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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 $...?

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