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Question 4 A special-purpose machine is to be purchased at a cost of $15,000. The following table shows the expected annual o

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Answer #1

i = 10%

Economic service 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+15000 G H=G*B I=F-H J K = I*J
1 0.90909 2500.00 2272.73 2272.73 17272.73 12800.00 11636.36 5636.36 1.10000 6200.00
2 0.82645 3200.00 2644.63 4917.36 19917.36 8100.00 6694.21 13223.14 0.57619 7619.05
3 0.75131 5300.00 3981.97 8899.32 23899.32 5300.00 3981.97 19917.36 0.40211 8009.06
4 0.68301 6500.00 4439.59 13338.91 28338.91 3500.00 2390.55 25948.36 0.31547 8185.95
5 0.62092 7800.00 4843.19 18182.10 33182.10 0.00 0.00 33182.10 0.26380 8753.35
Discount factor 1/(1+0.1)^n
(A/P,i,n) i((1 + i)^n)/((1 + i)^n-1)

As EUAC is lowest in yr 1, minimum EUAC = 6200

Economic service life = 1 yr

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