Answer 2
PArt1:
WE will calculate the equivalent annual cost for each machine.
EAC = (initial costs/annuity factor)+ annual maintainance
annuity factor = [1-(1/(1+r)^n]/r
where:r=Cost of capitalt=Number of periods
annuity factor for machine A =
r = 15% , n =2
=[1-(1/1.15)^2]/0.15 = 1.625
EAC of machine A =
initial cost = 50 , annual maintainance = 70
EAC = 50/1.625+70
= 100.76
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annuity factor for machine B
r = 15% , n =3
annuity factor = =[1-(1/1.15)^3/0.15 = 2.28
initial cost = 90 , annual maintainance = 40
EAC = 90/2.28 + 40
= 79.42
Option B
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Answer 2
We have standardized the annual cost and in capital budgeting , cost is the only issue. Hence machine B should be selected as it has an EAC which is $21.34 lower than machine A.
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Answer 3
inflation = 5%
new rental = 79.42*(1.05)^3
= $91.94
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