Jawaban

1.    Tabel

Proses	Waktu  1 unit produk		Total Waktu
	Lemari	Kursi
Perakitan	8	7	56
Pengecetan	5	12	60
Laba	200	100

Variabel :

X = jmh lemari

Y = jmh kursi

Z = laba

2.    Menentukan fungsi

Ø  Fungsi Tujuan   Z : 200 x + 100 y

Ø  Fungsi kendala

·         8x+5y =56

·         7x+12y=60

Fungsi perakitan               8x+5y=56

X=0                                                                        y=0

8(0)+5y=56                                                         8x+5(0)=56

      5y=56                                                                    8x = 56

      Y=11.2                                                                  x =7
(0,11.2)                                                                 (7,0)

Fungsi pengecetan                          7X+12y=60

x=0                                                                                                         y=0

7(0)+12y=60                                                                                       7x+12(0)=60

      12y=60                                                                                                7x=60

          y= 5                                                                                                    x=(8.5 ,0)

(0,5)

3.    Grafik

4.    Eliminasi ke dalam persamaan

8x+5y=56           8     56x+35y=392

7x+12y=60         7    56x+96y=480

                                                           -61y= -88

                                                           y=1,4

Sub persamaan ke 1

8x+5(1.4)=56

8x+7=56

8x=56+7

8x=63

x=7.9

(7.9 , 1.4 )

5.    Subtitusi titik kordinat

Fungsi Tujuan         Z=200x + 100y

Titik A (0,0)  Z=200(0) + 100(0)

                        = 0

Titik B (0,5)  Z=200(0) + 100(5)

                        = 500

Titik C (7,0)   Z=200(7) + 100(0)

                         =1400

Titik D (7.9 , 1.4)   Z=200(7.9) + 100(1.4)

                                  =1580+140

                                 = 1720