Program linier SMA

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[object Object],[object Object],[object Object],[object Object],Nama kelompok :

STANDAR KOMPETENSI MENYELESAIKAN MASALAH PROGRAM LINIER

KOMPETENSI DASAR ,[object Object],[object Object],[object Object]

INDIKATOR ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

A. SISTEM PERTIDAKSAMAAN LINIER DUA VARIABEL ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Menentukan Penyelesaian Sistem Pertidaksamaan Linier 2 Variabel ,[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Y X 60 60 x + y = 60 O

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Y O X 60 60 O Y X 90 22,5

[object Object],[object Object],O Y X 90 22,5 Y O X 60 60 90 22,5

B. FUNGSI TUJUAN (FUNGSI OBJEKTIF) BESERTA KENDALA ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Contoh Farah akan membuat roti bolu dan roti tawar. Roti bolu membutuhkan 100 gram terigu dan 25 gram mentega. Roti jenis tawar membutuhkan 50 gram terigu dan 50 gram mentega. Farah mempunyai persedian bahan 2,5 Kg terigu 1Kg mentega. Farah akan membuat ro t i sebanyak – banyaknya. Tentukan model matematika dari masalah tersebut!

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Jenis Roti Terigu (gram) Mentega (gram) Bolu 100 25 Tawar 50 50 Persediaan 2.500 1000 Jenis Roti Banyaknya Bahan yang dibutuhkan Terigu Mentega Bolu x 100 x 25 x Tawar y 50 y 50 y Jumlah x+ y 100 x + 50 y 25 x + 50 y persediaan 2500 1000

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

C. NILAI OPTIMUM DARI MASALAH PROGRAM LINIER ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

1. Metode uji titik pojok ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],50 20 25 40 O A B C X Y

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

2 . Metode Garis Selidik ,[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],y x 3 2 1 0 2 4 6

Contoh Model matematika masalah Farah dalam membuat roti Memaksimumkan f(x,y) = x + y Dengan syarat / kendala : x ≥ 0 y ≥ 0 2x + y ≤ 50 x + 2y ≤ 40 Tentukan nilai maksimum dari fungsi objektif tersebut!

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],50 20 25 40 O A X Y

[object Object],[object Object],[object Object],50 20 25 40 O A B C X Y X + y = 0 X + y = 1 0 X + y = 2 0 X + y = 3 0

[object Object],[object Object],[object Object]

Soal-Soal Program Linier ,[object Object]

Kunci Jawaban ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Program linier SMA

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