wo alternatives are being considered: Initial Cost Uniform Annual Benefit Useful Life A $500 $140 8 B $800 $200 8 What is the Benefit Cost Ratio of the difference between the alternatives, based on 2% interest rate?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter20: Engineering Economics
Section: Chapter Questions
Problem 46P
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5. Use the provided chart to solve this problem. Show your work.

5. Two alternatives are being considered:
Initial Cost
Uniform Annual Benefit
Useful Life
A
B
$500 $800
$140
$200
8
8
What is the Benefit Cost Ratio of the difference between the alternatives, based on
12% interest rate?
Transcribed Image Text:5. Two alternatives are being considered: Initial Cost Uniform Annual Benefit Useful Life A B $500 $800 $140 $200 8 8 What is the Benefit Cost Ratio of the difference between the alternatives, based on 12% interest rate?
factor name
single payment
compound amount
single payment
present worth
uniform series
sinking fund
capital recovery
uniform series
compound amount
uniform series
present worth
uniform gradient
present worth
uniform gradient
future worth
uniform gradient
uniform series
converts
P to F
F to P
F to A
P to A
A to F
A to P
G to P
G to F
G to A
symbol
(F/P, i%, n)
(P/F, 1%, n)
(A/F, i%, n)
(A/P, i%, n)
(F/A, 1%, n)
(P/A, i%, n)
(P/G,i%, n)
(F/G,1%, n)
(A/G, i%, n)
formula
(1 + i)"
(1 + i)-¹
i
(1 + i)" - 1
i(1+i)"
(1+i)n-1
(1+i)n-1
i
(1+i)n-1
i(1+i)n
1-
i
(1+i)n-1
1² (1+i)n
n
i(1+i)n
(1+i)n-1
n
i
n
(1+i)n-1
Transcribed Image Text:factor name single payment compound amount single payment present worth uniform series sinking fund capital recovery uniform series compound amount uniform series present worth uniform gradient present worth uniform gradient future worth uniform gradient uniform series converts P to F F to P F to A P to A A to F A to P G to P G to F G to A symbol (F/P, i%, n) (P/F, 1%, n) (A/F, i%, n) (A/P, i%, n) (F/A, 1%, n) (P/A, i%, n) (P/G,i%, n) (F/G,1%, n) (A/G, i%, n) formula (1 + i)" (1 + i)-¹ i (1 + i)" - 1 i(1+i)" (1+i)n-1 (1+i)n-1 i (1+i)n-1 i(1+i)n 1- i (1+i)n-1 1² (1+i)n n i(1+i)n (1+i)n-1 n i n (1+i)n-1
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