Question

In: Economics

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

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

Machine A Machine B Machine C
First cost, $ 15,567 30000 10000
Annual cost, $/year   9,535                6,000             4,000
Salvage value, $                  4,000                5,000             1,000
Life, years 3 6 2

Answer the below questions :

A- AW for machine A=

Solutions

Expert Solution

Answer:
Machine A Machine B Machine C
First cost (a)                       15,567.00                       30,000.00                       10,000.00
Life                                  3.00                                  6.00                                  2.00
Annual cost                          9,535.00                          6,000.00                          4,000.00
PV of annual cost (b) 9,535 * PVAF(10%,3) 6,000 * PVAF(10%,6) 4,000 * PVAF(10%,2)
9,535 * 2.487 6,000 * 4.355 4,000 * 1.7355
                      23,713.55                       26,130.00                          6,942.00
Salvage value                          4,000.00                          5,000.00                          1,000.00
Pv of salvage © 4,000 * PVIF(10%,3) 5,000 * PVIF(10%,6) 1,000 * PVIF(10%,2)
4,000 * 0.7513 5,000 * 0.5645 1,000 * 0.8264
                         3,005.20                          2,822.50                             826.40
NPV (-a-b+c)                     (36,275.35)                     (53,307.50)                     (16,115.60)
AW                     (14,585.99)                     (12,240.53)                       (9,285.85)
(NPV/ PVAF)
So, based on AW analysis, Machine C should be selected as its annual cost is the lowest.
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