1. The example in the previous chapter, National Homebuilders, Inc. evaluated cut-and-finish equipment from vendor A (6-year life) and vendor B (9-year life). The PW analysis used the LCM of 18 years. Consider only the vendor A option now. The cash diagram shows the cash flows for all three life cycles (first cost $-15,000; annual M&O costs $-3500; salvage value $1000). Demonstrate the equivalence at i= 15% of PW over three life cycles and AW over one cycle. In previous example, present worth for vendor A was calculated as PW = $-45,036. cost (A) income year net cash flow 0 -15000 0 -15000 1 -3500 0 -3500 2 -3500 0 -3500 3 -3500 0 -3500 4 -3500 0 -3500 5 -3500 0 -3500 6 -18500 1000 -17500 7 -3500 0 -3500 8 -3500 0 -3500 9 -3500 0 -3500 10 -3500 0 -3500 11 -3500 0 -3500 12 -18500 1000 -17500 13 -3500 0 -3500 14 -3500 0 -3500 15 -3500 0 -3500 16 -3500 0 -3500 17 -3500 0 -3500 18 -3500 1000 -2500 ($45,036.36) annual W ($7,349.32)
1. The example in the previous chapter, National Homebuilders, Inc. evaluated cut-and-finish equipment from vendor A (6-year life) and vendor B (9-year life). The PW analysis used the LCM of 18 years. Consider only the vendor A option now. The cash diagram shows the cash flows for all three life cycles (first cost $-15,000; annual M&O costs $-3500; salvage value $1000). Demonstrate the equivalence at i= 15% of PW over three life cycles and AW over one cycle. In previous example, present worth for vendor A was calculated as PW = $-45,036. cost (A) income year net cash flow 0 -15000 0 -15000 1 -3500 0 -3500 2 -3500 0 -3500 3 -3500 0 -3500 4 -3500 0 -3500 5 -3500 0 -3500 6 -18500 1000 -17500 7 -3500 0 -3500 8 -3500 0 -3500 9 -3500 0 -3500 10 -3500 0 -3500 11 -3500 0 -3500 12 -18500 1000 -17500 13 -3500 0 -3500 14 -3500 0 -3500 15 -3500 0 -3500 16 -3500 0 -3500 17 -3500 0 -3500 18 -3500 1000 -2500 ($45,036.36) annual W ($7,349.32)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question

Transcribed Image Text:1. The example in the previous chapter, National Homebuilders, Inc. evaluated cut-and-finish
equipment from vendor A (6-year life) and vendor B (9-year life). The PW analysis used the
LCM of 18 years. Consider only the vendor A option now. The cash diagram shows the cash
flows for all three life cycles (first cost $-15,000; annual M&O costs $-3500; salvage value
$1000). Demonstrate the equivalence at i= 15% of PW over three life cycles and AW over
one cycle. In previous example, present worth for vendor A was calculated as PW = $-45,036.
cost (A) income
year
net cash flow
0
-15000
0
-15000
1
-3500
0
-3500
2
-3500
0
-3500
3
-3500
0
-3500
4
-3500
0
-3500
5
-3500
0
-3500
6
-18500
1000
-17500
7
-3500
0
-3500
8
-3500
0
-3500
9
-3500
0
-3500
10
-3500
0
-3500
11
-3500
0
-3500
12
-18500
1000
-17500
13
-3500
0
-3500
14
-3500
0
-3500
15
-3500
0
-3500
16
-3500
0
-3500
17
-3500
0
-3500
18
-3500
1000
-2500
($45,036.36) annual W
($7,349.32)
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