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LAMPIRAN

KUESIONER PENELITIAN

Terima kasih atas partisipasi anda menjadi responden dan secara sukarela

mengisi kuesioner penelitian ini. Pada saat ini saya:

Nama

: Charles H Simamora

NIM

: 080803024

Program Studi

: S-1 Matematika

sedang melakukan penelitian dengan judul:

Studi Kasus Teori Permainan dalam Strategi Pemasaran Produk Ban Sepeda Motor di

FMIPA USU.

Saya sangat menghargai kejujuran anda dalam mengisi kuesioner ini. Hasil

kuesioner penelitian ini akan digunakan untuk menyelesaikan tugas akhir saya (tujuan

penelitian) dan bukan tujuan komersial.

Nama

:

NIM

:

Jenis kelamin

: Laki-laki / Perempuan

Usia

:

(2)

Panduan Pengisian Kuesioner.

1.

Bandingkanlah setiap strategi pada pemain 1 dengan setiap strategi pada

pemain 2.

Tabel

Pemain 1

Pemain 2

1

IRC

Federal

2

IRC

Swallow

3

Federal

Swallow

2.

Berilah tanda centang (

) pada salah satu kolom keputusan untuk

(3)

Tabel 1

No.

Strategi

Keputusan

IRC

Federal

IRC

Federal

1.

Harga

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

2.

Motif

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

3.

Kualitas

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

4.

Jenis Ban

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

5.

Ketersediaan

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

6.

Promosi Iklan

(4)

Tabel 2

No.

Strategi

Keputusan

IRC

Swallow

IRC

Swallow

1.

Harga

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

2.

Motif

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

3.

Kualitas

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

4.

Jenis Ban

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

5.

Ketersediaan

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

6.

Promosi Iklan

(5)

Tabel 3

No.

Strategi

Keputusan

Federal

Swallow

Federal

Swallow

1.

Harga

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

2.

Motif

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

3.

Kualitas

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

4.

Jenis Ban

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

5.

Ketersediaan

Harga

Motif

Kualitas

Jenis Ban

Ketersediaan

Promosi iklan

6.

Promosi Iklan

(6)

Hasil Kuesioner Pendahuluan

No.

Strategi

Keputusan

IRC

Federal

IRC

Federal

5.

Ketersediaan

(7)

No.

Strategi

Keputusan

IRC

Swallow

IRC

Swallow

1.

Harga

Harga

1

9

Motif

5

5

Kualitas

8

2

Jenis Ban

5

5

Ketersediaan

3

7

Promosi iklan

3

7

2.

Motif

Harga

6

4

Motif

7

3

Kualitas

7

3

Jenis Ban

6

4

Ketersediaan

3

7

Promosi iklan

4

6

3.

Kualitas

Harga

8

2

Motif

8

2

Kualitas

9

1

Jenis Ban

7

3

Ketersediaan

6

2

Promosi iklan

4

6

4.

Jenis Ban

Harga

6

4

Motif

6

4

Kualitas

7

3

Jenis Ban

6

4

Ketersediaan

4

6

Promosi iklan

2

8

5.

Ketersediaan

Harga

4

6

Motif

4

6

Kualitas

6

4

Jenis Ban

5

5

Ketersediaan

3

7

Promosi iklan

2

8

6.

Promosi Iklan

Harga

3

7

Motif

3

7

Kualitas

6

4

Jenis Ban

2

8

Ketersediaan

1

9

(8)

No.

Strategi

Keputusan

Federal

Swallow

Federal

Swallow

1.

Harga

Harga

4

6

Motif

5

5

Kualitas

6

4

Jenis Ban

4

6

Ketersediaan

4

6

Promosi iklan

3

7

2.

Motif

Harga

6

4

Motif

7

3

Kualitas

7

3

Jenis Ban

5

5

Ketersediaan

4

6

Promosi iklan

4

6

3.

Kualitas

Harga

7

3

Motif

6

4

Kualitas

8

2

Jenis Ban

6

4

Ketersediaan

5

5

Promosi iklan

6

4

4.

Jenis Ban

Harga

5

5

Motif

4

6

Kualitas

6

4

Jenis Ban

4

6

Ketersediaan

3

7

Promosi iklan

4

6

5.

Ketersediaan

Harga

3

7

Motif

4

6

Kualitas

6

4

Jenis Ban

3

7

Ketersediaan

2

8

Promosi iklan

3

7

6.

Promosi Iklan

Harga

6

4

Motif

6

4

Kualitas

5

5

Jenis Ban

4

6

Ketersediaan

3

7

(9)

Perolehan IRC Vs Federal

FEDERAL

Harga

Motif

Kualitas

Jenis Ban Ketersediaan

Promosi Iklan

IRC

Harga

2

0

2

4

-2

0

Motif

2

4

4

6

0

-2

Kualitas

4

6

4

2

-2

4

Jenis Ban

0

4

6

2

0

2

Ketersediaan

-2

0

2

-4

-2

-4

Promosi Iklan

-2

0

2

-2

-6

-6

Reliability Statistics

Cronbach's

Alpha

N of

Items

.884

6

Item-Total Statistics

Scale Mean

if Item

Deleted

Scale

Variance if

Item

Deleted

Corrected

Item-Total

Correlation

Cronbach's

Alpha if

Item

Deleted

VAR00001

4.0000

132.800

.803

.851

VAR00002

2.3333

128.667

.792

.850

VAR00003

1.3333

153.067

.686

.878

VAR00004

3.3333

116.267

.664

.880

VAR00005

6.6667

143.467

.671

.871

(10)

Perolehan IRC Vs Swallow

SWALLOW

Harga

Motif

Kualitas

Jenis Ban Ketersediaan

Promosi Iklan

IRC

Harga

-8

0

6

0

-4

-4

Motif

2

4

4

2

-4

-2

Kualitas

6

6

8

4

2

-2

Jenis Ban

2

2

4

2

-2

-6

Ketersediaan

-2

-2

2

0

-4

-6

Promosi Iklan

-4

-4

2

-6

-8

-6

Reliability Statistics

Cronbach's

Alpha

N of

Items

.915

6

Item-Total Statistics

Scale Mean

if Item

Deleted

Scale

Variance if

Item

Deleted

Corrected

Item-Total

Correlation

Cronbach's

Alpha if

Item

Deleted

VAR00001

-2.0000

180.800

.689

.933

VAR00002

-3.6667

186.267

.963

.868

VAR00003

-7.0000

241.200

.716

.911

VAR00004

-3.0000

201.200

.876

.883

VAR00005

.6667

204.267

.897

.881

(11)

Perolehan Federal Vs Swallow

SWALLOW

Harga

Motif

Kualitas

Jenis Ban Ketersediaan

Promosi Iklan

F

EDE

R

AL

Harga

-2

0

2

-2

-2

-4

Motif

2

4

4

0

-2

--2

Kualitas

4

2

6

2

0

2

Jenis Ban

0

-2

2

-2

-4

-2

Ketersediaan

-4

-2

2

-4

-6

-4

Promosi Iklan

2

2

0

-2

-4

-2

Reliability Statistics

Cronbach's

Alpha

N of

Items

.930

6

Item-Total Statistics

Scale Mean

if Item

Deleted

Scale

Variance if

Item

Deleted

Corrected

Item-Total

Correlation

Cronbach's

Alpha if

Item

Deleted

VAR00001

-3.0000

87.600

.857

.913

VAR00002

-3.3333

105.067

.655

.936

VAR00003

-5.3333

109.867

.677

.931

VAR00004

-1.3333

98.667

.988

.895

VAR00005

.3333

103.067

.845

.912

(12)

Hasil Kuesioner Formal

No.

