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In: Economics

For the below ME alternatives , which machine should be selected based on the PW analysis....

For the below ME alternatives , which machine should be selected based on the PW analysis. MARR=10%

Machine A Machine B Machine C
First cost, $ 22,421 30000 10000
Annual cost, $/year   8,497                6,000             4,000
Salvage value, $                  4,000                5,000             1,000
Life, years 3 6 2

Answer the below questions :

A- PW for machine A=

Solutions

Expert Solution

Machine A:

First Cost = 22,421

Annual Cost = 8,497

Salvage Value = 4,000

Life = 3

Year Annual Cost Present worth of annual cost Rough work to calculate present worth
1 8,497                                      7,724.55 [8,497 / 1.1^1]
2 8,497                                      7,022.31 [8,497 / 1.1^2]
3 8,497                                      6,383.92 [8,497 / 1.1^3]
                                   21,130.78

Present worth of salvage at the end of 3 years = [4,000 / 1.1^3] = 3,005.26

Present worth of machine A = - First cost - Present worth of annual maintenance cost + Present worth of salvage value = - 22,421 - 21,130.78 + 3,005.26 = - 40,546.52


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