A city government is considering two types of town-dump sanitary systems. Design A requires an initial outlay of $354,000 with annual operating and maintenance costs of $45,000 for the next 16 years: design B calls for an investment of $277,000 with annual operating and maintenance co year for the next 16 years. Fee collections from the residents would again be $90,000 per year. The interest rate is 11%, and no salvage value is associated with either system. Click the icon to view the interest factors t discrete compounding when i 11% per year.
A city government is considering two types of town-dump sanitary systems. Design A requires an initial outlay of $354,000 with annual operating and maintenance costs of $45,000 for the next 16 years: design B calls for an investment of $277,000 with annual operating and maintenance co year for the next 16 years. Fee collections from the residents would again be $90,000 per year. The interest rate is 11%, and no salvage value is associated with either system. Click the icon to view the interest factors t discrete compounding when i 11% per year.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![A city government is considering two types of town-dump sanitary systems. Design A requires an initial outlay of $354,000 with annual operating and maintenance costs of $45,000 for the next 16 years; design B calls for an investment of $277,000 with annual operating and maintenance costs of $67,000 per
year for the next 16 years. Fee collections from the residents would again be $90,000 per year. The interest rate is 11%, and no salvage value is associated with either system.
Click the icon to view the interest factors for discrete compounding when /= 11% per year.
(a) Using the benefit-cost ratio BC(), which system should be selected?
The PIA - B is 2.11. (Round to two decimal places.)
Which system should be selected? Choose the correct answer below.
O
Design B
Design A
I
(b) If a new design (design C), which requires an initial outlay of $335,500 and annual operating and maintenance costs of $56,000, is proposed, would your answer in part (a) change?
The PIA -c is 4.39. (Round to two decimal places.)
The PIC-a is- (Round to two decimal places.)
More Info
N
11
12
13
14
15
16
17
18
19
20
Single Payment
Compound
Amount
Factor
(F/P, I, N)
3.1518
3.4985
3.8833
4.3104
4.7846
5.3109
5.8951
6.5436
7.2633
8.0623
Present
Worth
Factor
(P/F, I, N)
0.3173
0.2858
0.2575
0.2320
0.2090
0.1883
0.1696
0.1528
0.1377
0.1240
Print
Compound
Amount
Factor
(F/A, I, N)
19.5614
22.7132
26.2116
30.0949
34.4054
39.1899
44.5008
50.3959
56.9395
64.2028
Done
Equal Payment Series
Sinking Present
Fund
Worth
Factor Factor
(A/F, I, N) (P/A, I, N)
6.2065
0.0511
0.0440
6.4924
0.0382
6.7499
0.0332
0.0291
6.9819
7.1909
0.0255
0.0225
0.0198
0.0176
0.0156
- X
7.3792
7.5488
7.7016
7.8393
7.9633](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4426b7b1-79b0-4ab1-907b-219712eafe13%2F790425d0-b9ec-402f-8f88-84926a3e031f%2F92jf42n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A city government is considering two types of town-dump sanitary systems. Design A requires an initial outlay of $354,000 with annual operating and maintenance costs of $45,000 for the next 16 years; design B calls for an investment of $277,000 with annual operating and maintenance costs of $67,000 per
year for the next 16 years. Fee collections from the residents would again be $90,000 per year. The interest rate is 11%, and no salvage value is associated with either system.
Click the icon to view the interest factors for discrete compounding when /= 11% per year.
(a) Using the benefit-cost ratio BC(), which system should be selected?
The PIA - B is 2.11. (Round to two decimal places.)
Which system should be selected? Choose the correct answer below.
O
Design B
Design A
I
(b) If a new design (design C), which requires an initial outlay of $335,500 and annual operating and maintenance costs of $56,000, is proposed, would your answer in part (a) change?
The PIA -c is 4.39. (Round to two decimal places.)
The PIC-a is- (Round to two decimal places.)
More Info
N
11
12
13
14
15
16
17
18
19
20
Single Payment
Compound
Amount
Factor
(F/P, I, N)
3.1518
3.4985
3.8833
4.3104
4.7846
5.3109
5.8951
6.5436
7.2633
8.0623
Present
Worth
Factor
(P/F, I, N)
0.3173
0.2858
0.2575
0.2320
0.2090
0.1883
0.1696
0.1528
0.1377
0.1240
Print
Compound
Amount
Factor
(F/A, I, N)
19.5614
22.7132
26.2116
30.0949
34.4054
39.1899
44.5008
50.3959
56.9395
64.2028
Done
Equal Payment Series
Sinking Present
Fund
Worth
Factor Factor
(A/F, I, N) (P/A, I, N)
6.2065
0.0511
0.0440
6.4924
0.0382
6.7499
0.0332
0.0291
6.9819
7.1909
0.0255
0.0225
0.0198
0.0176
0.0156
- X
7.3792
7.5488
7.7016
7.8393
7.9633
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