Question
Your company is environmentally conscious and is considering two heating options for a new research building.What you know about each option is below, and your
Your company is environmentally conscious and is considering two heating options for a new research building.What you know about each option is below, and your company will use an annual interest rate (MARR) of 5%for this decision. Which is the lower cost option for the company?Gas HeatingOption:The initial equipment and installment of the natural gas system would cost $240,000 right now. The maintenance costs of the equipment are expected to be $3,000 per year, starting next year, for each of the next 15years.The energy cost is expected to be $7,000 starting next year and is expected to rise by 3% per year for each of the next 15 years due to the price of natural gas increasing.Geothermal HeatingOption Because of green energy incentives provided by the government, the geothermal equipment and installation are expected to cost only $215,000 right now, which is cheaper than the gas lines.There would be no energy cost with geothermal, but because this is a relatively newer technology the maintenance is expected to be $12,000 per year, staring next year, for each of the next 15 years.
i=3% | ||||||||||
1 | 1.0300 | 0.9709 | 1.0000 | 0.9709 | 1.0000 | 1.0300 | 0.0000 | 0.0000 | ||
---|---|---|---|---|---|---|---|---|---|---|
2 | 1.0609 | 0.9426 | 2.0300 | 1.9135 | 0.4926 | 0.5226 | 0.9426 | 0.4926 | ||
3 | 1.0927 | 0.9151 | 3.0909 | 2.8286 | 0.3235 | 0.3535 | 2.7729 | 0.9803 | ||
4 | 1.1255 | 0.8885 | 4.1836 | 3.7171 | 0.2390 | 0.2690 | 5.4383 | 1.4631 | ||
5 | 1.1593 | 0.8626 | 5.3091 | 4.5797 | 0.1884 | 0.2184 | 8.8888 | 1.9409 | ||
6 | 1.1941 | 0.8375 | 6.4684 | 5.4172 | 0.1546 | 0.1846 | 13.0762 | 2.4138 | ||
7 | 1.2299 | 0.8131 | 7.6625 | 6.2303 | 0.1305 | 0.1605 | 17.9547 | 2.8819 | ||
8 | 1.2668 | 0.7894 | 8.8923 | 7.0197 | 0.1125 | 0.1425 | 23.4806 | 3.3450 | ||
9 | 1.3048 | 0.7664 | 10.1591 | 7.7861 | 0.0984 | 0.1284 | 29.6119 | 3.8032 | ||
10 | 1.3439 | 0.7441 | 11.4639 | 8.5302 | 0.0872 | 0.1172 | 36.3088 | 4.2565 | ||
11 | 1.3842 | 0.7224 | 12.8078 | 9.2526 | 0.0781 | 0.1081 | 43.5330 | 4.7049 | ||
12 | 1.4258 | 0.7014 | 14.1920 | 9.9540 | 0.0705 | 0.1005 | 51.2482 | 5.1485 | ||
13 | 1.4685 | 0.6810 | 15.6178 | 10.6350 | 0.0640 | 0.0940 | 59.4196 | 5.5872 | ||
14 | 1.5126 | 0.6611 | 17.0863 | 11.2961 | 0.0585 | 0.0885 | 68.0141 | 6.0210 | ||
15 | 1.5580 | 0.6419 | 18.5989 | 11.9379 | 0.0538 | 0.0838 | 77.0002 | 6.4500 | ||
16 | 1.6047 | 0.6232 | 20.1569 | 12.5611 | 0.0496 | 0.0796 | 86.3477 | 6.8742 | ||
17 | 1.6528 | 0.6050 | 21.7616 | 13.1661 | 0.0460 | 0.0760 | 96.0280 | 7.2936 | ||
18 | 1.7024 | 0.5874 | 23.4144 | 13.7535 | 0.0427 | 0.0727 | 106.0137 | 7.7081 | ||
19 | 1.7535 | 0.5703 | 25.1169 | 14.3238 | 0.0398 | 0.0698 | 116.2788 | 8.1179 | ||
20 | 1.8061 | 0.5537 | 26.8704 | 14.8775 | 0.0372 | 0.0672 | 126.7987 | 8.5229 |
I=5%
0.0000
0.0000
2
1.1025
0.9070
2.0500
1.8594
0.4878
0.5378
0.9070
0.4878
3
1.1576
0.8638
3.1525
2.7232
0.3172
0.3672
2.6347
0.9675
4
1.2155
0.8227
4.3101
3.5460
0.2320
0.2820
5.1028
1.4391
5
1.2763
0.7835
5.5256
4.3295
0.1810
0.2310
8.2369
1.9025
6
1.3401
0.7462
6.8019
5.0757
0.1470
0.1970
11.9680
2.3579
7
1.4071
0.7107
8.1420
5.7864
0.1228
0.1728
16.2321
2.8052
8
1.4775
0.6768
9.5491
6.4632
0.1047
0.1547
20.9700
3.2445
9
1.5513
0.6446
11.0266
7.1078
0.0907
0.1407
26.1268
3.6758
10
1.6289
0.6139
12.5779
7.7217
0.0795
0.1295
31.6520
4.0991
11
1.7103
0.5847
14.2068
8.3064
0.0704
0.1204
37.4988
4.5144
12
1.7959
0.5568
15.9171
8.8633
0.0628
0.1128
43.6241
4.9219
13
1.8856
0.5303
17.7130
9.3936
0.0565
0.1065
49.9879
5.3215
14
1.9799
0.5051
19.5986
9.8986
0.0510
0.1010
56.5538
5.7133
15
2.0789
0.4810
21.5786
10.3797
0.0463
0.0963
63.2880
6.0973
16
2.1829
0.4581
23.6575
10.8378
0.0423
0.0923
70.1597
6.4736
17
2.2920
0.4363
25.8404
11.2741
0.0387
0.0887
77.1405
6.8423
18
2.4066
0.4155
28.1324
11.6896
0.0355
0.0855
84.2043
7.2034
19
2.5270
0.3957
30.5390
12.0853
0.0327
0.0827
91.3275
7.5569
20
2.6533
0.3769
33.0660
12.4622
0.0302
0.0802
98.4884
7.9030
The PW of the Gas Heating Option is $...?
The PW of the Geothermal Heating Option is $...?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started