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This guide explores essential concepts in engineering economics, focusing on the time value of money, interest calculations, and breakeven analysis. We delve into various methods including present worth (PW), future worth (FW), and equivalent uniform annual worth (EUAW) for evaluating economic alternatives with different lifespans. Learn how to calculate simple and discounted payback periods, and understand the significance of breakeven points in determining production levels for zero profit. Ideal for engineering professionals and students seeking to master economic analysis.
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Engineering economics • Interest • Time value of money • Evaluating economic alternatives • Breakeven economics
Interest Interest = total amount owed – principal amount (12.1) (12.2) Interest = (principal)(number of interest periods)(interest rate) (12.3) = Pni
F = ? P period 0 1 2 3 4 n-2 n-1 n Single payment compound amount (12.4) (12.5)
F P=? period 0 1 2 3 4 n-2 n-1 n Single payment present worth (12.6)
Uniform series compound amount P = ? A A A A A A A period n-2 n-1 n 0 1 2 3 4 (12.7)
P A=? A A A A A A period n-2 n-1 n 0 1 2 3 4 Capital recovery (12.8)
Nominal interest i = effective interest rate r = nominal interest rate m = interest periods per year y = number of years (12.9) (12.10)
F = ? A A A A A A A period 0 1 2 3 4 n-2 n-1 n Uniform series compound amount (12.11) (12.12)
F A=? A A A A A A period 0 1 2 3 4 n-2 n-1 n Uniform series sinking fund (12.13)
A+(n-1)G A+(n-2)G A+(n-3)G P = ? A+4G A+3G A+2G A period n-2 n n-1 0 1 2 3 4 Gradient series (12.14) (12.15) (12.16)
Present worth method (12.17) (12.18)
years 0 1 2 3 4 5 6 $45,000 $45,000 years 0 1 2 3 4 5 6 least common multiple $30,000 $30,000 $30,000 Least common multiple
Future worth method (12.19) (12.20) (12.21)
Equivalent annual worth method (12.22) (12.23)
Rate of return method (12.24)
Simple payback period (12.25)
Discounted payback period (12.26)
R Cost Profit TC breakeven point Loss FC q q* Breakeven quantity Breakeven analysis
Summary • Engineering economic analyses should consider the time value of money • Interest factor formulas and tables are useful in evaluating alternatives • The PW and FW methods can be used to evaluate alternatives having different lives by using the least common multiple of years. • The EUAW method is preferred because it has the advantage of not requiring the use of the least common multiple. • The breakeven point is that level of production (and sales) that results in a zero profit