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A flood control project with a life of 19 years will require an investment of $56,000 and annual maintenance costs of $4,000.

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Answer – B. The modified B-C ratio for the flood control project is 2.36

Life of the project = 19 years

Initial investment = $56,000

Annual maintenance costs = $4,000

Benefits starts from 3rd year up to 19th year = $25,000 (for 17 years)

MARR = 10%

Calculate Modified B-C Ratio

Modified B-C Ratio (using PW Method)

= PW of Benefits – PW of Annual Maintenance Cost ÷ Initial Investment

PW of Benefits

PW of Benefits = $25,000 (P/A, 10%, 17) (P/F, 10%, 2)

PW of Benefits = $25,000 (8.0216) (0.8264) = $165,726.256

PW of Maintenance Cost

PW of Annual Cost = $4,000 (P/A, 10%, 19)

PW of Annual Cost = $4,000 (8.3649) = $33,459.6

Modified B-C Ratio (using PW Method) = ($165,726.256 – $33,459.6) ÷ $56,000

Modified B-C Ratio (using PW Method) = $132,266.656 ÷ $56,000

Modified B-C Ratio (using PW Method) = $132,266.656 ÷ $56,000

Modified B-C Ratio (using PW Method) =2.36

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