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Transcript of Unit 01 lecture 01
ENGR 3360UUnit 1
General Introduction to Engineering Economics
Dr. J. Michael Bennett, P. Eng., PMP,
UOIT,
Version 2013-I-01
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-2
Change Record
2013-I-01 Initial Creation
2013-I-09 small edits
Unit 1 – General Introduction to Engineering Economics
Course Outline
1. Engineering Economics
2. General Economics
1. Microeconomics
2. Macroeconomics
3. Money and the Bank of Canada
3. Engineering Estimation
4. Interest and Equivalence
5. Present Worth Analysis
6. Annual Cash Flow
7. Rate of Return Analysis
8. Picking the Best Choice
9. Other Choosing Techniques
10. Uncertainty and Risk
11. Income and Depreciation
12. After-tax Cash Flows
13. Replacement Analysis
14. Inflation
15. MARR Selection
16. Public Sector Issues
17. What Engineering should know about Accounting
18. Personal Economics for the Engineer
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-3
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-4
Learning Objectives
Why should you take this course?
This course is a bird, right?
Engineering and economy
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-5
Mottos
Time is money
An engineer is someone who can build for a dime, what any damn fool can build for a dollar
There are three kinds of economists; those who count and those who don’t
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-6
Observation
How many filthy rich economists do you know?
Do you think that Bill Gates would pass this course? Would he even take it?
Unit 1 – General Introduction to Engineering Economics
Economics
The “dismal” science (Carlyle)
“founded” by Scottish philosopher Adam Smith
“Wealth of Nations”
The “invisible hand” of the market place
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-7
Unit 1 – General Introduction to Engineering Economics
Carlyle’s snide quote
“Teach a parrot to say “supply and demand” and you’ve got an economist”
“Give me a one-handed economist; all of the others say <<on one hand…on the other hand>>” Harry S. Truman
Is a Nobel category
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-8
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-9
Roadmap for Chapter 11. Options and
Questions
2. Decision Making
3. Macro and Micro Economics
4. Fundamental Business Structures
5. Interest Rates
6. Spreadsheet functions
7. Minimum attractive rate of return
8. Cash flows
9. Doubling times
Unit 1 – General Introduction to Engineering Economics
What is the most important Engineering Variable?
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-10
$ £ € ¥
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-11
Why Engineering Economy is Important to Engineers
Engineers “design” and create Designing involves economic decisions Engineers must be able to incorporate economic analysis into their creative efforts Often engineers must select and execute from multiple alternatives A proper economic analysis for selection and execution is a fundamental aspect of engineering
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-12
Engineering Economy
The art and science that involves:Formulating,
Estimating and
Evaluating economic outcomes
Always concerned with the selection and possible execution of alternatives given the economic parameters associated with the project
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-13
Role of Engineering Economy in Decision Making
Decision making involves the estimation of future events/outcomes Engineering economy aids in quantifying past outcomes and forecasting future outcomes Engineering Economy provides a framework for modeling problems involving:
TimeMoneyInterest rates
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-14
Two Concerns of Engineering
Engineers have the dual task of determining:
1. What society wants (its needs), and
2. How best to combine econo
mic resources, processes, etc. to produce the goods and services desired by society.
Efficiency: economic and physical efficiency must be considered.
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-15
Physical and Economic Efficiency
Physical efficiencyMeasure of the success of engineering activity in the physical environment; ratio of outputs to inputs
Maximum physical efficiency ratio is 1 (or 100%)
Physical units include BTUs, kw-hours, etc.