Strategi

Keputusan

IRC

Federal

IRC

Federal

5.

Ketersediaan

(13)

No.

Strategi

Keputusan

IRC

Swallow

IRC

Swallow

1.

Harga

Harga

39

41

Motif

48

32

Kualitas

52

28

Jenis Ban

39

41

Ketersediaan

28

52

Promosi iklan

25

55

2.

Motif

Harga

44

36

Motif

55

25

Kualitas

54

26

Jenis Ban

47

33

Ketersediaan

28

52

Promosi iklan

32

48

3.

Kualitas

Harga

58

22

Motif

53

27

Kualitas

56

24

Jenis Ban

47

33

Ketersediaan

51

29

Promosi iklan

33

47

4.

Jenis Ban

Harga

44

36

Motif

43

37

Kualitas

49

31

Jenis Ban

46

34

Ketersediaan

27

53

Promosi iklan

28

52

5.

Ketersediaan

Harga

39

41

Motif

39

41

Kualitas

41

39

Jenis Ban

42

38

Ketersediaan

33

47

Promosi iklan

25

55

6.

Promosi Iklan

Harga

35

45

Motif

34

46

Kualitas

43

37

Jenis Ban

29

51

Ketersediaan

22

58

(14)

No.

Strategi

Keputusan

Federal

Swallow

Federal

Swallow

1.

Harga

Harga

36

44

Motif

41

39

Kualitas

41

39

Jenis Ban

34

46

Ketersediaan

31

49

Promosi iklan

28

52

2.

Motif

Harga

39

41

Motif

45

35

Kualitas

47

33

Jenis Ban

43

37

Ketersediaan

38

42

Promosi iklan

32

48

3.

Kualitas

Harga

50

30

Motif

45

35

Kualitas

46

34

Jenis Ban

43

37

Ketersediaan

41

39

Promosi iklan

44

36

4.

Jenis Ban

Harga

38

42

Motif

39

41

Kualitas

44

36

Jenis Ban

39

41

Ketersediaan

29

51

Promosi iklan

34

46

5.

Ketersediaan

Harga

35

45

Motif

37

43

Kualitas

42

38

Jenis Ban

38

42

Ketersediaan

33

47

Promosi iklan

32

48

6.

Promosi Iklan

Harga

37

43

Motif

38

42

Kualitas

46

34

Jenis Ban

39

41

Ketersediaan

35

45

(15)

Perolehan IRC Vs Federal

FEDERAL

Harga

Motif

Kualitas

Jenis Ban Ketersediaan Promosi Iklan

IRC

Harga

4

18

30

14

-2

-18

Motif

20

16

26

27

2

12

Kualitas

30

20

16

18

10

4

Jenis Ban

30

24

28

18

-10

8

Ketersediaan

10

8

8

-10

-18

-20

Promosi Iklan

12

6

12

-6

-16

-30

Reliability Statistics

Cronbach's

Alpha

N of

Items

.899

6

Item-Total Statistics

Scale Mean

if Item

Deleted

Scale

Variance if

Item

Deleted

Corrected

Item-Total

Correlation

Cronbach's

Alpha if

Item

Deleted

VAR00001

32.5000

2748.700

.611

.897

VAR00002

34.8333

2863.367

.864

.881

VAR00003

30.1667

2880.967

.601

.899

VAR00004

40.0000

2080.000

.938

.844

VAR00005

55.8333

2652.167

.702

.885

(16)

Perolehan IRC Vs Swallow

SWALLOW

Harga

Motif

Kualitas

Jenis Ban Ketersediaan Promosi Iklan

IRC

Harga

-2

16

24

-2

-24

-30

Motif

8

30

28

14

-24

-16

Kualitas

36

26

32

14

22

-14

Jenis Ban

8

6

18

12

-26

-24

Ketersediaan

-2

-2

2

4

-14

-30

Promosi Iklan

-10

-12

6

-22

-36

-32

Reliability Statistics

Cronbach's

Alpha

N of

Items

.917

6

Item-Total Statistics

Scale Mean

if Item

Deleted

Scale

Variance if

Item

Deleted

Corrected

Item-Total

Correlation

Cronbach's

Alpha if

Item

Deleted

VAR00001

-9.0000

3641.200

.915

.879

VAR00002

-13.3333

3773.867

.814

.895

VAR00003

-21.0000

4274.800

.793

.901

VAR00004

-6.0000

4123.200

.757

.903

VAR00005

14.3333

3563.867

.698

.925

(17)

Perolehan Federal Vs Swallow

SWALLOW

Harga

Motif

Kualitas

Jenis Ban Ketersediaan Promosi Iklan

F

EDE

R

AL

Harga

-8

2

2

-12

-18

-24

Motif

-2

10

14

6

-4

-16

Kualitas

20

10

12

6

2

8

Jenis Ban

-4

-2

8

-2

-22

-12

Ketersediaan

-10

-6

4

-4

-14

-16

Promosi Iklan

-6

-4

12

-2

-10

-36

Reliability Statistics

Cronbach's

Alpha

N of

Items

.878

6

Item-Total Statistics

Scale Mean

if Item

Deleted

Scale

Variance if

Item

Deleted

Corrected

Item-Total

Correlation

Cronbach's

Alpha if

Item

Deleted

VAR00001

-18.0000

1179.200

.891

.817

VAR00002

-21.3333

1513.067

.756

.853

VAR00003

-28.3333

1712.667

.588

.881

VAR00004

-18.3333

1506.267

.798

.849

VAR00005

-8.6667

1378.667

.775

.842

(18)

IRC Vs FEDERAL

(untitled) Solution

Cj VariablesBasic 1 X1 1 X2 1 X3 1 X4 1 X5 1 X6 0 artfcl 1

0 surplus 1

0 artfcl 2

0 surplus 2

0 artfcl 3

0 surplus 3

0 artfcl 4

0 surplus 4

0 artfcl 5

0 surplus 5

0 artfcl 6

0 surplus 6

Quantity

Iteration 1

cj-zj 286. 272. 300. 242. 146. 136. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1.

Iteration 2

cj-zj 116. 32. 0. 22. 6. 76. -5. 4. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1.

1 X3 0.5667 0.8 1. 0.7333 0.4667 0.2 0.0167 -0.0167 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.0167

0 artfcl 2 18.2667 1.2 0. 16.9333 5.8667 30.8

-0.9333 0.9333 1. -1. 0. 0. 0. 0. 0. 0. 0. 0. 0.0667

0 artfcl 3 33.9333 13.2 0. 14.2667 18.5333 24.8

-0.7667 0.7667 0. 0. 1. -1. 0. 0. 0. 0. 0. 0. 0.2333

0 artfcl 4 27.1333 7.6 0. 5.4667 -7.0667 26.4

-0.9667 0.9667 0. 0. 0. 0. 1. -1. 0. 0. 0. 0. 0.0333

0 artfcl 5 18.4667 7.6 0. -7.8667 -5.7333 2.4 0.6333- 0.6333 0. 0. 0. 0. 0. 0. 1. -1. 0. 0. 0.3667

(19)

Iteration 3

cj-zj 0. -0.4914 0. -1.371 36.2113 36.8649- 0.8673- -0.1327 0. -1. 0. -1. 4.2752- 3.2752 0. -1. 0. -1.

1 X3 0. 0.6413 1. 0.6192 0.6143 -0.3514 0.0369 -0.0369 0. 0. 0. 0. 0.0209- 0.0209 0. 0. 0. 0. 0.016

0 artfcl 2 0. -3.9165 0. 13.2531 10.6241 13.027 0.2826- 0.2826 1. -1. 0. 0. 0.6732- 0.6732 0. 0. 0. 0. 0.0442

0 artfcl 3 0. 3.6953 0. 7.43 27.371 -8.2162 0.4423 -0.4423 0. 0. 1. -1.

