Question 7.T: In a chlorine-fluxing installation in a large aluminum compa...

In a chlorine-fluxing installation in a large aluminum company,  engineers  are  considering  the replacement  of existing plastic pipe fittings with more expensive, but longer lived, copper fittings. The following table gives a comparison of the capital investments, lives, salvage values, and so on of the two mutually exclusive alternatives under consideration:

Plastic Copper

Capital investment

$5,000 $10,000
Useful (class) life 5 years

10 years

Salvage value for depreciation purposes $1,000(= S V_{5})

$5,000(= SV_{10})

Annual expenses

$300 $100
Market value at end of useful life $0

$0

Depreciation amounts are calculated with the SL method. Assume an income tax rate of 40% and a MARR after-taxes of 12% per year. Which pipe fitting would you select and why? Carefully list all assumptions that you make in performing the analysis. (7.9, 7.10)

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Assume repeatability.

Alternative A: Plastic

d = ($5,000 − $1,000)/5 = $800

EOY

(A)
BTCF
(B)
Depr.
(C) = (A) − (B)
TI
(D) = −t (C)
T (40%)

(E) = (A) + (D)
ATCF

0
1–5
5

−$5,000
−$300
0

$800

−$1,100
−$1,000

$440
$400

− $5,000
$140
$400

AW_{A} (12%) = −$5,000(A/P, 12%, 5) + $140 + $400(A/F, 12%, 5) = −$1,184

Alternative B: Copper

d = ($10,000 − $5,000)/10 = $500

EOY

(A)
BTCF
(B)
Depr.
(C) = (A) − (B)
TI
(D) = −t (C)
T (40%)

(E) = (A) + (D)
ATCF

0
1−10
10

−$10,000
−$100
0

$500

−$600
−$5,000

$240
$2,000

− $10,000
$140
$2,000

AW_{B} (12%) = −$10,000(A/P, 12%, 10) + $140 + $2,000(A/F, 12%, 5) = −$1,516

Select Alternative A: Plastic.

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