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Selamat Datang Di Blog Liska SoeSanti

Kamis, 08 Mei 2014

PEMROGRAMAN LINEAR


PEMROGRAMAN LINEAR
Produk
Perakitan
Pengecetan
Untung
Lemari
8
5
200
Kursi
7
12
100

56
60


Fungsi tujuan
Z=200x+100y
Fungsi kendala
(I)                 8x+7y<56
(II)              5x+12y<60
Jika x=0
8x+7y=56
8(0)+7y=56
            7y=56
            7y=56/y
            y=8
Jika y=0
8x+7y=56
8x+7(0)=56
            8x=56
            x=56/8
            x=7

Untuk persamaan
Jika x=0
5x+12y=60
5(0)+12y=60
            y=60/12
            y=5


Jika y=0
5x+12y=60
5x+12(0)=60
            5x=60
            x=60/5
            x=12
II Titik potong
y{(0.08):x(7.0)}
y{(0.05):x(12.0)}

Menggambar Grafik

Menyelesaikan persamaan dengan linier
8x+7y<56  |x5|40+35=280
5x+12y<60|x8|40+96=480
                        0=-61y=-200
                            61y=200
                            y=200/61
                            Y=32.78
5x+12y=60
5x+12(3.2)=60
5x+38.4=60
          5x=60-38.4
          x=21.6
                 5
          x=4.32

(A.)=(0.5)
(B)=(4.32:3.27)
(C)=(7.0)

A)Z = 200x+100y
       =200(0)+100(5)
       =500

B)Z = 200x+100y
       =200(4.130)+100(3.27)
       =827.6+327
       =154.6

C)Z = 200x+100y
       =200(7)+100(0)
       =1400


 

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