MODUL 1: MODEL MATEMATIKA SUATU · PDF fileMODUL 3: METODE SIMPLEKS 3.1 ... MODEL...

5
iii Daftar Isi MODUL 1: MODEL MATEMATIKA SUATU PROGRAM LINEAR 1.1 Kegiatan Belajar 1: Pemecahan Dasar (Basis) dari Sistem Persamaan .............................. 1.3 Latihan …………………………………………........... .................... 1.15 Rangkuman ………………………………….................................... 1.20 Tes Formatif 1 ……………………………..…….............................. 1.21 Kegiatan Belajar 2: Sistem Pertidaksamaan Linear ......................................................... 1.25 Latihan …………………………………………............................... 1.39 Rangkuman ………………………………….................................... 1.44 Tes Formatif 2 ……………………………..…….............................. 1.45 Kegiatan Belajar 3: Model Matematika Masalah Program Linear ................................... 1.49 Latihan …………………………………………............................... 1.57 Rangkuman ………………………………….................................... 1.61 Tes Formatif 3 ……………………………..……......................... ..... 1.62 KUNCI JAWABAN TES FORMATIF ............................................. 1.66 DAFTAR PUSTAKA ........................................................................ 1.68 MODUL 2: PENDEKATAN GEOMETRIS DAN CARA SIMPLEKS MASALAH DUA VARIABEL 2.1 Kegiatan Belajar 1: Cara Grafik ........................................................................................ 2.3 Latihan …………………………………………............................... 2.13 Rangkuman ………………………………….............................. ...... 2.16 Tes Formatif 1 ……………………………..…….............................. 2.17

Transcript of MODUL 1: MODEL MATEMATIKA SUATU · PDF fileMODUL 3: METODE SIMPLEKS 3.1 ... MODEL...

Page 1: MODUL 1: MODEL MATEMATIKA SUATU  · PDF fileMODUL 3: METODE SIMPLEKS 3.1 ... MODEL TRANSPORTASI (BAGIAN I) 6.1 Kegiatan Belajar 1: ... Metode Modi

iii

Daftar Isi

MODUL 1: MODEL MATEMATIKA SUATU PROGRAM

LINEAR

1.1

Kegiatan Belajar 1:

Pemecahan Dasar (Basis) dari Sistem Persamaan .............................. 1.3

Latihan …………………………………………............................... 1.15

Rangkuman ………………………………….................................... 1.20

Tes Formatif 1 ……………………………..…….............................. 1.21

Kegiatan Belajar 2:

Sistem Pertidaksamaan Linear ......................................................... 1.25

Latihan …………………………………………............................... 1.39

Rangkuman ………………………………….................................... 1.44

Tes Formatif 2 ……………………………..…….............................. 1.45

Kegiatan Belajar 3:

Model Matematika Masalah Program Linear ................................... 1.49

Latihan …………………………………………............................... 1.57

Rangkuman ………………………………….................................... 1.61

Tes Formatif 3 ……………………………..…….............................. 1.62

KUNCI JAWABAN TES FORMATIF ............................................. 1.66

DAFTAR PUSTAKA ........................................................................ 1.68

MODUL 2: PENDEKATAN GEOMETRIS DAN CARA

SIMPLEKS MASALAH DUA VARIABEL

2.1

Kegiatan Belajar 1:

Cara Grafik ........................................................................................ 2.3

Latihan …………………………………………............................... 2.13

Rangkuman ………………………………….................................... 2.16

Tes Formatif 1 ……………………………..…….............................. 2.17

Page 2: MODUL 1: MODEL MATEMATIKA SUATU  · PDF fileMODUL 3: METODE SIMPLEKS 3.1 ... MODEL TRANSPORTASI (BAGIAN I) 6.1 Kegiatan Belajar 1: ... Metode Modi

iv

Kegiatan Belajar 2:

Analisis Simpleks pada Masalah Dua Variabel ................................ 2.21

Latihan …………………………………………............................... 2.29

Rangkuman ………………………………….................................... 2.33

Tes Formatif 2 ……………………………..…….............................. 2.34

KUNCI JAWABAN TES FORMATIF ............................................. 2.38

DAFTAR PUSTAKA ........................................................................ 2.40

MODUL 3: METODE SIMPLEKS 3.1

Kegiatan Belajar 1:

Metode Simpleks Baku ...................................................................... 3.3

Latihan …………………………………………............................... 3.16

Rangkuman ………………………………….................................... 3.18

Tes Formatif 1 ……………………………..…….............................. 3.19

Kegiatan Belajar 2:

Metode M Charnes ............................................................................. 3.23

Latihan …………………………………………............................... 3.33

Rangkuman ………………………………….................................... 3.37

Tes Formatif 2 ……………………………..…….............................. 3.37

KUNCI JAWABAN TES FORMATIF ............................................. 3.41

DAFTAR PUSTAKA ........................................................................ 3.43

MODUL 4: METODE SIMPLEKS II 4.1

Kegiatan Belajar 1:

Metode Simpleks Dua Fase ................................................................ 4.3