-1.2506 1.2506 0. 0. 0. 0. 0.1916

1 X1 1. 0.2801 0. 0.2015 -0.2604 0.973

-0.0356 0.0356 0. 0. 0. 0. 0.0369 -0.0369 0. 0. 0. 0. 0.0012

0 artfcl 5 0. 2.4275 0.

-11.5872 -0.9238

-15.5676 0.0246 -0.0246 0. 0. 0. 0.

-0.6806 0.6806 1. -1. 0. 0. 0.344

0 artfcl 6 0. -2.6978 0. 10.4668- -0.86 26.1081- 0.0516- 0.0516 0. 0. 0. 0. 0.6708- 0.6708 0. 0. 1. -1. 0.2776

teration 4

cj-zj 0. 12.8575 0. -46.543 0. 81.2664- 0.0957 -1.0957 3.4084- 2.4084 0. -1. 1.9806- 0.9806 0. -1. 0. -1.

1 X3 0. 0.8677 1. -0.1471 0. -1.1045 0.0532 -0.0532 0.0578- 0.0578 0. 0. 0.018 -0.018 0. 0. 0. 0. 0.0134

1 X5 0. -0.3686 0. 1.2475 1. 1.2262 0.0266- 0.0266 0.0941 -0.0941 0. 0. 0.0634- 0.0634 0. 0. 0. 0. 0.0042

0 artfcl 3 0. 13.7854 0.

-26.7142 0. -41.778 1.1702 -1.1702

-2.5763 2.5763 1. -1. 0.4838 -0.4838 0. 0. 0. 0. 0.0777

1 X1 1. 0.1841 0. 0.5264 0. 1.2923

-0.0426 0.0426 0.0245 -0.0245 0. 0. 0.0204 -0.0204 0. 0. 0. 0. 0.0023

0 artfcl 5 0. 2.087 0.

-10.4348 0.

-14.4348 0. 0. 0.087 -0.087 0. 0.

-0.7391 0.7391 1. -1. 0. 0. 0.3478

(20)

Iteration 5

cj-zj 0. 0. 0. 21.6269- 0. 42.3004- 0.9957- -0.0043 1.0055- 0.0055 0.9327- -0.0673 2.4318- 1.4318 0. -1. 0. -1.

1 X3 0. 0. 1. 1.5344 0. 1.5252 0.0205- 0.0205 0.1043 -0.1043 0.0629- 0.0629 0.0124- 0.0124 0. 0. 0. 0. 0.0085

1 X5 0. 0. 0. 0.5331 1. 0.109 0.0047 -0.0047 0.0252 -0.0252 0.0267 -0.0267 0.0504- 0.0504 0. 0. 0. 0. 0.0062

1 X2 0. 1. 0. -1.9379 0. -3.0306 0.0849 -0.0849

-0.1869 0.1869 0.0725 -0.0725 0.0351 -0.0351 0. 0. 0. 0. 0.0056

1 X1 1. 0. 0. 0.8831 0. 1.8502

-0.0582 0.0582 0.0589 -0.0589

-0.0134 0.0134 0.0139 -0.0139 0. 0. 0. 0. 0.0013

0 artfcl 5 0. 0. 0. -6.3906 0. -8.1101

-0.1772 0.1772 0.477 -0.477 -0.1514 0.1514

-0.8124 0.8124 1. -1. 0. 0. 0.3361

0 artfcl 6 0. 0. 0. 15.2363- 0. 34.1903- 0.1815 -0.1815 0.4825- 0.4825 0.2187 -0.2187 0.6194- 0.6194 0. 0. 1. -1. 0.2982

Iteration 6

cj-zj 0. 0. 0. 36.7625- 28.3925- 45.3945- 1.1291- 0.1291 1.7219- 0.7219 1.6919- 0.6919 -1. 0. 0. -1. 0. -1.

1 X3 0. 0. 1. 1.4032 -0.2462 1.4983 0.0216- 0.0216 0.0981 -0.0981 0.0695- 0.0695 0. 0. 0. 0. 0. 0. 0.007

0 surplus 4 0. 0. 0. 10.5709 19.8297 2.161 0.0931 -0.0931 0.5003 -0.5003 0.5303 -0.5303 -1. 1. 0. 0. 0. 0. 0.1238

1 X2 0. 1. 0. -1.5669 0.6959 -2.9548 0.0882 -0.0882 0.1693- 0.1693 0.0912 -0.0912 0. 0. 0. 0. 0. 0. 0.01

1 X1 1. 0. 0. 1.0299 0.2754 1.8802

-0.0569 0.0569 0.0659 -0.0659 -0.006 0.006 0. 0. 0. 0. 0. 0. 0.003

0 artfcl 5 0. 0. 0. -14.978

-16.1091 -9.8656

-0.2528 0.2528 0.0705 -0.0705

-0.5822 0.5822 0. 0. 1. -1. 0. 0. 0.2355

0 artfcl 6 0. 0. 0.

-21.7844

-12.2834

-35.5289 0.1238 -0.1238 -0.7924 0.7924

(21)

teration 7

cj-zj 0. -4.2633 0. 30.0825- 31.3595- 32.7976- 1.5049- 0.5049 -1. 0. 2.0806- 1.0806 -1. 0. 0. -1. 0. -1.

1 X3 0. 0.5796 1. 0.4951 0.1572 -0.2141 0.0295 -0.0295 0. 0. 0.0167- 0.0167 0. 0. 0. 0. 0. 0. 0.0128

0 surplus 4 0. 2.9548 0. 5.9411 21.8861 -6.5697 0.3536 -0.3536 0. 0. 0.7996 -0.7996 -1. 1. 0. 0. 0. 0. 0.1532

0 surplus 2 0. 5.9057 0. -9.2534 4.11

-17.4499 0.5206 -0.5206 -1. 1. 0.5383 -0.5383 0. 0. 0. 0. 0. 0. 0.0589

1 X1 1. 0.389 0. 0.4204 0.5462 0.7308

-0.0226 0.0226 0. 0. 0.0295 -0.0295 0. 0. 0. 0. 0. 0. 0.0069

0 artfcl 5 0. 0.4165 0.

-15.6306

-15.8193

-11.0963

-0.2161 0.2161 0. 0.

-0.5442 0.5442 0. 0. 1. -1. 0. 0. 0.2397

0 artfcl 6 0. -4.6798 0.

-14.4519

-15.5403

-21.7014

-0.2888 0.2888 0. 0.

-0.5363 0.5363 0. 0. 0. 0. 1. -1. 0.1749

Iteration 8

cj-zj 0. 5.1648 0. -0.967 -0.0513 10.9231 0.9231- -0.0769 -1. 0. -1. 0. -1. 0. 0. -1. 2.0147- 1.0147

1 X3 0. 0.7253 1. 0.9451 0.641 0.4615 0.0385 -0.0385 0. 0. 0. 0. 0. 0. 0. 0. 0.0311- 0.0311 0.0073

0 surplus 4 0. -4.022 0. 15.6044- -1.2821 38.9231- 0.0769- 0.0769 0. 0. 0. 0. -1. 1. 0. 0. 1.4908 -1.4908 0.4139

0 surplus 2 0. 1.2088 0.

