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Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 79 MATERI 1 MATRIKS DAN VEKTOR MATEMATIKA EKONOMI DAN BISNIS LANJUTAN

MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

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Page 1: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 79

MATERI 1

MATRIKS DAN VEKTOR

MATEMATIKA EKONOMI DAN BISNIS LANJUTAN

Page 2: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 80

Page 3: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 81

MATERI 2

VEKTOR DAN AKAR KARAKTERISTIK

Page 4: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 82

Page 5: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 83

Page 6: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 84

MATERI 3

DERIVATIF DAN PERBANDINGAN STATIK

Page 7: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 85

Page 8: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 86

MATERI 4

ATURAN DIFERENSIAL DAN PENGGUNAANNYA

PADA PERBANDINGAN STATIK

Page 9: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 87

MATERI 5

ANALISIS PERBANDINGAN STATIK DARI MODEL-

MODEL FUNGSI UMUM (1)

Page 10: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 88

MATERI 6

ANALISIS PERBANDINGAN STATIK DARI MODEL-

MODEL FUNGSI UMUM (2)

Page 11: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 89

MATERI 7

ANALISA OPTIMISASI SEDERHANA TANPA

KENDALA DENGAN SATU VARIABEL KEPUTUSAN

Page 12: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 90

Page 13: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 91

MATERI 8

ANALISA OPTIMISASI PERTUMBUHAN

Page 14: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 92

Page 15: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 93

MATERI 9

ANALISA OPTIMISASI TANPA KENDALA DENGAN DUA

ATAU LEBIH VARIABEL KEPUTUSAN

Page 16: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 94

Page 17: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 95

MATERI 10

ANALISA OPTIMISASI DENGAN KENDALA

PERSAMAAN

Page 18: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 96

Page 19: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 97

MATERI 11

ANALISA OPTIMISASI DENGAN KENDALA

PERSAMAAN

Page 20: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 98

Page 21: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 99

Page 22: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 100

MATERI 12

ANALISA OPTIMISASI DENGAN KENDALA

PERTIDAKSAMAAN

Page 23: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 101

Page 24: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 102

MATERI 13

ANALISA OPTIMISASI DENGAN KENDALA

PERTIDAKSAMAAN MENGGUNAKAN INTERPRESTASI

KUHN TUCKER

Page 25: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 103

Page 26: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 104

MATERI 14

ANALISA INTEGRAL PADA PERBANDINGAN

STATISTIK

Page 27: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 105

Page 28: MATEMATIKA EKONOMI DAN BISNIS LANJUTAN · Masterbook of Business and Industry (MBI) Muhammad Firman (University of Indonesia - Accounting ) 81 MATERI 2 VEKTOR DAN AKAR KARAKTERISTIK

Masterbook of Business and Industry (MBI)

Muhammad Firman (University of Indonesia - Accounting ) 106