Question

7) (15 points) A new machine costs $25,000 and has the estimated maximum (physical) life of 5 years. It also has the estimated salvage (market) value (S) and operating and maintenance costs (O&M) in each of the 5 years of use as shown below: Year n Sn O&M, EACH MCA $25,000 $16,000 $5,000 $16,000 $16,000 $13,000 $8,000 $14,212 $12,280 $11,000 $11,000 $14,159 $14,040 $10,000 $14,000 $14,541 $15,880 $9,500 $17,000 $15,181 $18,300 Suppose the MARR is 8%. The EACn for keeping the machine n years and the marginal cost MC, of keeping the machine 1 more year during year n can be computed as shown above a) Verify that the EAC for keeping the machine 2 years is indeed $14,212, and the marginal cost of keeping it 1 more year during year 4 is $15,880 as shown. b) What is the economic life of this new machine and what is the corresponding EAC? c) If the machine has been used for 2 years and if there is a new machine which can do a similar job with the EAC at its economic useful life being $16,500, when should the defender be replaced? Assume that the machine (old or new) will be needed for a long time. d) Suppose there is no technological change and the candidate for the challenger is exactly the same model as the defender (except it is new of course). Suppose also that the defender has been used for two years and the machine (old or new) will be needed for a long (infinite) time. Determine if and when the defender should be replaced using the PW method. First state why we need to consider only 4 mutually exclusive options. Answer:.......... Then answer the replacement question by first filling the missing entry in the following table: Option Replace defender Now PW(8%) 2 years from now 3 year from now 177,488 181,633 Thus the defender should be replaced.............year(s) from now.

A new machine costs $25,000 and has the estimated maximum (physical) life of 5 years. It also has the estimated salvage (market) value (S) and operating and maintenance costs (O&M) in each of the 5 years of use as shown below: Year n Sn O&Mn EACn 0 $25,000 1 $16,000 $5,000 $16,000 2 $13,000 $8,000 $14,212 3 $11,000 $11,000 $14,159 4 $10,000 $14,000 $14,541 5 $9,500 $17,000 $15,181 MCn $16,000 $12,280 $14,040 $15,880 $18,300 Suppose the MARR is 8%. The EACn for keeping the machine n years and the marginal cost MCn of keeping the machine 1 more year during year n can be computed as shown above a) Verify that the EAC for keeping the machine 2 years is indeed $14,212, and the marginal cost of keeping it 1 more year during year 4 is $15,880 as shown.

Answer 1

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