EGR 270 Problems 38 and 40 PDF

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Catherine Ward Section 270-008 HW #12 T=rand(300,3) T = 300×3 0.4716 0.5430 0.0597 0.6580 0.8896 0.1096 0.4378 0.2802 0.9852 0.6088

0.3796 0.3191 0.9861 0.7182 0.4132 0.0986 0.7346 0.6373 0.0738 0.1205

0.5470 0.4030 0.1070 0.7242 0.6137 0.7830 0.5666 0.8113 0.5768 0.9440

array2table(T,'variableNames',{'x','y','z'}) ans = 300×3 table x

y

z

1

0.4716

0.3796

0.5470

2

0.5430

0.3191

0.4030

3

0.0597

0.9861

0.1070

4

0.6580

0.7182

0.7242

5

0.8896

0.4132

0.6137

6

0.1096

0.0986

0.7830

7

0.4378

0.7346

0.5666

8

0.2802

0.6373

0.8113

9

0.9852

0.0738

0.5768

10

0.6088

0.1205

0.9440

11

0.2537

0.9816

0.8715

12

0.1326

0.4968

0.5076

13

0.5450

0.0224

0.7888

14

0.8278

0.0538

0.4730

15

0.8370

0.1409

0.8288

16

0.8333

0.8935

0.3225

17

0.2037

0.4658

0.9761

18

0.5444

0.5609

0.2782

19

0.8749

0.4945

0.0728

1

x

y

z

20

0.1210

0.0678

0.7512

21

0.8564

0.8976

0.8312

22

0.8998

0.2886

0.9223

23

0.2179

0.2690

0.3270

24

0.0770

0.5942

0.8041

25

0.4742

0.4759

0.5383

26

0.8350

0.3683

0.4633

27

0.4694

0.6556

0.8208

28

0.4138

0.9382

0.9519

29

0.5027

0.6204

0.0763

30

0.1254

0.2828

0.7087

31

0.1323

0.2052

0.2349

32

0.8705

0.4391

0.3989

33

0.6030

0.0273

0.2681

34

0.2653

0.8762

0.8325

35

0.8648

0.6101

0.9954

36

0.0581

0.2036

0.6498

37

0.4578

0.5199

0.7040

38

0.7222

0.0538

0.9323

39

0.3390

0.8622

0.6877

40

0.4012

0.4429

0.5684

41

0.5270

0.5480

0.3808

42

0.8942

0.5669

0.6346

43

0.7784

0.6804

0.3632

44

0.0694

0.3714

0.4076

45

0.2788

0.0782

0.3687

46

0.3794

0.4564

0.4684

47

0.8647

0.0478

0.5034

48

0.4200

0.7383

0.9105

49

0.2399

0.0380

0.2064

50

0.5977

0.9542

0.3386

51

0.4794

0.7424

0.5741

52

0.8985

0.9374

0.4869

53

0.9347

0.5134

0.2622

2

x

y

z

54

0.8179

0.2409

0.5796

55

0.7089

0.2600

0.8783

56

0.7432

0.7590

0.0610

57

0.8997

0.9933

0.4409

58

0.0652

0.3567

0.0843

59

0.3359

0.7529

0.5632

60

0.0043

0.1100

0.5393

61

0.8281

0.5970

0.7681

62

0.5074

0.4306

0.2331

63

0.3662

0.7307

0.5874

64

0.2266

0.2612

0.4590

65

0.5348

0.0948

0.8610

66

0.2895

0.4510

0.6608

67

0.0684

0.6401

0.3539

68

0.0850

0.1320

0.3472

69

0.0683

0.4528

0.2537

70

0.4098

0.6522

0.9525

71

0.1234

0.8270

0.2982

72

0.4430

0.3081

0.1584

73

0.8989

0.4024

0.3613

74

0.3536

0.8842

0.7416

75

0.1202

0.7006

0.7059

76

0.5691

0.2419

0.7009

77

0.8750

0.7598

0.0062

78

0.3486

0.2909

0.3743

79

0.0419

0.2774

0.9015

80

0.1423

0.0061

0.3183

81

0.0766

0.3747

0.5971

82

0.7405

0.4369

0.2978

83

0.4565

0.3043

0.1250

84

0.6682

0.2909

0.3884

85

0.6992

0.2425

0.8177

86

0.5714

0.9367

0.9812

87

0.6287

0.8602

0.8620

3

x

y

z

88

0.8778

0.3972

0.0838

89

0.6624

0.4794

0.3377

90

0.8754

0.5650

0.2361

91

0.4675

0.4896

0.3178

92

0.1413

0.2698

0.9844

93

0.0681

0.9897

0.5483

94

0.7142

0.1837

0.7493

95

0.3080

0.8617

0.8419

96

0.6712

0.0326

0.1669

97

0.6524

0.3320

0.9031

98

0.5310

0.7487

0.1051

99

0.7151

0.6444

0.7451

100

0.5048

0.1692

0.7294

Problem #38 unit_cost=[7,3,2;3,1,3;9,4,5;2,5,4;6,2,1] unit_cost = 5×3 7 3 3 1 9 4 2 5 6 2

2 3 5 4 1

quarterly_volume=[16,14,10,12;12,15,11,13;8,9,7,11;14,13,15,17;13,16,12,18] quarterly_volume = 5×4 16 14 10 12 12 15 11 13 8 9 7 11 14 13 15 17 13 16 12 18

quarterly_cost=unit_cost'*quarterly_volume quarterly_cost 326 346 188 190 177 186

= 3×4 268 364 168 214 160 204

The quarterly cost for Materials (1), Labor (2), and Transportation (3) are listed in the table below array2table(quarterly_cost,'VariableNames',{'Q1','Q2','Q3','Q4'}) ans = 3×4 table

4

Q1

Q2

Q3

Q4

1

326

346

268

364

2

188

190

168

214

3

177

186

160

204

The Total Costs for the year for Mterials, Labor, and Transportation are shown in the table below yearly_cost=sum(quarterly_cost') yearly_cost = 1×3 1304

760

727

array2table(yearly_cost,'VariableNames',{'Materials','Labor','Transportation'}) ans = 1×3 table Materials 1

Labor

1304

Transportation

760

727

Problem #40 unit_costs=[6,2,2;2,5,4;4,3,2;9,7,3] unit_costs 6 2 4 9

= 4×3 2 2 5 4 3 2 7 3

quarterly_costs=unit_costs'*quarterly_production quarterly_costs = 3×4 178 162 241 179 138 117 172 112 94 84 109 79

quarterly_production=[10,12,13,15;8,7,6,4;12,10,13,9;6,4,11,5] quarterly_production = 4×4 10 12 13 15 8 7 6 4 12 10 13 9 6 4 11 5

array2table(unit_costs,'VariableNames',{'Materials','Labor','Transportation'}) ans = 4×3 table Materials

Labor

Transportation

1

6

2

2

2

2

5

4

3

4

3

2

4

9

7

3

array2table(quarterly_production,'VariableNames',{'Q1','Q2','Q3','Q4'}) 5

ans = 4×4 table Q1

Q2

Q3

Q4

1

10

12

13

15

2

8

7

6

4

3

12

10

13

9

4

6

4

11

5

array2table(quarterly_costs,'VariableNames',{'Q1','Q2','Q3','Q4'}) ans = 3×4 table Q1

Q2

Q3

Q4

1

178

162

241

179

2

138

117

172

112

3

94

84

109

79

6...