputs:Outputs:• Process Technology Process Technology • FacilitiesFacilities• Personnel EstimatesPersonnel Estimates
Process Planning and Design Process Planning and Design System System
Major Factors Affecting Process Major Factors Affecting Process DesignsDesigns
• Nature of product/service demandNature of product/service demand
• Degree of vertical integrationDegree of vertical integration
• Production flexibilityProduction flexibility
• Degree of automationDegree of automation
• Product/Service qualityProduct/Service quality
Nature of Product/Service Nature of Product/Service DemandDemand
• Production processes must have adequate Production processes must have adequate capacity to produce the volume of the capacity to produce the volume of the products/services that customers need.products/services that customers need.
• Provisions must be made for expanding or Provisions must be made for expanding or contracting capacity to keep pace with contracting capacity to keep pace with demand patterns.demand patterns.
• Some types of processes are more easily Some types of processes are more easily expanded and contracted than others.expanded and contracted than others.
• Product/service price affects demand, so Product/service price affects demand, so pricing decisions and the choice of pricing decisions and the choice of processes must be synchronized.processes must be synchronized.
Degree of Vertical IntegrationDegree of Vertical Integration
• Vertical integrationVertical integration is the amount of the is the amount of the production and distribution chain that is brought production and distribution chain that is brought under the ownership of a company.under the ownership of a company.
• This determines how many production This determines how many production processes need to be planned and designed.processes need to be planned and designed.
• Decision of integration is based on cost, Decision of integration is based on cost, availability of capital, quality, technological availability of capital, quality, technological capability, and more.capability, and more.
• Strategic outsourcingStrategic outsourcing (lower degree of (lower degree of integration) is the outsourcing of processes in integration) is the outsourcing of processes in order to react quicker to changes in customer order to react quicker to changes in customer needs, competitor actions, and technology.needs, competitor actions, and technology.
Production FlexibilityProduction Flexibility
• Product flexibilityProduct flexibility -- ability of the -- ability of the production (or delivery) system to quickly production (or delivery) system to quickly change from producing (delivering) one change from producing (delivering) one product (or service) to another.product (or service) to another.
• Volume flexibilityVolume flexibility -- ability to quickly -- ability to quickly increase or reduce the volume of increase or reduce the volume of product( or service) produced (or product( or service) produced (or delivered).delivered).
Degree of AutomationDegree of Automation
• Advantages of automationAdvantages of automation– Improves product qualityImproves product quality– Improves product flexibilityImproves product flexibility– Reduces labor and related costsReduces labor and related costs
• Disadvantages of automationDisadvantages of automation– Equipment can be very expensiveEquipment can be very expensive– Integration into existing operations can be Integration into existing operations can be
difficultdifficult
Product/Service QualityProduct/Service Quality
• Old viewpoint – high-quality products must be Old viewpoint – high-quality products must be made in small quantities by expert craftsmenmade in small quantities by expert craftsmen
• New viewpoint – high-quality products can be New viewpoint – high-quality products can be mass-produced using automated machinerymass-produced using automated machinery
• Automated machinery can produce products of Automated machinery can produce products of incredible uniformityincredible uniformity
• The choice of design of production processes is The choice of design of production processes is affected by the need for superior quality.affected by the need for superior quality.
Types of Process DesignsTypes of Process Designs
• Product-FocusedProduct-Focused
• Process-FocusedProcess-Focused
• Group Technology/Cellular ManufacturingGroup Technology/Cellular Manufacturing
Product-FocusedProduct-Focused
• Processes (conversions) are arranged Processes (conversions) are arranged based on the sequence of operations based on the sequence of operations required to produce a product or provide a required to produce a product or provide a serviceservice
• Also called “Production Line” or “Assembly Also called “Production Line” or “Assembly Line”Line”
• Two general formsTwo general forms– Discrete unit – automobiles, dishwashersDiscrete unit – automobiles, dishwashers– Process (Continuous) – petrochemicals, paperProcess (Continuous) – petrochemicals, paper
PurchasedPurchased
Components,Components,SubassembliesSubassemblies
Product-FocusedProduct-Focused
2222
3311
44
1
77
66
55
ComponentsComponents Subassem.Subassem.
AssembliesAssemblies
Product/Material FlowProduct/Material Flow
Production OperationProduction Operation
Ass
embl
ies
Ass
embl
ies
Raw MaterialRaw Material ComponentsComponents
Compon.
Compon.
Subassem.
Subassem.
