Question




5-31 Teléfono Mexico is expanding its facilities to serve a new manufacturing plant. The new plant will
require 2000 telephone lines this year, and another 2000 lines after expansion in 10 years. The plant will operate for 30 yea
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Answer #1

a.

NPW of option 1 = -20000 - 1500 * (P/A, 10%,30)

= -20000 - 1500 * 9.426914

= -34140.37

NPW of option 2 = -15000 - 15000 * (P/F, 10%,10) - 1000 * (P/A, 10%,30) - 1000 * (P/A, 10%,20) * (P/F, 10%,10)

= -15000 - 15000 * 0.385543 - 1000 * 9.426914 - 1000 * 8.513564 * 0.385543

= -33492.41

As the present cost of option 2 is less it should be selected

b.

When demand for additional lines occur in 5 yrs

NPW of option 2 = -15000 - 15000 * (P/F, 10%,5) - 1000 * (P/A, 10%,30) - 1000 * (P/A, 10%,25) * (P/F, 10%,5)

= -15000 - 15000 * 0.620921 - 1000 * 9.426914 - 1000 * 9.077040 * 0.620921

= -39376.86

As the present cost of option 1 is less it should be selected in this case

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