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Calculate the Benefit-Cost Analysis Ratio
A city engineer is deciding which of two alternatives to select. If the interest rate is 10% per year, the Benefit-Cost analysis ratio of the alternative to be selected is most nearly:
Alternative A:
PW of Benefits = $13,000 (P/A, 10%, 6)
= $13,000 (4.355)
= $56,615
PW of Costs = $48,000
B/C = $56,615/$48,000 = 1.179
Alternative B:
PW of Benefits = $12,000 (P/A, 10%, 6)
= $12,000 (4.355)
= $52,260
PW of Costs = $40,000
B/C = $52,260/$40,000 = 1.3065
Since B/C of Alternative B is more than Alternative A, select Alternative B.
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