7/26/2019 Sol Grafica

1/5

Max z = 2x1+3x2

5x1+2x2=0

(1) (2) (3)X1 X2 X1 X2 X1 X26 0 5 0 0 00 15 0 NO

EXIST

E

2 3

2x1+3x2 =12

FOX1 X26 00 4

R!"#$%&'" (1) (3)

X1 = 30* = 3.5X2 = 5.625

= 24.35

7/26/2019 Sol Grafica

2/5

0 2 4 6 8

0

3

6

9

1 2

1 5

: 5 . 0 0 X 1 + 2 . 0 0 X 2 = 3 0 . 0 0

: 3 . 0 0 X 1 + 0 . 0 0 X 2 = 1 5 . 0 0

: 3 . 0 0 X 1 - 2 . 0 0 X 2 = 0 . 0 0

P a y o f f : 2 . 0 0 X 1 + 3 . 0 0 X 2 = 2 4 . 3 0

O p t i m a l D e c i io ! " X 1 # X 2 $ : " 3 .7 5 # 5 .6 3 $

: 5 . 0 0 X 1 + 2 . 0 0 X 2 % = 3 0 . 0 0

: 3 . 0 0 X 1 + 0 . 0 0 X 2 % = 1 5 . 0 0

: 3 . 0 0 X 1 - 2 . 0 0 X 2 & = 0 . 0 0

/aa/

7/26/2019 Sol Grafica

3/5

Max = 2x1+3x2

!.a

3x1+2x2=20

X1>=5X1,x2>=0

Max = 2x1+3x2

!.a

3x1+2x2>=30

X1+x2>=20X1>=5

X1,x2>=0

7/26/2019 Sol Grafica

4/5

Max = 2x1+3x2

!.a

3x1+2x2=0

7/26/2019 Sol Grafica

5/5