-23.7582

-11.4872

-39.2308 0.2308 -0.2308 -1. 1. 0. 0. 0. 0. 0. 0. 1.0037 -1.0037 0.2344

1 X1 1. 0.1319 0. -0.3736 -0.3077 -0.4615

-0.0385 0.0385 0. 0. 0. 0. 0. 0. 0. 0. 0.0549 -0.0549 0.0165

0 artfcl 5 0. 5.1648 0. -0.967 -0.0513 10.9231 0.0769 -0.0769 0. 0. 0. 0. 0. 0. 1. -1.

-1.0147 1.0147 0.0623

(22)

Iteration 9

cj-zj 0. 0. 0. 0. 0. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1. 0.

1 X3 0. 0.507 1. 0.9859 0.6432 0. 0.0352 -0.0352 0. 0. 0. 0. 0. 0. 0.0423- 0.0423 0.0117 -0.0117 0.0047

0 surplus 4 0. 14.3823 0. 19.0503- -1.4648 0. 0.1972 -0.1972 0. 0. 0. 0. -1. 1. 3.5634 -3.5634 2.1247- 2.1247 0.6358

0 surplus 2 0. 19.7586 0. 27.2314- 11.6714- 0. 0.507 -0.507 -1. 1. 0. 0. 0. 0. 3.5915 -3.5915 2.6405- 2.6405 0.4581

1 X1 1. 0.3501 0. -0.4145 -0.3099 0.

-0.0352 0.0352 0. 0. 0. 0. 0. 0. 0.0423 -0.0423 0.0121 -0.0121 0.0191

1 X6 0. 0.4728 0. -0.0885 -0.0047 1. 0.007 -0.007 0. 0. 0. 0. 0. 0. 0.0915 -0.0915

-0.0929 0.0929 0.0057

0 surplus 3 0. 10.4064 0.

-30.5272

-29.1643 0.

-0.2535 0.2535 0. 0. -1. 1. 0. 0. 3.7042 -3.7042 -1.894 1.894 0.5567

Iteration 10

cj-zj 0. 0.33 0. -0.5171 -0.6714 0. 0.007 -0.007 0. 0. 0. 0. 0. 0. 0.0915 -0.0915 0.0691- 0.0691

1 X3 0. 0.507 1. 0.9859 0.6432 0. 0.0352 -0.0352 0. 0. 0. 0. 0. 0. 0.0423- 0.0423 0.0117 -0.0117 0.0047

0 surplus 4 0. 14.3823 0. 19.0503- -1.4648 0. 0.1972 -0.1972 0. 0. 0. 0. -1. 1. 3.5634 -3.5634 2.1247- 2.1247 0.6358

0 surplus 2 0. 19.7586 0. 27.2314- 11.6714- 0. 0.507 -0.507 -1. 1. 0. 0. 0. 0. 3.5915 -3.5915 2.6405- 2.6405 0.4581

1 X1 1. 0.3501 0. -0.4145 -0.3099 0.

-0.0352 0.0352 0. 0. 0. 0. 0. 0. 0.0423 -0.0423 0.0121 -0.0121 0.0191

1 X6 0. 0.4728 0. -0.0885 -0.0047 1. 0.007 -0.007 0. 0. 0. 0. 0. 0. 0.0915 -0.0915

-0.0929 0.0929 0.0057

0 surplus 3 0. 10.4064 0.

-30.5272

-29.1643 0.

-0.2535 0.2535 0. 0. -1. 1. 0. 0. 3.7042 -3.7042 -1.894 1.894 0.5567

(23)

cj-zj 0. 0. -0.6508 -1.1587 -1.0899 0. 0.0159- 0.0159 0. 0. 0. 0. 0. 0. 0.119 -0.119 0.0767- 0.0767

1 X2 0. 1. 1.9722 1.9444 1.2685 0. 0.0694 -0.0694 0. 0. 0. 0. 0. 0. 0.0833- 0.0833 0.0231 -0.0231 0.0093

0 surplus 4 0. 0. 28.3651- 47.0159- -19.709 0. 0.8016- 0.8016 0. 0. 0. 0. -1. 1. 4.7619 -4.7619 2.4577- 2.4577 0.5026

0 surplus 2 0. 0. 38.9683- 65.6508- 36.7355- 0. 0.8651- 0.8651 -1. 1. 0. 0. 0. 0. 5.2381 -5.2381 3.0979- 3.0979 0.2751

1 X1 1. 0. -0.6905 -1.0952 -0.754 0.

-0.0595 0.0595 0. 0. 0. 0. 0. 0. 0.0714 -0.0714 0.004 -0.004 0.0159

1 X6 0. 0. -0.9325 -1.0079 -0.6045 1.

-0.0258 0.0258 0. 0. 0. 0. 0. 0. 0.131 -0.131

-0.1038 0.1038 0.0013

0 surplus 3 0. 0.

-20.5238

-50.7619

-42.3651 0.

-0.9762 0.9762 0. 0. -1. 1. 0. 0. 4.5714 -4.5714

-2.1349 2.1349 0.4603

Iteration 12

cj-zj 0. 0. 0.0382 -0.414 -0.6433 -0.7389 0.0032 -0.0032 0. 0. 0. 0. 0. 0. 0.0223 -0.0223 0. 0.

1 X2 0. 1. 1.7643 1.7197 1.1338 0.2229 0.0637 -0.0637 0. 0. 0. 0. 0. 0. 0.0541- 0.0541 0. 0. 0.0096

0 surplus 4 0. 0. -6.293 23.1592- -5.4013 23.6688- 0.1911- 0.1911 0. 0. 0. 0. -1. 1. 1.6624 -1.6624 0. 0. 0.4713

0 surplus 2 0. 0. 11.1465- 35.5796- 18.7006- 29.8344- 0.0955- 0.0955 -1. 1. 0. 0. 0. 0. 1.3312 -1.3312 0. 0. 0.2357

1 X1 1. 0. -0.7261 -1.1338 -0.7771 0.0382

-0.0605 0.0605 0. 0. 0. 0. 0. 0. 0.0764 -0.0764 0. 0. 0.0159

0 surplus 6 0. 0. -8.9809 -9.707 -5.8217 9.6306

-0.2484 0.2484 0. 0. 0. 0. 0. 0. 1.2611 -1.2611 -1. 1. 0.0127

0 surplus 3 0. 0. -1.3503

-30.0382

-29.9363

-20.5605

-0.4459 0.4459 0. 0. -1. 1. 0. 0. 1.879 -1.879 0. 0. 0.4331

(24)

Iteration 13

cj-zj 0. 0.0217- 0. -0.4513 -0.6679 -0.7437 0.0018 -0.0018 0. 0. 0. 0. 0. 0. 0.0235 -0.0235 0. 0.

1 X3 0. 0.5668 1. 0.9747 0.6426 0.1264 0.0361 -0.0361 0. 0. 0. 0. 0. 0. 0.0307- 0.0307 0. 0. 0.0054

0 surplus 4 0. 3.5668 0. 17.0253- -1.3574 22.8736- 0.0361 -0.0361 0. 0. 0. 0. -1. 1. 1.4693 -1.4693 0. 0. 0.5054

0 surplus 2 0. 6.3177 0.

-24.7148

-11.5379 -28.426 0.3069 -0.3069 -1. 1. 0. 0. 0. 0. 0.9892 -0.9892 0. 0. 0.296

1 X1 1. 0.4116 0. -0.426 -0.3105 0.13

-0.0343 0.0343 0. 0. 0. 0. 0. 0. 0.0542 -0.0542 0. 0. 0.0199

0 surplus 6 0. 5.0903 0. -0.9531 -0.0505 10.7653 0.0758 -0.0758 0. 0. 0. 0. 0. 0. 0.9856 -0.9856 -1. 1. 0.0614

0 surplus 3 0. 0.7653 0. -28.722

-29.0686

-20.3899

(25)

(untitled) Solution

X1 X2 X3 X4 X5 X6 RHS Dual

Minimize 1. 1. 1. 1. 1. 1.

