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?
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?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
5. Use the provided chart to solve this problem. Show your work.

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?

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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