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-16
Economic efficiencyRatio of value or worth to cost; must exceed 1 or 100%
Engineer must produce outputs that are most-valued (of greatest satisfaction) by society (economic efficiency)
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-17
ENGINEERING SPHERE
1950s
ECONOMIC SPHERE
1970s+
ECONOMIC SPHERE
ENGINEERING SPHERE
Evolution of Economic & Physical Efficiency
(Physical efficiency)(Economic
efficiency)
Economic Efficiency
Independent decision makingSignificant overlap
Physical efficiency
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-18
2 The Decision Making Process1. Understand the problem – define objectives
2. Collect relevant information
3. Define the set of feasible alternatives
4. Identify the criteria for decision making
5. Evaluate the alternatives and apply sensitivity analysis
6. Select the “best” alternative
7. Implement the alternative and monitor results
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-19
2.1 Understand the problem - define objectives
Problems can be simple, complex or intermediate
Are referred to as “opportunities”Build a new model
Replace an old plant
Open up in a new territory
Must refine opportunities into metrics (objectives)
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-20
Project ObjectivesDevelop expertise in some area.
Become competitive
Improve productivity
Reduce costs
Modify an existing facility
Develop a new sales strategy
Develop a new product
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-21
SMART Objectives
S = Specific
M = Measurable
A = Achievable
R = Realistic
T = Time-Limited
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-22
Minor Characteristics of ObjectivesThey should be
verifiablealignedcast in terms of deliverablescomprehensiblesingle-ended
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-23
Priorities of ObjectivesHand rank
Matrix
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-24
Scoring Models
Can build various objectives into a scoring model
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-25
2.2 Collect Relevant Information
Objectives are metricized so start there
Money is a biggy
As is Interest Rates, Inflation Rate, etc
May need customer surveys (consider Microsoft launching Windows-8)
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-26
Example: Gassing up in Oshawa
Need to evaluate all prices on a daily basis plus weekly plus monthly plus “externals”
Observations of a Shrewd Gas-upperMorning BAD
Later in the evening best
South side normally lower than north end
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-27
2.3 Define the Set of Feasible Alternatives
Do nothing (always a possibility)
Alternative A
Alternative B
………
Alternative n
Unit 1 – General Introduction to Engineering Economics
Opportunity Cost
What will it cost you by NOT doing something?
Can be 1 thing: can be 1,000 things
For example, going to FEAS/UOIT
OC is flipping burgers at MickeyDs
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-28
Unit 1 – General Introduction to Engineering Economics
OC of going to Class
You could be flipping burgers at MickyDs
6*8*10 = $480/wk
35 week = 35*480 = 17,000
Your OPPORTUNITY COST IS $17,000
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-29
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-30
2.4 Identify the Criteria for Decision Making
What is the most important criterion?
Normally, money but can be other things
(protection of the environment, exclusion of a competitor into a new market, etc.)
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-31
2.5 Evaluate the Alternatives (apply sensitivity analysis)
Some parameters are keyInterest rates
Inflation rate
Canadian dollar rate
Demand expectation
Price of oil
SA varies these to see how the chosen model reacts
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-32
2.6 Select the “Best” Alternative
Be sure to state all assumptions and constraints
When the project is done, we will do a post-mortem
Needs these to justify decisions
For example, Tar Sands development: assumed price of oil critical
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-33
2.7 Implement the Best and Monitor
Do it
Check it
Do root cause analysis
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-34
Time Value of Money
All firms make use of investment of funds
Investments are expected to earn a return
Investment involves money
Money possesses a “time value”
The “time value” of money is the most important concept in engineering economy
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-35
Performing An Engineering Economy Study
Engineering Economy Studies: Define Alternatives
Do-nothing alternative – maintain the status quo Define feasible alternatives – that can solve the problem
Define/estimate the current and future cash flows
Perform the analysis Apply the tools and methods of engineering economy
Selection of the best alternative
Implement and monitor
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-36
3 Macro and Microeconomics
Fundamental approach of EconomicsDraw a circleInside, Microeconomics describes
Actions of individuals and groups in individual markets (choice under scarcity, implications on prices and demand)
Outside, Macroeconomics describesPerformance of national economies and their policies (unemployment rate, overall level of prices, GDP, prime rate, price of oil etc).
