20% Single Payments TABLE 22 Discrete Cash Flow: Compound Interest Factors Uniform Series Payments 20% Arithmetic Gradients Present Sinking Compound Worth Fund Capital Compound Recovery n Amount F/P P/F A/F Amount F/A A/P Present Worth ΡΙΑ Gradient Gradient Present Worth Uniform Series P/G A/G 1 1.2000 0.8333 1.00000 1.0000 1.20000 0.8333 2 1.4400 0.6944 0.45455 2.2000 0.65455 1.5278 0.6944 0.4545 3 1.7280 0.5787 0.27473 3.6400 0.47473 2.1065 1.8519 0.8791 4 2.0736 0.4823 0.18629 5.3680 0.38629 2.5887 3.2986 1.2742 5 2.4883 0.4019 0.13438 7.4416 0.33438 2.9906 4.9061 1.6405 6 2.9860 0.3349 0.10071 9.9299 0.30071 3.3255 6.5806 1.9788 7 3.5832 0.2791 0.07742 12.9159 0.27742 3.6046 8.2551 2.2902 8 4.2998 0.2326 0.06061 16.4991 0.26061 3.8372 9.8831 2.5756 9 5.1598 0.1938 0.04808 20.7989 0.24808 4.0310 11.4335 2.8364 10 6.1917 0.1615 0.03852 25.9587 0.23852 4.1925 12.8871 3.0739 11 7.4301 0.1346 0.03110 32.1504 0.23110 4.3271 14.2330 3.2893 12 13 23 8.9161 0.1122 0.02526 39.5805 0.22526 4.4392 15.4667 3.4841 10.6993 0.0935 0.02062 48.4966 0.22062 4.5327 16.5883 3.6597 14 15 45 12.8392 0.0779 0.01689 59.1959 0.21689 4.6106 17.6008 3.8175 15.4070 0.0649 0.01388 72.0351 0.21388 4.6755 18.5095 3.9588 11.7 A mechanical engineer who designs and sells equipment that automates manual labor processes is offering a machine/robot combination that will significantly reduce labor costs associated with manufacturing garage-door opener transmitters. The equipment has a first cost of $170,000, an estimated annual operating cost of $54,000, a maximum useful life of 5 years, and a $20,000 salvage value anytime it is replaced. The existing equipment was purchased 12 years ago for $65,000 and has an annual operating cost of $78,000. At most, the currently owned equipment can be used 2 more years, at which time it will be auctioned off for an expected amount of $6000, less 33% paid to the company handling the auction. The same scenario will occur if the currently owned equipment is replaced now. Determine the defender and challenger estimates of P, n, S, and AOC in conducting a replacement analysis today at an interest rate of 20% per year.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Do Not use excel. Determine the DEFENDER P,n,S and AOC in conucting a replacemetn analysis today at an interset rate of 20% per year. Determine the CHALLENGER P,n,S and AOC in conucting a replacement analysis today at an interset rate of 20% per year. 

20%
Single Payments
TABLE 22 Discrete Cash Flow: Compound Interest Factors
Uniform Series Payments
20%
Arithmetic Gradients
Present
Sinking
Compound
Worth
Fund
Capital
Compound Recovery
n
Amount F/P
P/F
A/F
Amount F/A
A/P
Present
Worth
ΡΙΑ
Gradient
Gradient
Present Worth Uniform Series
P/G
A/G
1
1.2000
0.8333
1.00000
1.0000
1.20000
0.8333
2
1.4400
0.6944
0.45455
2.2000
0.65455
1.5278
0.6944
0.4545
3
1.7280
0.5787
0.27473
3.6400
0.47473
2.1065
1.8519
0.8791
4
2.0736
0.4823
0.18629
5.3680
0.38629
2.5887
3.2986
1.2742
5
2.4883
0.4019
0.13438
7.4416
0.33438
2.9906
4.9061
1.6405
6
2.9860
0.3349
0.10071
9.9299
0.30071
3.3255
6.5806
1.9788
7
3.5832
0.2791
0.07742
12.9159
0.27742
3.6046
8.2551
2.2902
8
4.2998
0.2326
0.06061
16.4991
0.26061
3.8372
9.8831
2.5756
9
5.1598
0.1938
0.04808
20.7989
0.24808
4.0310
11.4335
2.8364
10
6.1917
0.1615
0.03852
25.9587
0.23852
4.1925
12.8871
3.0739
11
7.4301
0.1346
0.03110
32.1504
0.23110
4.3271
14.2330
3.2893
12
13
23
8.9161
0.1122