Latihan …………………………………………............................... 4.10

Rangkuman ………………………………….................................... 4.15

Tes Formatif 1 ……………………………..…….............................. 4.16

Page 3: MODUL 1: MODEL MATEMATIKA SUATU  · PDF fileMODUL 3: METODE SIMPLEKS 3.1 ... MODEL TRANSPORTASI (BAGIAN I) 6.1 Kegiatan Belajar 1: ... Metode Modi

v

Kegiatan Belajar 2:

Metode Simpleks yang Diperbaharui ................................................. 4.19

Latihan …………………………………………............................... 4.30

Rangkuman ………………………………….................................... 4.34

Tes Formatif 2 ……………………………..…….............................. 4.36

KUNCI JAWABAN TES FORMATIF ............................................. 4.41

DAFTAR PUSTAKA ........................................................................ 4.43

MODUL 5: PRIMAL, DUAL, DAN KEMEROSOTAN 5.1

Kegiatan Belajar 1:

Matriks Koefisien dari Primal dan Dual ............................................. 5.2

Latihan …………………………………………............................... 5.6

Rangkuman ………………………………….................................... 5.8

Tes Formatif 1 ……………………………..…….............................. 5.8

Kegiatan Belajar 2:

Penerapan Primal dan Dual ................................................................ 5.15

Latihan …………………………………………............................... 5.21

Rangkuman ………………………………….................................... 5.24

Tes Formatif 2 ……………………………..…….............................. 5.24

Kegiatan Belajar 3:

Kemerosotan (Degeneracy) ................................................................ 5.28

Latihan …………………………………………............................... 5.35

Rangkuman ………………………………….................................... 5.36

Tes Formatif 3 ……………………………..…….............................. 5.36

KUNCI JAWABAN TES FORMATIF ............................................. 5.39

DAFTAR PUSTAKA ........................................................................ 5.43

Page 4: MODUL 1: MODEL MATEMATIKA SUATU  · PDF fileMODUL 3: METODE SIMPLEKS 3.1 ... MODEL TRANSPORTASI (BAGIAN I) 6.1 Kegiatan Belajar 1: ... Metode Modi

vi

MODUL 6: MODEL TRANSPORTASI (BAGIAN I) 6.1

Kegiatan Belajar 1:

Analisis Model Transportasi .............................................................. 6.3

Latihan …………………………………………............................... 6.7

Rangkuman ………………………………….................................... 6.8

Tes Formatif 1 ……………………………..…….............................. 6.9

Kegiatan Belajar 2:

Langkah Pertama Metode Transportasi ............................................. 6.12

Latihan …………………………………………............................... 6.24

Rangkuman ………………………………….................................... 6.26

Tes Formatif 2 ……………………………..…….............................. 6.26

KUNCI JAWABAN TES FORMATIF ............................................. 6.30

DAFTAR PUSTAKA ........................................................................ 6.32

MODUL 7: TRANSPORTASI (BAGIAN II) 7.1

Kegiatan Belajar 1:

Metode Steppingstone ........................................................................ 7.2

Latihan …………………………………………............................... 7.9

Rangkuman ………………………………….................................... 7.10

Tes Formatif 1 ……………………………..…….............................. 7.10

Kegiatan Belajar 2:

Metode Modi ...................................................................................... 7.14

Latihan …………………………………………............................... 7.25

Rangkuman ………………………………….................................... 7.26

Tes Formatif 2 ……………………………..…….............................. 7.27

KUNCI JAWABAN TES FORMATIF ............................................. 7.30

DAFTAR PUSTAKA ........................................................................ 7.34

Page 5: MODUL 1: MODEL MATEMATIKA SUATU  · PDF fileMODUL 3: METODE SIMPLEKS 3.1 ... MODEL TRANSPORTASI (BAGIAN I) 6.1 Kegiatan Belajar 1: ... Metode Modi

vii

MODUL 8: TRANSPORTASI (BAGIAN III) 8.1

Kegiatan Belajar 1:

Permintaan dan Persediaan Tidak Seimbang ..................................... 8.2

Latihan …………………………………………............................... 8.9

Rangkuman ………………………………….................................... 8.10

Tes Formatif 1 ……………………………..…….............................. 8.10

Kegiatan Belajar 2:

Masalah Transportasi ......................................................................... 8.13

Latihan …………………………………………............................... 8.25

Rangkuman ………………………………….................................... 8.26

Tes Formatif 2 ……………………………..…….............................. 8.26

KUNCI JAWABAN TES FORMATIF ............................................. 8.30

DAFTAR PUSTAKA ........................................................................ 8.35

MODUL 9: MODEL ASSIGNMENT 9.1

Kegiatan Belajar 1:

Model Assignment ............................................................................. 9.2

Latihan …………………………………………............................... 9.8

Rangkuman ………………………………….................................... 9.9

Tes Formatif 1 ……………………………..…….............................. 9.10

Kegiatan Belajar 2:

Pengembangan Metode Assignment .................................................. 9.13

Latihan …………………………………………............................... 9.23

Rangkuman ………………………………….................................... 9.24

Tes Formatif 2 ……………………………..…….............................. 9.25

KUNCI JAWABAN TES FORMATIF ............................................. 9.28

DAFTAR PUSTAKA ........................................................................ 9.32