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-37
Microeconomics
Comparative advantage
Supply and demand
Competition and the invisible hand
Efficiency and exchange
Profit
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-38
Macroeconomics
Global supply and demand
Economic growth and living standards
Productivity
Recessions and expansions
Unemployment
Inflation
Money, Banks and Central Banking
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-39
4 Fundamental Business Structures
1. Sole proprietorship
2. Partnership
3. Limited partnership
4. Corporation
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-40
4.1 Sole Proprietorship
Business owned by one person
Easiest to start, least regulated
Owner keeps all of the profits BUT is responsible for all debts
Owner has unlimited liability which means that Loophole and Loophole can foreclose on your house, Mercedes, wifey’s diamonds, hubby’s Hummers, etc
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-41
Characteristics of Sole Proprietorships
Cheapest and fastest to set up
All business profits are taxed as personal income
Owner has unlimited liability, extending to all of her assets
Life of the firm is limited to the life of the owner
Transfer of ownership requires the sale of the whole business to the new owner
Equity financing is limited to personal wealth of the owner
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-42
4.2 Partnership
Involves two or more owners. Here partners run the company together
They also share all profits and losses, under a pre-existing agreement
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-43
Characteristics of Partnerships
Inexpensive, easy to form
General partners have full liability for debts
Partnership is dissolved when a partner dies or withdraws
Difficult for partners to raise money
Management control resides only with the partners
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-44
4.3 Limited Partnership
Some of the partners are involved only as investors
These are called limited partners
Are liable only up to the amount of their investment
The daily running of the business is not their concern
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-45
Characteristics of Limited Partnerships
Limited partners have limited liability
LPs can withdraw at any time
LPs have no control over management of the group
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-46
4.1 Corporations
Corporations are owned by shareholders
Set up as an independent business entity with clearly specified rights and obligations
Shareholders elect a Board of Directors which is responsible for picking managers to run the business in the best interests of the shareholders
The corporation is a separate legal entity which is responsible for its debts
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-47
Corporations cont.
Humans and other legal entities (other corporations, trusts) can hold shares in the corporation
If no stockholders exist, can be a “non-stock corporation”
Also a “membership corporations” Not-for-profit corps such as churches, charities etc.
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-48
Stocks
Can be closely held (private) or publicly traded
“Traded” means traded on a stock exchange or an “over-the-counter” market
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-49
Characteristics of Corporations
Ownership of the corp is easily transferredThe corporation has unlimited life (oldest is a Japanese company, 800 years old)Shareholders’ liability is limited to amount of shares heldIs almost the only way to run large organizations (J exception!)Is the easiest form to raise large amounts of capital quickly (e.g.. Google)
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-50
Corporate Finance (for all 4)
Capital Budgeting – what are the long-term strategies the company should undertake?
Capital Structure – what is the best way to raise long-term financing to make new products
Working Capital Management – how does the company manage its short-term cash flow in order to pay people, suppliers etc
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-51
Corporate Financing
Primary goal is to ensure that the return on capital exceeds the cost of capital without taking big risks
Goal is to enhance corporate value
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-52
5 Interest Rates and Rate of Return
Interest – the manifestation of the time value of money
Rental fee that one pays to use someone else’s money
Difference between an ending amount of money and a beginning amount of money
Interest rate (%) =
in te re s t a c c ru e d p e r t im e u n it x 1 0 0 %
o rig in a l a m o u n t
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-53
Rate of Return
Interest earned over a period of time is expressed as a percentage of the original amount, specifically;
Borrower’s perspective – interest rate paid
Lender’s perspective – interest rate earned
interest accrued per specific time periodRate of return (%) =
original amount X100%
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-54
Economic Equivalence Different sums of money at different times may be equal in economic value
0 1
$100 now
$106 one
year from now
Interest rate = 6% per year
$100 now is said to be equivalent to $106 one year from now, if the $100 is invested at the interest rate of 6% per year.
