Question

Two mutually exclusive water purification systems are being considered for implementation overseas. Refer to the data...

Two mutually exclusive water purification systems are being considered for implementation overseas. Refer to the data below:

System 1

System 2

Capital investment

Annual revenues

Annual expenses

MV at end of useful life

Useful life

$100,000

$50,000

$15,000

$20,000

13 years

$150,000

$75,000

$20,000

0

26 years

If MARR = 30 % per year, determine the present worth (PW) of the most profitable water purification system to use. Use the repeatability assumption. (Enter your answer as a number without the dollar sign.)

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Answer #1

PW of system 1 = -100000 - 100000(P/F, 30%, 13) + 20000(P/F, 30%, 13) + 20000(P/F, 30%, 26) + (50000 -

15000)(P/A, 30%, 26)

= -100000 - 80000*0.033017 + 20000*0.001090 + 35000*3.3297

= $13,920.

PW of system 2 = -150,000 + (75000 - 20000)(P/A, 30%, 26) + 0(P/F, 30%, 26)

= -150000 + PV(30%,26,-55000,0)

= $33,133.48

The present worth (PW) of the most profitable water purification system to use is $33,133.48 (system 2)

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