Question

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, $ 15000 30000 11,265
Annual cost, $/year   14,021                6,000             4,000
Salvage value, $                  4,000                5,000             1,000
Life, years 3 6 2

Answer the below questions :

C- PW for machine C =

Solutions

Expert Solution

The present worth of total outflows for Machine C is the least ($ 17,379) of the three machines @ MARR of 10%, therefore machine C should be selected:

Year PW factor @ MARR= 10% Machine A PW @ MARR Machine B PW @ MARR Machine C PW @ MARR
0 1 -15000 -15000 -30000 -30000 -11265 -11265
1 0.909 -14021 -12745 -6000 -5454 -4000 -3636
2 0.826 -14021 -11581 -6000 -4956 -3000 -2478
3 0.751 10021 7526 -6000 -4506
4 0.683 -6000 -4098
5 0.621 -6000 -3726
6 0.564 -1000 -564
Total PW(A) -31801 Total PW (B) -53304 Total PW(C) -17379

(Note that the outflows in terminal years for each machines is reduced by scarp sale inflows).


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