Constraint 1 34. 48. 60. 44. 28. 12. >= 1. -0.0018

Constraint 2 50. 46. 56. 58. 32. 42. >= 1. 0.

Constraint 3 60. 50. 46. 48. 40. 34. >= 1. 0.

Constraint 4 60. 54. 58. 48. 20. 38. >= 1. 0.

Constraint 5 40. 38. 38. 20. 12. 10. >= 1. -0.0235

Constraint 6 42. 36. 42. 24. 14. 0. >= 1. 0.

(26)

IRC Vs SWALLOW

(untitled) Solution

Cj VariablesBasic 1 X1 1 X2 1 X3 1 X4 1 X5 1 X6 0 artfcl 1

0 surplus 1

0 artfcl 2

0 surplus 2

0 artfcl 3

0 surplus 3

0 artfcl 4

0 surplus 4

0 artfcl 5

0 surplus 5

0 artfcl 6

0 surplus 6

Quantity

Iteration 1

cj-zj 254. 280. 326. 236. 114. 70. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1.

Iteration 2

cj-zj

-91.1765

-17.2353 0. -3.7059

-29.5294 -2.7059 0.

-10.1176 -39.1765

-13.4118 1. -1. 0. 0.

-0.8824 0.8824 0. 0. 0. 0. 0. 0. 0.1176

0 artfcl 2

-23.7647 7.6471 0. 2.9412 -42.5882 -0.7059 0. 0. 1. -1.

(27)

-Iteration 3

cj-zj 4.625 48.0625- 0. 15.5625- 7.625 -32.625 0. -1. 4.0313- 3.0313 -1. 0. 0. -1. 0. -1. 0. -1.

0 artfcl 1 -7.25 -9.875 0. -12.875 0.75 -12.75 1. -1. 0.9375- 0.9375 0. 0. 0. 0. 0. 0. 0. 0. 0.0625

0 surplus 3 -25.25 8.125 0. 3.125 -45.25 -0.75 0. 0. 1.0625 -1.0625 -1. 1. 0. 0. 0. 0. 0. 0. 0.0625

1 X3 0.6875 1.0313 1. 0.7813 0.1875 0.3125 0. 0. 0.0156 -0.0156 0. 0. 0. 0. 0. 0. 0. 0. 0.0156

0 artfcl 4 6.875

-13.6875 0. 5.8125 -0.125 -4.875 0. 0.

-0.8437 0.8437 0. 0. 1. -1. 0. 0. 0. 0. 0.1563

0 artfcl 5 7.875 -5.1875 0. 10.3125 14.875 -5.875 0. 0.

-0.5937 0.5937 0. 0. 0. 0. 1. -1. 0. 0. 0.4063

0 artfcl 6 -2.875

-19.3125 0.

-18.8125 -7.875 -9.125 0. 0.

-0.6562 0.6562 0. 0. 0. 0. 0. 0. 1. -1. 0.3438

Iteration 4

cj-zj 0.5882 45.4034- 0. 20.8487- 0. 29.6134- 0. -1. 3.7269- 2.7269 -1. 0. 0. -1. 0.5126- -0.4874 0. -1.

0 artfcl 1 -7.6471 -9.6134 0. -13.395 0. 12.4538- 1. -1. 0.9076- 0.9076 0. 0. 0. 0. 0.0504- 0.0504 0. 0. 0.042

0 surplus 3 -1.2941 -7.6555 0. 34.4958 0. 18.6218- 0. 0. 0.7437- 0.7437 -1. 1. 0. 0. 3.042 -3.042 0. 0. 1.2983

1 X3 0.5882 1.0966 1. 0.6513 0. 0.3866 0. 0. 0.0231 -0.0231 0. 0. 0. 0.

-0.0126 0.0126 0. 0. 0.0105

0 artfcl 4 6.9412

-13.7311 0. 5.8992 0. -4.9244 0. 0.

-0.8487 0.8487 0. 0. 1. -1. 0.0084 -0.0084 0. 0. 0.1597

1 X5 0.5294 -0.3487 0. 0.6933 1. -0.395 0. 0.

-0.0399 0.0399 0. 0. 0. 0. 0.0672 -0.0672 0. 0. 0.0273

(28)

Iteration 5

cj-zj 23.5648 16.5185- 0. 19.3981 0. 7.8056 3.0046- 2.0046 -1. 0. -1. 0. 0. -1. 0.3611- -0.6389 0. -1.

0 surplus 2 -8.4259 10.5926- 0. 14.7593- 0. 13.7222- 1.1019 -1.1019 -1. 1. 0. 0. 0. 0. 0.0556- 0.0556 0. 0. 0.0463

0 surplus 3 4.9722 0.2222 0. 45.4722 0. -8.4167

-0.8194 0.8194 0. 0. -1. 1. 0. 0. 3.0833 -3.0833 0. 0. 1.2639

1 X3 0.3935 0.8519 1. 0.3102 0. 0.0694 0.0255 -0.0255 0. 0. 0. 0. 0. 0.

-0.0139 0.0139 0. 0. 0.0116

0 artfcl 4 14.0926 -4.7407 0. 18.4259 0. 6.7222

-0.9352 0.9352 0. 0. 0. 0. 1. -1. 0.0556 -0.0556 0. 0. 0.1204

1 X5 0.8657 0.0741 0. 1.2824 1. 0.1528 -0.044 0.044 0. 0. 0. 0. 0. 0. 0.0694 -0.0694 0. 0. 0.0255

0 artfcl 6 9.4722 11.7778- 0. 0.9722 0. 1.0833 1.0694- 1.0694 0. 0. 0. 0. 0. 0. 0.5833 -0.5833 1. -1. 0.5139

Iteration 6

cj-zj 0. -8.5913 0. 11.4126- 0. -3.435 1.4409- 0.4409 -1. 0. -1. 0. 1.6721- 0.6721 -0.454 -0.546 0. -1.

0 surplus 2 0. 13.4271- 0. -3.7424 0. -9.703 0.5427 -0.5427 -1. 1. 0. 0. 0.5979 -0.5979 0.0223- 0.0223 0. 0. 0.1183

0 surplus 3 0. 1.8949 0. 38.9711 0. 10.7884- 0.4895- 0.4895 0. 0. -1. 1. 0.3528- 0.3528 3.0637 -3.0637 0. 0. 1.2214

1 X3 0. 0.9842 1. -0.2043 0. -0.1183 0.0516 -0.0516 0. 0. 0. 0.

-0.0279 0.0279

-0.0154 0.0154 0. 0. 0.0082

1 X1 1. -0.3364 0. 1.3075 0. 0.477

-0.0664 0.0664 0. 0. 0. 0. 0.071 -0.071 0.0039 -0.0039 0. 0. 0.0085

1 X5 0. 0.3653 0. 0.1505 1. -0.2602 0.0135 -0.0135 0. 0. 0. 0.

-0.0614 0.0614 0.066 -0.066 0. 0. 0.0181

0 artfcl 6 0. -8.5913 0.

-11.4126 0. -3.435

-0.4409 0.4409 0. 0. 0. 0.

(29)

Iteration 7

cj-zj 0. 12.5882- 0. 13.0588- -10.9412 -0.5882 1.5882- 0.5882 -1. 0. -1. 0. -1. 0. 1.1765- 0.1765 0. -1.

