Question

Tolong dijawab yah !

Answer 1

Verified answer

Digambar ( lampiran)

3x + y = 6
x = 0 , y = 6 --> A(0,6)
y = 0 , x = 2 --> B(2,0)

x + 2y = 4
x= 0, y = 2 --> C(0,2)
y = 0 , x = 4 --> D(4,0)

3x+ y = 6 ...kalikan 2
x + 2y = 4..kalikan 1
.
6x + 2y = 12
x + 2y = 4
kurangkan
5x = 8 --> x = 8/5

x + 2y = 4 --> 8/5 + 2y = 4
2y = 4 - 8/5 = 12/5 --> y = 6/5

E= (8/5 , 6/5)
.
Daerah HP dengan titik potong
 B(2,0) ---> f(x,y) = 4x +y --> f(2,0) = 8
C(0,2) --> f(0,2)= 2
E(8/5 , 6/5)  ---> f(8/5, 6/5) = 4(8/5) + 6/5 = 12/5 + 6/5 = 17/5
maksimum   = 17/5