4. Use the provided chart to solve this problem. Show your work. factor namesingle paymentcompound amountsingle paymentpresent worthuniform seriessinking fundcapital recoveryuniform seriescompound amountuniform seriespresent worthuniform gradientpresent worthuniform gradientfuture worthuniform gradientuniform seriesconvertsP to FF to PF to AP to AA to FA to PG to PG to FG to Asymbol(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)-¹i(1 + i)" - 1i(1+i)"(1+i)n-1(1+i)n-1i(1+i)n-1i(1+i)n1-i(1+i)n-11² (1+i)nni(1+i)n(1+i)n-1nin(1+i)n-1 4. A project will cost $50,000. The benefits at the end of the first year are estimated tobe $10,000, increasing $1000 per year in subsequent years. Assume a 12% interestrate, no salvage value, and an eight-year analysis period. What is the Benefit-CostRatio?

Project cost = 50,000 1st year benefited = 10,000 increasing by 1000 per year r = 12%

4. A project will cost $50,000. The benefits at the end of the first year are estimated to be $10,000, increasing $1000 per year in subsequent years. Assume a 12% interest rate, no salvage value, and an eight-year analysis period. What is the Benefit-Cost Ratio?

4. A project will cost $50,000. The benefits at the end of the first year are estimated to be $10,000, increasing $1000 per year in subsequent years. Assume a 12% interest rate, no salvage value, and an eight-year analysis period. What is the Benefit-Cost Ratio?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

4. Use the provided chart to solve this problem. Show your work.

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

4. A project will cost $50,000. The benefits at the end of the first year are estimated to
be $10,000, increasing $1000 per year in subsequent years. Assume a 12% interest
rate, no salvage value, and an eight-year analysis period. What is the Benefit-Cost
Ratio?

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