0 surplus 2 0. -9.8717 0. -2.2781 9.7326 12.2353- 0.6738 -0.6738 -1. 1. 0. 0. 0. 0. 0.6203 -0.6203 0. 0. 0.2941

0 surplus 3 0. -0.2032 0. 38.107 -5.7433 -9.2941

-0.5668 0.5668 0. 0. -1. 1. 0. 0. 2.6845 -2.6845 0. 0. 1.1176

1 X3 0. 0.8182 1. -0.2727 -0.4545 0. 0.0455 -0.0455 0. 0. 0. 0. 0. 0.

-0.0455 0.0455 0. 0. 0.

1 X1 1. 0.0856 0. 1.4813 1.1551 0.1765

-0.0508 0.0508 0. 0. 0. 0. 0. 0. 0.0802 -0.0802 0. 0. 0.0294

0 surplus 4 0. 5.9465 0. 2.4492 16.2781 -4.2353 0.2193 -0.2193 0. 0. 0. 0. -1. 1. 1.0749 -1.0749 0. 0. 0.2941

0 artfcl 6 0. 12.5882- 0. 13.0588- -10.9412 -0.5882 0.5882- 0.5882 0. 0. 0. 0. 0. 0. 0.1765- 0.1765 1. -1. 0.2353

Iteration 8

cj-zj 0. 0. 0. 0. 0. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1. 0.

0 surplus 2 0. 24.2909- 0. 17.2364- -2.8 12.9091- 0. 0. -1. 1. 0. 0. 0. 0. 0.4182 -0.4182 1.1455 -1.1455 0.5636

0 surplus 3 0. 11.9273 0. 50.6909 4.8 -8.7273 0. 0. 0. 0. -1. 1. 0. 0. 2.8545 -2.8545 0.9636- 0.9636 0.8909

1 X3 0. -0.1545 1. -1.2818 -1.3 -0.0455 0. 0. 0. 0. 0. 0. 0. 0.

-0.0591 0.0591 0.0773 -0.0773 0.0182

1 X1 1. 1.1727 0. 2.6091 2.1 0.2273 0. 0. 0. 0. 0. 0. 0. 0. 0.0955 -0.0955

-0.0864 0.0864 0.0091

0 surplus 4 0. 1.2545 0. -2.4182 12.2 -4.4545 0. 0. 0. 0. 0. 0. -1. 1. 1.0091 -1.0091 0.3727 -0.3727 0.3818

(30)

Iteration 9

cj-zj 0. 0.0182 0. 0.3273 -0.2 -0.8182 0. 0. 0. 0. 0. 0. 0. 0. 0.0364 -0.0364 0.0091- 0.0091

0 surplus 2 0. 24.2909- 0. 17.2364- -2.8 12.9091- 0. 0. -1. 1. 0. 0. 0. 0. 0.4182 -0.4182 1.1455 -1.1455 0.5636

0 surplus 3 0. 11.9273 0. 50.6909 4.8 -8.7273 0. 0. 0. 0. -1. 1. 0. 0. 2.8545 -2.8545 0.9636- 0.9636 0.8909

1 X3 0. -0.1545 1. -1.2818 -1.3 -0.0455 0. 0. 0. 0. 0. 0. 0. 0.

-0.0591 0.0591 0.0773 -0.0773 0.0182

1 X1 1. 1.1727 0. 2.6091 2.1 0.2273 0. 0. 0. 0. 0. 0. 0. 0. 0.0955 -0.0955

-0.0864 0.0864 0.0091

0 surplus 4 0. 1.2545 0. -2.4182 12.2 -4.4545 0. 0. 0. 0. 0. 0. -1. 1. 1.0091 -1.0091 0.3727 -0.3727 0.3818

0 surplus 1 0. -21.4 0. -22.2 -18.6 -1. -1. 1. 0. 0. 0. 0. 0. 0. -0.3 0.3 1.7 -1.7 0.4

Iteration 10

cj-zj -0.1254 -0.1289 0. 0. -0.4634 -0.8467 0. 0. 0. 0. 0. 0. 0. 0. 0.0244 -0.0244 0.0017 -0.0017

0 surplus 2 6.6063 16.5436- 0. 0. 11.0732 11.4077- 0. 0. -1. 1. 0. 0. 0. 0. 1.0488 -1.0488 0.5749 -0.5749 0.6237

0 surplus 3 19.4286- 10.8571- 0. 0. -36. 13.1429- 0. 0. 0. 0. -1. 1. 0. 0. 1. -1. 0.7143 -0.7143 0.7143

1 X3 0.4913 0.4216 1. 0. -0.2683 0.0662 0. 0. 0. 0. 0. 0. 0. 0. 0.0122- 0.0122 0.0348 -0.0348 0.0226

1 X4 0.3833 0.4495 0. 1. 0.8049 0.0871 0. 0. 0. 0. 0. 0. 0. 0. 0.0366 -0.0366

-0.0331 0.0331 0.0035

0 surplus 4 0.9268 2.3415 0. 0. 14.1463 -4.2439 0. 0. 0. 0. 0. 0. -1. 1. 1.0976 -1.0976 0.2927 -0.2927 0.3902

0 surplus 1 8.5087

(31)

(untitled) Solution

X1 X2 X3 X4 X5 X6 RHS Dual

Minimize 1. 1. 1. 1. 1. 1.

Constraint 1 34. 52. 60. 34. 12. 6. >= 1. 0.

Constraint 2 44. 66. 64. 50. 12. 20. >= 1. 0.

Constraint 3 72. 62. 68. 50. 58. 22. >= 1. 0.

Constraint 4 44. 42. 54. 48. 10. 12. >= 1. 0.

Constraint 5 34. 34. 38. 40. 22. 6. >= 1. -0.0244

Constraint 6 26. 24. 42. 14. 0. 4. >= 1. -0.0017

(32)

FEDERAL Vs SWALLOW

(untitled) Solution

Cj VariablesBasic 1 X1 1 X2 1 X3 1 X4 1 X5 1 X6 0 artfcl 1

0 surplus 1

0 artfcl 2

0 surplus 2

0 artfcl 3

0 surplus 3

0 artfcl 4

0 surplus 4

0 artfcl 5

0 surplus 5

0 artfcl 6

0 surplus 6

Quantity

Iteration 1

cj-zj 206. 226. 268. 208. 150. 120. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1.

Iteration 2

(33)

Iteration 3

cj-zj 0. 22.4315- 0. 18.8288- 28.9247- 12.4247- 0. -1. 4.3836- 3.3836 1.0171- 0.0171 0. -1. 0. -1. 0. -1.

0 artfcl 1 0. 2.8699 0. -8.0753 -6.9932 -5.4932 1. -1. 0.6712- 0.6712 0.0925- 0.0925 0. 0. 0. 0. 0. 0. 0.2363

1 X3 0. 0.8664 1. 0.7911 0.4281 -0.3219 0. 0. 0.0479 -0.0479 0.0291- 0.0291 0. 0. 0. 0. 0. 0. 0.0188

1 X1 1. 0.0788 0. 0.0719 0.3116 1.0616 0. 0.

-0.0411 0.0411 0.0428 -0.0428 0. 0. 0. 0. 0. 0. 0.0017

0 artfcl 4 0. -6.6438 0. -3.1096

-14.8082 4.1918 0. 0.

-0.7945 0.7945 -0.089 0.089 1. -1. 0. 0. 0. 0. 0.1164

0 artfcl 5 0. -6.7055 0. -1.5137 -3.226 5.274 0. 0.

-0.8493 0.8493 0.0514 -0.0514 0. 0. 1. -1. 0. 0. 0.2021

0 artfcl 6 0. 11.9521- 0. -6.1301 -3.8973 16.3973- 0. 0. 1.0685- 1.0685 0.113 -0.113 0. 0. 0. 0. 1. -1. 0.0445

Iteration 4

cj-zj 82.3333- 28.9167- 0. -24.75 54.5833- 99.8333- 0. -1. -1. 0. 4.5417- 3.5417 0. -1. 0. -1. 0. -1.

