Question 10.P.7: Consider the replacement situation indicated in Table 10-6. ......

Consider the replacement situation indicated in Table 10-6. If estimates beyond 8 years are unreliable and if the MARR is 15%, decide whether it is expedient to replace the current equipment.

Table 10-6
Salvage Value Original Cost Annual Cost Services Life
Now End of Life
Current Equipment $8000 $1000 $17 000 $3600 8 more years
Replacement Candidate 0 6000 19 000 800 15 years
Step-by-Step
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The study period is limited by the current equipment and the forecast horizon to 8 years.

EUAC_{\text{current}}(8) = ($8000 – $1000) (A/P, 15%, 8) + (0.15)($1000) + $3600 = $5310

For the replacement candidate, the present-worth cost is given by

PW_{\text{replacement}} = $19 000 + $800(P/A, 15%, 15) – $6000(P/F, 15%, 15) = $22 940

Annualizing over the 8-year period,

EUAC_{\text{replacement}}(8) = $22.940(A/P, 15%, 8) = $5112

Replace the current equipment.

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