1.
Rangkuman Informasi kedalam Tabel
|
Produk
|
Tenaga
Kerja (jam/unit)
|
Tanah
liat (kg/unit)
|
Laba
|
|
Mangkok
|
1
|
3
|
4000
|
|
Cangkir
|
2
|
2
|
5000
|
Misalkan :
X
= Mangkok
Y
= Cangkir
Z
= Laba
2. 2.
Menentukan Fungsi
·
Fungsi tujuan = misalkan z= 4000x + 5000y
·
Fungsi kendala = fungsi mangkok = 1x + 3y ≤
4000
= Fungsi cangkir = 2x + 2y ≤ 5000
3.
Menentukan titik potong
-
Mangkok = 1x + 3y = 4000
X = 0 y
= 0
1(0) + 3y = 4000 1x
+ 3(0) = 4000
3y = 4000 1x=
4000
Y = 1.3 x= 4000
(0,1) (4000,0)
-
Cangkir = 2x + 2y = 5000 y=0
X=0 2x
+ 2(0)= 5000
2(0) + 2y = 5000 2x
= 5000
2y=5000 x=2500
Y= 2500 (2500,0)
(0,2500)
4.
Eleminasi kedua persamaan fungsi kendala :
1x + 3y =4000 2
2x + 2y = 5000 1
2x + 6y = 8000
2x + 2y = 5000
4y
= 3000
Y = 750
Substitusi
ke pers (1)
1
*750 + 3y =4000
750
+ 3y = 4000
3y = 4000-750
3y=
3250
Y=
1083
5. Subsitusi
ke titik koordinat ke dalam
persamaan fungsi
tujuan = z = 4000x + 5000y
titik A (0,0) z =
4000 (0) + 5000 (0)
= 0
Titik B (4000,0)z
= 4000 (4000)+ 5000 (0)
= 160.000.00
Titik C (0,2500)z
= 4000 (0) + 5000 (2500)
= 125.000.00
Grafik
y
2500 ●(0,2500)
2000
1000
500
200
100 (2500,0)
1●(0,1) ● ● x
0 ● 20
40 60 100
150 200 1000
2000 2500 3000 4000 4500
(4000,0)