0 artfcl 1 16.3333- 1.5833 0. -9.25 12.0833- 22.8333- 1. -1. 0. 0. 0.7917- 0.7917 0. 0. 0. 0. 0. 0. 0.2083

1 X3 1.1667 0.9583 1. 0.875 0.7917 0.9167 0. 0. 0. 0. 0.0208 -0.0208 0. 0. 0. 0. 0. 0. 0.0208

0 surplus 2 24.3333 1.9167 0. 1.75 7.5833 25.8333 0. 0. -1. 1. 1.0417 -1.0417 0. 0. 0. 0. 0. 0. 0.0417

0 artfcl 4

-19.3333 -8.1667 0. -4.5

-20.8333

-16.3333 0. 0. 0. 0.

-0.9167 0.9167 1. -1. 0. 0. 0. 0. 0.0833

0 artfcl 5

-20.6667 -8.3333 0. -3. -9.6667

-16.6667 0. 0. 0. 0.

-0.8333 0.8333 0. 0. 1. -1. 0. 0. 0.1667

0 artfcl 6 -26. -14. 0. -8. -12. -44. 0. 0. 0. 0. -1. 1. 0. 0. 0. 0. 1. -1. 0.

(34)

Iteration 5

cj-zj 0. 15.4167 0. 0.5833 16.5833- 39.5 0. -1. -1. 0. -1.375 0.375 0. -1. 0. -1. 3.1667- 2.1667

0 artfcl 1 0. 10.3782 0. -4.2244 -4.5449 4.8077 1. -1. 0. 0. 0.1635- 0.1635 0. 0. 0. 0. 0.6282- 0.6282 0.2083

1 X3 0. 0.3301 1. 0.516 0.2532 -1.0577 0. 0. 0. 0. -0.024 0.024 0. 0. 0. 0. 0.0449 -0.0449 0.0208

0 surplus 2 0.

-11.1859 0. -5.7372 -3.6474

-15.3462 0. 0. -1. 1. 0.1058 -0.1058 0. 0. 0. 0. 0.9359 -0.9359 0.0417

0 artfcl 4 0. 2.2436 0. 1.4487

-11.9103 16.3846 0. 0. 0. 0.

-0.1731 0.1731 1. -1. 0. 0.

-0.7436 0.7436 0.0833

0 artfcl 5 0. 2.7949 0. 3.359 -0.1282 18.3077 0. 0. 0. 0.

-0.0385 0.0385 0. 0. 1. -1.

-0.7949 0.7949 0.1667

1 X1 1. 0.5385 0. 0.3077 0.4615 1.6923 0. 0. 0. 0. 0.0385 -0.0385 0. 0. 0. 0.

-0.0385 0.0385 0.

Iteration 6

cj-zj 23.3409- 2.8485 0. -6.5985 27.3561- 0. 0. -1. -1. 0. 2.2727- 1.2727 0. -1. 0. -1. 2.2689- 1.2689

0 artfcl 1 -2.8409 8.8485 0. -5.0985 -5.8561 0. 1. -1. 0. 0. 0.2727- 0.2727 0. 0. 0. 0. 0.5189- 0.5189 0.2083

1 X3 0.625 0.6667 1. 0.7083 0.5417 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.0208 -0.0208 0.0208

0 surplus 2 9.0682 -6.303 0. -2.947 0.5379 0. 0. 0. -1. 1. 0.4545 -0.4545 0. 0. 0. 0. 0.5871 -0.5871 0.0417

0 artfcl 4 -9.6818 -2.9697 0. -1.5303

-16.3788 0. 0. 0. 0. 0.

-0.5455 0.5455 1. -1. 0. 0.

-0.3712 0.3712 0.0833

0 artfcl 5

-10.8182 -3.0303 0. 0.0303 -5.1212 0. 0. 0. 0. 0.

-0.4545 0.4545 0. 0. 1. -1.

-0.3788 0.3788 0.1667

1 X6 0.5909 0.3182 0. 0.1818 0.2727 1. 0. 0. 0. 0. 0.0227 -0.0227 0. 0. 0. 0.

(35)

Iteration 7

cj-zj -28.631 0. 0. -8.2262 29.7976- -8.9524 0. -1. -1. 0. 2.4762- 1.4762 0. -1. 0. -1. 2.0655- 1.0655

0 artfcl 1 19.2738- 0. 0. 10.1548- 13.4405- 27.8095- 1. -1. 0. 0. 0.9048- 0.9048 0. 0. 0. 0. 0.1131 -0.1131 0.2083

1 X3 -0.6131 0. 1. 0.3274 -0.0298 -2.0952 0. 0. 0. 0. 0.0476- 0.0476 0. 0. 0. 0. 0.0685 -0.0685 0.0208

0 surplus 2 20.7738 0. 0. 0.6548 5.9405 19.8095 0. 0. -1. 1. 0.9048 -0.9048 0. 0. 0. 0. 0.1369 -0.1369 0.0417

0 artfcl 4 -4.1667 0. 0. 0.1667

-13.8333 9.3333 0. 0. 0. 0.

-0.3333 0.3333 1. -1. 0. 0.

-0.5833 0.5833 0.0833

0 artfcl 5 -5.1905 0. 0. 1.7619 -2.5238 9.5238 0. 0. 0. 0.

-0.2381 0.2381 0. 0. 1. -1.

-0.5952 0.5952 0.1667

1 X2 1.8571 1. 0. 0.5714 0.8571 3.1429 0. 0. 0. 0. 0.0714 -0.0714 0. 0. 0. 0.

-0.0714 0.0714 0.

Iteration 8

cj-zj 2.8158 0. 0. 8.3421 -7.8684 36.4211 1.6316- 0.6316 -1. 0. -1. 0. 0. -1. 0. -1. -2.25 1.25

0 surplus 3 21.3026- 0. 0. 11.2237- 14.8553- 30.7368- 1.1053 -1.1053 0. 0. -1. 1. 0. 0. 0. 0. 0.125 -0.125 0.2303

1 X3 0.4013 0. 1. 0.8618 0.6776 -0.6316 0.0526- 0.0526 0. 0. 0. 0. 0. 0. 0. 0. 0.0625 -0.0625 0.0099

0 surplus 2 1.5 0. 0. -9.5 -7.5 -8. 1. -1. -1. 1. 0. 0. 0. 0. 0. 0. 0.25 -0.25 0.25

0 artfcl 4 2.9342 0. 0. 3.9079 -8.8816 19.5789

-0.3684 0.3684 0. 0. 0. 0. 1. -1. 0. 0. -0.625 0.625 0.0066

0 artfcl 5 -0.1184 0. 0. 4.4342 1.0132 16.8421

-0.2632 0.2632 0. 0. 0. 0. 0. 0. 1. -1. -0.625 0.625 0.1118

1 X2 0.3355 1. 0. -0.2303 -0.2039 0.9474 0.0789 -0.0789 0. 0. 0. 0. 0. 0. 0. 0.

(36)

Iteration 9

cj-zj -2.6425 0. 0. 1.0726 8.6532 0. 0.9462- -0.0538 -1. 0. -1. 0. 1.8602- 0.8602 0. -1. 1.0874- 0.0874

0 surplus 3 16.6962- 0. 0. -5.0887 28.7984- 0. 0.5269 -0.5269 0. 0. -1. 1. 1.5699 -1.5699 0. 0. 0.8562- 0.8562 0.2406

1 X3 0.496 0. 1. 0.9879 0.3911 0. 0.0645- 0.0645 0. 0. 0. 0. 0.0323 -0.0323 0. 0. 0.0423 -0.0423 0.0101

0 surplus 2 2.6989 0. 0. -7.9032 -11.129 0. 0.8495 -0.8495 -1. 1. 0. 0. 0.4086 -0.4086 0. 0.

