Question

In: Economics

An equipment cost $80,000 initially. The market value has been declining at the rate of $15,000...

An equipment cost $80,000 initially. The market value has been declining at the rate of $15,000 yearly. The O & M (Operating & Maintenance) costs in year 1 were $10,000 and have been increasing by $2,000 from year 2. Determine the minimum cost life of this equipment for a MARR of 10%. (A) 2 years (B) 1 Year (C) 4 Years (D) 5 Years

Solutions

Expert Solution

Using excel for economic life analysis

Year Discount factor O&M cost PV (O&M) Cumulative (O&M) Cumulative (O&M) + Initial Cost Salvage value PV (Salvage value) NPV (A/P,10%,n) EUAC
A B C D=C*B E F=E+80000 G H=G*B I=F-H J K = I*J
1 0.90909 10000.00 9090.91 9090.91 89090.91 65000.00 59090.91 30000.00 1.10000 33000.00
2 0.82645 12000.00 9917.36 19008.26 99008.26 50000.00 41322.31 57685.95 0.57619 33238.10
3 0.75131 14000.00 10518.41 29526.67 109526.67 35000.00 26296.02 83230.65 0.40211 33468.28
4 0.68301 16000.00 10928.22 40454.89 120454.89 20000.00 13660.27 106794.62 0.31547 33690.58
5 0.62092 18000.00 11176.58 51631.47 131631.47 5000.00 3104.61 128526.86 0.26380 33905.06
Discount factor 1/(1+0.1)^n
(A/P,i,n) i((1 + i)^n)/((1 + i)^n-1)

Minimum EUAC is 33000 at 1 yrs

so economic life is 1 yr


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