Raw MaterialRaw Material
Fin. GoodsFin. Goods
Product-FocusedProduct-Focused
• AdvantagesAdvantages– Lower labor-skill requirementsLower labor-skill requirements– Reduced worker trainingReduced worker training– Reduced supervisionReduced supervision– Ease of planning and controlling productionEase of planning and controlling production
• DisadvantagesDisadvantages– Higher initial investment levelHigher initial investment level– Relatively low product flexibilityRelatively low product flexibility
Process-FocusedProcess-Focused
• Processes (conversions) are arranged based on the type Processes (conversions) are arranged based on the type of process, i.e., similar processes are grouped togetherof process, i.e., similar processes are grouped together
• Products/services (jobs) move from department (process Products/services (jobs) move from department (process group) to department based on that particular job’s group) to department based on that particular job’s processing requirementsprocessing requirements
• Also called “Job Shop” or “Intermittent Production”Also called “Job Shop” or “Intermittent Production”• ExamplesExamples
– Auto body repairAuto body repair– Custom woodworking shopCustom woodworking shop
Process-FocusedProcess-Focused
CuttingCutting AssemblyAssembly SandingSanding FinishingFinishingPlaningPlaning
DrillingDrilling
ShapingShaping
TurningTurning
1111 5555 7777
3333
2222
1111 6666
3333
6666
4444
2222Job AJob AJob AJob A
Job BJob B
4444 5555
Custom Woodworking ShopCustom Woodworking Shop
Process-FocusedProcess-Focused
• AdvantagesAdvantages– High product flexibilityHigh product flexibility– Lower initial investment levelLower initial investment level
• DisadvantagesDisadvantages– Higher labor-skill requirementsHigher labor-skill requirements– More worker trainingMore worker training– More supervisionMore supervision– More complex production planning and More complex production planning and
controllingcontrolling
Group Technology/Cellular Group Technology/Cellular ManufacturingManufacturing
• Group TechnologyGroup Technology– Each part produced receives a multi-digit Each part produced receives a multi-digit
code that describes the physical code that describes the physical characteristics of the part.characteristics of the part.
– Parts with similar characteristics are grouped Parts with similar characteristics are grouped into part familiesinto part families
– Parts in a part family are typically made on Parts in a part family are typically made on the same machines with similar toolingthe same machines with similar tooling
Group Technology/Cellular Group Technology/Cellular ManufacturingManufacturing
• Cellular ManufacturingCellular Manufacturing– Some part families (those requiring significant Some part families (those requiring significant
batch sizes) can be assigned to batch sizes) can be assigned to manufacturing cells.manufacturing cells.
– The organization of the shop floor into cells is The organization of the shop floor into cells is referred to as referred to as cellular manufacturingcellular manufacturing..
– Flow of parts within cells tend to be more like Flow of parts within cells tend to be more like product-focused systemsproduct-focused systems
Group Technology/Cellular Group Technology/Cellular ManufacturingManufacturing
• Advantages (relative to a job shop)Advantages (relative to a job shop)– Process changeovers simplifiedProcess changeovers simplified– Variability of tasks reduced (less training Variability of tasks reduced (less training
needed)needed)– More direct routes through the systemMore direct routes through the system– Quality control is improvedQuality control is improved– Production planning and control simplerProduction planning and control simpler– Automation simplerAutomation simpler
Group Technology/Cellular Group Technology/Cellular ManufacturingManufacturing
• DisadvantagesDisadvantages– Duplication of equipmentDuplication of equipment– Under-utilization of facilitiesUnder-utilization of facilities– Processing of items that do not fit into a family Processing of items that do not fit into a family
may be inefficientmay be inefficient
Group Technology/Cellular Group Technology/Cellular ManufacturingManufacturing
• Candidates for GT/CM are job shops Candidates for GT/CM are job shops having:having:– A degree of parts standardizationA degree of parts standardization– Moderate batch sizesModerate batch sizes
Product/Process Design & Product/Process Design & Inventory PolicyInventory Policy
• Standard Products and Produce to StockStandard Products and Produce to Stock– Sales forecasts drive production scheduleSales forecasts drive production schedule– Maintain pre-determined finished-goods levelsMaintain pre-determined finished-goods levels– MRP forecast drives material orderingMRP forecast drives material ordering
• Custom Products and Produce to OrderCustom Products and Produce to Order– Orders set production schedule and drive Orders set production schedule and drive
material deliveriesmaterial deliveries– Design time (Design time (preproduction planningpreproduction planning) may be ) may be
required before production can be scheduled required before production can be scheduled
Process Design in ServicesProcess Design in Services
• Some of the factors important in process Some of the factors important in process design for products are also important in design for products are also important in services:services:– Nature (level and pattern) of customer Nature (level and pattern) of customer