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-55
Simple and Compound Interest
Simple Interest:Interest = (principal)(number of periods)(interest rate)
Compound Interest:Interest earns interest on interest
Compounds over time
Interest = (principal + all accrued interest) (interest rate)
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-56
Terminology and Symbols P = a present sum of money at a time designated as t = 0 { t represents time}
F = a future amount of money at some point in time later than t = 0
A = a series of equal, end-of-period cash flows
n = the number of interest periods
i = the interest rate or rate of return per time period, in percent
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-57
6. Introduction To Solution By Computer
Application of Microsoft’s Excel© spreadsheet program
Excel financial functionsPresent Value P: =PV(i%,n,A,F)
Future Value F: =FV(i%,n,A,P)
Equal, periodic value: =PMT(i%,n,P,F)
No. of periods: =NPER((i%,A,P,F)
Compound interest rate: =RATE(n,A,P,F)
Compound interest rate: =IRR(first_cell:last_cell)
Present value of a series: =NPV(i%,cell2:last_cell) + cell1
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-58
7. MARR (Minimum Attractive Rate of Return) Investors expect to earn a return on their investment (commitment of funds) over time We expect to see economic efficiencies greater than 100% A profitable investment should earn (return) funds in excess of the investment amounts Economic projects should earn a reasonable return, which is termed:
MARR – Minimum Attractive Rate of ReturnAlso termed the “hurdle” rate for an investment
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-59
The MARR
The MARR is established by the financial managers of the firm
The MARR is expressed as a percent value
Most, if not all, projects should earn at a rate equal to or greater than the established MARR
MARR’s are set based upon: The cost of all types of capital
Allowance for risk
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-60
Types of Financing Equity Financing – the firm uses funds either from retained earnings, new stock issues, or owner’s infusion of money Debt Financing – the firm borrows funds from outside sources
The cost of debt financing = the interest rate charged on the debt (loan) amounts
The MARR is approximated from the weighted average cost of all sources of capital to the firm A firm’s ROR > MARR > cost of capital
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-61
8 Cash Flows: Their Estimation and Diagramming
Definition of termsCash Inflows - amount of funds flowing into the firmCash Outflows – amount of funds flowing out of the firm
Net Cash Flow equals Cash inflows – cash outflows
Assumption for analysis – end of periodFunds flow at the end of a given (interest) period
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-62
Cash Flow DiagramsA typical cash flow diagram might look like:
0 1 2 … … … n-1 n
1. Draw a time line
One time period
0 1 2 … … … n-1 n
2. Show the cash flows
Cash flows are shown as directed arrows (+ for up or – for down) ---
(+) inflow; (-) outflow
Always assume end-of-period
cash flows!
Unit 1 – General Introduction to Engineering Economics
9 Course Assumptions
Fallacy of linearity
Show me a linearity in nature!
Pointy-Haired-Boss and St Dilbert
PHB e.g.One woman creates a baby in 9 months
Nine women create one in 1 month!
Assumption of homo economicus
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-63
Unit 1 – General Introduction to Engineering Economics
Guestimation
Engineers must do this all the time
How many dogs are there in Canada?
Interpolation si; extrapolation non!
Rule-of-six
Estimation accuracy
Estimation of SD
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-64
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-65
Rule of 72: Estimating Doubling Time
Common question:Estimate the number of time periods it takes for a cash flow to double in size
Given an interest rate i% per period
The approximate time n for an investment at time
t = 0 to double in value is given by:
n = 72/ie.g., $10,000 at 7% per year doubles to $20,000 in 10.3 years
Unit 1 – General Introduction to Engineering Economics
Economists you should Know
Adam Smith (invisible hand man)
Karl Marx (boo-hiss)
Alfred Marshall (2 blades of the scissors)
John Maynard Keynes (when in doubt, SPEND)
Milton Friedman (Chicago - yea)
Paul Samuelson (ol’ guns and butter)
Ben Bernanke (chair of the US Fed)
Paul Krugman (contrarian)
Mark Carney (gov, Bank of Canada)
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-66
Unit 1 – General Introduction to Engineering Economics
2013-I-01 Dr. J.M. Bennett, P.Eng., PMP ENGR 3360U Eng Eco1-67
Chapter Summary
Engineering Economy – application of economic factors and criteria to evaluate alternatives
Applies the time value of money
Application of economic equivalence
Introduction of the MARR
Cash flow estimationModeling – cash flow diagrams
Difficulties in estimation
Perspectives – viewpoints taken