Question

Nules. Enter the information exactly as below. Factor Annuity (05/1.ES/E71/((1+5)*E7-1) =3*G3 30,000.00 Investment Save: 30
1. When the MARR is 15% and the life of the heating system asset is 6 years is the alternative acceptable? a. True b. False 2
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Answer #1

1.

False

Working note:

PW of the savings = 30000*(1-1/1.15^6)/.15 + 8000/1.15^6 - 120000

PW of the savings = -$3006.9

Since PW is negative, so investments is not acceptable and it should not take place.

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2.

True

Working note:

When MARR decreases from 15% to 14% or less, then PW becomes positive. Then, investment should be accepted.

When MARR = 14%

Then,

PW of the savings = 30000*(1-1/1.14^6)/.14 + 8000/1.14^6 - 120000

PW of the savings = $304.72

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3.

Yes

Working note:

When salvage value is $20000, then:

PW = 30000*(1-1/1.15^6)/.15 + 20000/1.15^6 - 120000

PW = 2181.03

Now, PW is positive, so project should be accepted.

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4.

True

Working note:

PW = 30000*(1-1/1.15^10)/.15 + 8000/1.15^10 - 120000

PW = $32540.54

Now, PW is positive, so investment should be accepted.

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