0.02526
39.5805
0.22526
4.4392
15.4667
3.4841
10.6993
0.0935
0.02062
48.4966
0.22062
4.5327
16.5883
3.6597
14
15
45
12.8392
0.0779
0.01689
59.1959
0.21689
4.6106
17.6008
3.8175
15.4070
0.0649
0.01388
72.0351
0.21388
4.6755
18.5095
3.9588
Transcribed Image Text:20% Single Payments TABLE 22 Discrete Cash Flow: Compound Interest Factors Uniform Series Payments 20% Arithmetic Gradients Present Sinking Compound Worth Fund Capital Compound Recovery n Amount F/P P/F A/F Amount F/A A/P Present Worth ΡΙΑ Gradient Gradient Present Worth Uniform Series P/G A/G 1 1.2000 0.8333 1.00000 1.0000 1.20000 0.8333 2 1.4400 0.6944 0.45455 2.2000 0.65455 1.5278 0.6944 0.4545 3 1.7280 0.5787 0.27473 3.6400 0.47473 2.1065 1.8519 0.8791 4 2.0736 0.4823 0.18629 5.3680 0.38629 2.5887 3.2986 1.2742 5 2.4883 0.4019 0.13438 7.4416 0.33438 2.9906 4.9061 1.6405 6 2.9860 0.3349 0.10071 9.9299 0.30071 3.3255 6.5806 1.9788 7 3.5832 0.2791 0.07742 12.9159 0.27742 3.6046 8.2551 2.2902 8 4.2998 0.2326 0.06061 16.4991 0.26061 3.8372 9.8831 2.5756 9 5.1598 0.1938 0.04808 20.7989 0.24808 4.0310 11.4335 2.8364 10 6.1917 0.1615 0.03852 25.9587 0.23852 4.1925 12.8871 3.0739 11 7.4301 0.1346 0.03110 32.1504 0.23110 4.3271 14.2330 3.2893 12 13 23 8.9161 0.1122 0.02526 39.5805 0.22526 4.4392 15.4667 3.4841 10.6993 0.0935 0.02062 48.4966 0.22062 4.5327 16.5883 3.6597 14 15 45 12.8392 0.0779 0.01689 59.1959 0.21689 4.6106 17.6008 3.8175 15.4070 0.0649 0.01388 72.0351 0.21388 4.6755 18.5095 3.9588
11.7
A mechanical engineer who designs and sells equipment that automates manual labor processes is offering a machine/robot
combination that will significantly reduce labor costs associated with manufacturing garage-door opener transmitters. The
equipment has a first cost of $170,000, an estimated annual operating cost of $54,000, a maximum useful life of 5 years, and a
$20,000 salvage value anytime it is replaced. The existing equipment was purchased 12 years ago for $65,000 and has an annual
operating cost of $78,000. At most, the currently owned equipment can be used 2 more years, at which time it will be auctioned off
for an expected amount of $6000, less 33% paid to the company handling the auction. The same scenario will occur if the currently
owned equipment is replaced now. Determine the defender and challenger estimates of P, n, S, and AOC in conducting a
replacement analysis today at an interest rate of 20% per year.
Transcribed Image Text:11.7 A mechanical engineer who designs and sells equipment that automates manual labor processes is offering a machine/robot combination that will significantly reduce labor costs associated with manufacturing garage-door opener transmitters. The equipment has a first cost of $170,000, an estimated annual operating cost of $54,000, a maximum useful life of 5 years, and a $20,000 salvage value anytime it is replaced. The existing equipment was purchased 12 years ago for $65,000 and has an annual operating cost of $78,000. At most, the currently owned equipment can be used 2 more years, at which time it will be auctioned off for an expected amount of $6000, less 33% paid to the company handling the auction. The same scenario will occur if the currently owned equipment is replaced now. Determine the defender and challenger estimates of P, n, S, and AOC in conducting a replacement analysis today at an interest rate of 20% per year.
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