-0.0054 0.0054 0.2527

1 X6 0.1499 0. 0. 0.1996 -0.4536 1.

-0.0188 0.0188 0. 0. 0. 0. 0.0511 -0.0511 0. 0.

-0.0319 0.0319 0.0003

0 artfcl 5 -2.6425 0. 0. 1.0726 8.6532 0. 0.0538 -0.0538 0. 0. 0. 0.

-0.8602 0.8602 1. -1.

-0.0874 0.0874 0.1062

1 X2 0.1935 1. 0. -0.4194 0.2258 0. 0.0968 -0.0968 0. 0. 0. 0. 0.0484- 0.0484 0. 0. 0.0323- 0.0323 0.0161

Iteration 10

cj-zj 0. 0. 0. 0. 0. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1. 0. -1. 0.

0 surplus 3 25.4905- 0. 0. -1.5191 0. 0. 0.7058 -0.7058 0. 0. -1. 1. 1.2929- 1.2929 3.3281 -3.3281 1.1469- 1.1469 0.594

1 X3 0.6154 0. 1. 0.9394 0. 0. 0.0669- 0.0669 0. 0. 0. 0. 0.0711 -0.0711 0.0452- 0.0452 0.0463 -0.0463 0.0053

0 surplus 2 -0.6996 0. 0. -6.5238 0. 0. 0.9186 -0.9186 -1. 1. 0. 0.

-0.6977 0.6977 1.2861 -1.2861

-0.1177 0.1177 0.3893

1 X6 0.0113 0. 0. 0.2558 0. 1. -0.016 0.016 0. 0. 0. 0. 0.006 -0.006 0.0524 -0.0524

-0.0365 0.0365 0.0059

1 X5 -0.3054 0. 0. 0.124 1. 0. 0.0062 -0.0062 0. 0. 0. 0.

-0.0994 0.0994 0.1156 -0.1156

-0.0101 0.0101 0.0123

1 X2 0.2625 1. 0. -0.4473 0. 0. 0.0954 -0.0954 0. 0. 0. 0. 0.0259- 0.0259 0.0261- 0.0261 -0.03 0.03 0.0134

(37)

Iteration 11

cj-zj -0.4161 0. 0. -0.1281 0. 0. 0.0186 -0.0186 0. 0. 0. 0. 0.0482- 0.0482 0.0967 -0.0967 0.0303- 0.0303

0 surplus 3 25.4905- 0. 0. -1.5191 0. 0. 0.7058 -0.7058 0. 0. -1. 1. 1.2929- 1.2929 3.3281 -3.3281 1.1469- 1.1469 0.594

1 X3 0.6154 0. 1. 0.9394 0. 0. 0.0669- 0.0669 0. 0. 0. 0. 0.0711 -0.0711 0.0452- 0.0452 0.0463 -0.0463 0.0053

0 surplus 2 -0.6996 0. 0. -6.5238 0. 0. 0.9186 -0.9186 -1. 1. 0. 0.

-0.6977 0.6977 1.2861 -1.2861

-0.1177 0.1177 0.3893

1 X6 0.0113 0. 0. 0.2558 0. 1. -0.016 0.016 0. 0. 0. 0. 0.006 -0.006 0.0524 -0.0524

-0.0365 0.0365 0.0059

1 X5 -0.3054 0. 0. 0.124 1. 0. 0.0062 -0.0062 0. 0. 0. 0.

-0.0994 0.0994 0.1156 -0.1156

-0.0101 0.0101 0.0123

1 X2 0.2625 1. 0. -0.4473 0. 0. 0.0954 -0.0954 0. 0. 0. 0. 0.0259- 0.0259 0.0261- 0.0261 -0.03 0.03 0.0134

Iteration 12

cj-zj -0.268 0. 0. -0.1883 -0.4852 0. 0.0156 -0.0156 0. 0. 0. 0. 0. 0. 0.0406 -0.0406 0.0254- 0.0254

0 surplus 3 21.5188- 0. 0. -3.1312 13.0062- 0. 0.625 -0.625 0. 0. -1. 1. 0. 0. 1.825 -1.825 1.0156- 1.0156 0.4344

1 X3 0.3969 0. 1. 1.0281 0.7156 0. 0.0625- 0.0625 0. 0. 0. 0. 0. 0. 0.0375 -0.0375 0.0391 -0.0391 0.0141

0 surplus 2 1.4438 0. 0. -7.3938 -7.0188 0. 0.875 -0.875 -1. 1. 0. 0. 0. 0. 0.475 -0.475

-0.0469 0.0469 0.3031

1 X6 -0.007 0. 0. 0.2633 0.0602 1.

-0.0156 0.0156 0. 0. 0. 0. 0. 0. 0.0594 -0.0594

-0.0371 0.0371 0.0066

0 surplus 4 -3.0719 0. 0. 1.2469 10.0594 0. 0.0625 -0.0625 0. 0. 0. 0. -1. 1. 1.1625 -1.1625

-0.1016 0.1016 0.1234

1 X2 0.3422 1. 0. -0.4797 -0.2609 0. 0.0937 -0.0937 0. 0. 0. 0. 0. 0. 0.0563- 0.0563 0.0273- 0.0273 0.0102

(38)

13

cj-zj -0.2632 0. 0. -0.3684 -0.5263 -0.6842 0.0263 -0.0263 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.

0 surplus 3 21.3263- 0. 0. 10.3368- 14.6526- 27.3684- 1.0526 -1.0526 0. 0. -1. 1. 0. 0. 0.2 -0.2 0. 0. 0.2526

1 X3 0.3895 0. 1. 1.3053 0.7789 1.0526 0.0789- 0.0789 0. 0. 0. 0. 0. 0. 0.1 -0.1 0. 0. 0.0211

0 surplus 2 1.4526 0. 0. -7.7263 -7.0947 -1.2632 0.8947 -0.8947 -1. 1. 0. 0. 0. 0. 0.4 -0.4 0. 0. 0.2947

0 surplus 6 -0.1895 0. 0. 7.0947 1.6211 26.9474

-0.4211 0.4211 0. 0. 0. 0. 0. 0. 1.6 -1.6 -1. 1. 0.1789

0 surplus 4 -3.0526 0. 0. 0.5263 9.8947 -2.7368 0.1053 -0.1053 0. 0. 0. 0. -1. 1. 1. -1. 0. 0. 0.1053

1 X2 0.3474 1. 0. -0.6737 -0.3053 -0.7368 0.1053 -0.1053 0. 0. 0. 0. 0. 0. -0.1 0.1 0. 0. 0.0053

(untitled) Solution

X1 X2 X3 X4 X5 X6 RHS Dual

Minimize 1. 1. 1. 1. 1. 1.

Constraint 1 28. 38. 38. 24. 18. 12. >= 1. -0.0263

Constraint 2 34. 46. 50. 42. 32. 20. >= 1. 0.

Constraint 3 56. 46. 48. 42. 38. 44. >= 1. 0.

Constraint 4 32. 34. 44. 34. 14. 24. >= 1. 0.

Constraint 5 26. 30. 40. 32. 22. 20. >= 1. 0.

Constraint 6 30. 32. 48. 34. 26. 0. >= 1. 0.

Gambar

Tabel Pemain 1
Tabel 1
Tabel 2
Tabel 3

Referensi

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