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  • 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