demanddemand– Degree of vertical integrationDegree of vertical integration– Production flexibilityProduction flexibility– Degree of automationDegree of automation– Service qualityService quality
Deciding Among Processing Deciding Among Processing AlternativesAlternatives
• Batch Size and Product/Service VarietyBatch Size and Product/Service Variety
• Capital RequirementsCapital Requirements
• Economic AnalysisEconomic Analysis– Cost Functions of Alternative ProcessesCost Functions of Alternative Processes– Break-Even AnalysisBreak-Even Analysis– Financial AnalysisFinancial Analysis
Process Design Depends Process Design Depends on Product Diversity and Batch Sizeon Product Diversity and Batch Size
Sm
all
B
atch
Siz
e
L
arge
Few Number of Product Designs Many
ProductProductFocused,Focused,DedicatedDedicatedSystemsSystems
ProductProductFocused,Focused,
BatchBatchSystemSystem
Process-Focused,Process-Focused, Job ShopJob Shop
CellularCellularManufacturingManufacturing
Capital RequirementsCapital RequirementsCapital RequirementsCapital Requirements
The amount of capital required tends to differ for The amount of capital required tends to differ for each type of production processeach type of production process
Generally, the capital required is greatest for product-Generally, the capital required is greatest for product-focused, dedicated systemsfocused, dedicated systems
Generally, the capital required is lowest for process-Generally, the capital required is lowest for process-focused, job shopsfocused, job shops
The amount of capital available and the cost of capital The amount of capital available and the cost of capital are important considerationsare important considerations
Economic AnalysisEconomic Analysis• Cost Functions of Processing AlternativesCost Functions of Processing Alternatives
– Fixed CostsFixed Costs• Annual cost when production volume is zeroAnnual cost when production volume is zero• Initial cost of buildings, equipment, and other fixed Initial cost of buildings, equipment, and other fixed
assetsassets
– Variable CostsVariable Costs• Costs that vary with production volumesCosts that vary with production volumes• Labor, material, and variable overheadLabor, material, and variable overhead
Cost Functions of Processing Cost Functions of Processing AlternativesAlternatives
Annual Cost of Production ($000)Annual Cost of Production ($000)
Units Units ProducedProducedPer YearPer Year
100,000100,000 250,000250,000
CellularCellularManufacturingManufacturing
PreferredPreferred
AutomatedAutomatedAssembly LineAssembly Line
PreferredPreferred
JobJobShopShop
PreferredPreferred500500
1,0001,000
2,0002,000
1,5001,500
Job Shop
Job Shop
Cellular Manuf.
Cellular Manuf.
Autom. Assembly LineAutom. Assembly Line
Cost Functions of Processing Cost Functions of Processing AlternativesAlternatives
• ExampleExample
Three production processes (A, B, and C) have Three production processes (A, B, and C) have the following cost structure:the following cost structure:
Fixed CostFixed Cost Variable Cost Variable CostProcessProcess Per YearPer Year Per YearPer Year
AA $120,000$120,000 $3.00 $3.00 BB 90,000 90,000 4.004.00 CC 80,000 80,000 4.504.50
What is the most economical process for a volume of What is the most economical process for a volume of 8,000 units per year?8,000 units per year?
Cost Functions of Processing Cost Functions of Processing AlternativesAlternatives
• ExampleExample
TC = FC + v(Q)TC = FC + v(Q)
A: TC = 120,000 + 3.00(8,000) = $144,000 per yearA: TC = 120,000 + 3.00(8,000) = $144,000 per yearB: TC = 90,000 + 4.00(8,000) = $122,000 per yearB: TC = 90,000 + 4.00(8,000) = $122,000 per yearC: TC = 80,000 + 4.50(8,000) = $116,000 per yearC: TC = 80,000 + 4.50(8,000) = $116,000 per year
The most economical process at 8,000 units is The most economical process at 8,000 units is Process CProcess C, with the lowest annual cost., with the lowest annual cost.
Economic AnalysisEconomic Analysis
• Break-Even AnalysisBreak-Even Analysis– Widely used to analyze and compare decision Widely used to analyze and compare decision
alternativesalternatives– Can be displayed either algebraically or Can be displayed either algebraically or
graphicallygraphically– Disadvantages:Disadvantages:
• Cannot incorporate uncertaintyCannot incorporate uncertainty• Costs assumed over entire range of valuesCosts assumed over entire range of values• Does not take into account time value of moneyDoes not take into account time value of money
Break-Even AnalysisBreak-Even Analysis
• ExampleExample
Break-Even Points of Processes A, B, and C, Break-Even Points of Processes A, B, and C, assuming a $6.95 selling price per unitassuming a $6.95 selling price per unit
Q = FC / (p-v)Q = FC / (p-v)
A: Q = 120,000 / (6.95 - 3.00) = 30,380 unitsA: Q = 120,000 / (6.95 - 3.00) = 30,380 unitsB: Q = 90,000 / (6.95 - 4.00) = 30,509 unitsB: Q = 90,000 / (6.95 - 4.00) = 30,509 unitsC: Q = 80,000 / (6.95 - 4.50) = 32,654 unitsC: Q = 80,000 / (6.95 - 4.50) = 32,654 units
Process A has the lowest break-even point.Process A has the lowest break-even point.
Economic AnalysisEconomic Analysis
• Financial AnalysisFinancial Analysis– A great amount of money is invested in A great amount of money is invested in
production processes and these assets are production processes and these assets are expected to last a long timeexpected to last a long time
– The time value of money is an important The time value of money is an important considerationconsideration• Payback periodPayback period• net present valuenet present value• internal rate of returninternal rate of return• Profitability indexProfitability index