In: Economics
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=
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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