Question
11 and 12
lation for the next 2 questions. Please use the following information for the next se between two machines that do the same j
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Answer #1

We can use the present value of annuity formula (PVA) to find the equivalent annual cost:

|(1+i) -1 PVA= A i(1+i)n

Where,

A = is the annual maintenance cost

i = discounting rate

n = number of periods

11.

[(1 + 0.1) - 1 PV A= 12000 (0.1(1 + 0.1)4

= 12000 0.4641 0.14641

= 12000 3.169866

= 38038.39

d. $38,038.39

12.

Same formula;

[(1 + 0.1)5 - 1 PVA= 9000 [ 0.1(1+0.195

「0.61051 = 9000 0.161051

= 9000 3.790787

=34117.08

a. $34,117.08

Another way to do it: (Tabular Method)

You can chose any method.

Year 1 Year 2 Machine A Annual Costs Discount Factor @ 10% Discounted Annual Cost 12000 0.9091 10,909.09 12000 0.8264 9,917.3

Discount Factor = 7 (1+i)n

i = rate of discounting

n = number of periods

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