Question 6.X: Use the CW method to determine which mutually exclusive brid...

Use the CW method to determine which mutually exclusive bridge design (L or H) to recommend, based on the data provided in the accompanying table. The MARR is 15% per year. (6.4)

Design L

Design H

Capital investment

$274,000 $326,000
Annual expenses $10,000

$8,000

Periodic upgrade cost

$50,000 $42,000
(every sixth year)

every sixth year

Market value

0 0
Useful life (years) 83

92

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CW_{L} (15%) = \left[\frac{- \$274,000\left(A/P , 15\%, 83\right)   –  \$10,000  – \$50,000\left(A/F,  15\%,  6\right) }{0.15} \right]

= − $\underline{378, 733}

CW_{H} (15%) = \left[\frac{- \$326,000\left(A/P , 15\%, 92\right)  – \$8,000  – \$42,000\left(A/F,  15\%,  7\right) }{0.15} \right]

=  − $404, 645
Select Bridge Design L to minimize cost

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