metodo simplex - ejercicios resueltos

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  • 7/25/2019 Metodo Simplex - Ejercicios Resueltos

    1/4

    Cj 6 8 4 0

    X1 X2 X3 U1

    0 U1 1 4 5 1

    0 U2 2 0 3 0

    0 U3 3 6 9 00 U4 2 3 -2 0

    Zj 0 0 0 0

    Cj -Zj 6 8 4 0

    Cj 6 8 4 0

    X1 X2 X3 U1

    8 X2 0.25 1 1.25 0.25

    0 U2 2 0 3 0

    0 U3 1.5 0 1.5 -1.50 U4 1.25 0 -5.75 -0.75

    Zj 2 8 10 2

    Cj -Zj 4 0 -6 -2

    Cj 6 8 4 0

    X1 X2 X3 U1

    8 X2 0 1 0.875 0.25

    6 X1 1 0 1.5 0

    0 U3 0 0 -0.75 -1.5

    0 U4 0 0 -7.625 -0.75

    Zj 6 8 16 2

    Cj -Zj 0 0 -12 -2

  • 7/25/2019 Metodo Simplex - Ejercicios Resueltos

    2/4

    0 0 0

    U2 U3 U4 b

    0 0 0 40 10

    1 0 0 30

    0 1 0 90 150 0 1 60 20

    0 0 0 0

    0 0 0

    0 0 0

    U2 U3 U4 b

    0 0 0 10 40

    1 0 0 30 15

    0 1 0 30 200 0 1 30 24

    0 0 0 80

    0 0 0

    0 0 0

    U2 U3 U4 b

    -0.125 0 0 6.25

    0.5 0 0 15

    -0.75 1 0 7.5

    -0.625 0 1 11.25

    2 0 0 140

    -2 0 0

  • 7/25/2019 Metodo Simplex - Ejercicios Resueltos

    3/4

    Cj 1.3 2.5 3 0

    X1 X2 X3 U1

    0 U1 0.1 0.3 1 1

    0 U2 0 0.4 0.1 0

    0 U3 0.5 0.5 0.5 00 U4 0 0 0.5 0

    Zj 0 0 0 0

    Cj -Zj 1.3 2.5 3 0

    Cj 1.3 2.5 3 0

    X1 X2 X3 U1

    3 X3 0.1 0.3 1 1

    0 U2 -0.01 0.37 0 -0.1

    0 U3 0.45 0.35 0 -0.50 U4 -0.05 -0.15 0 -0.5

    Zj 0.3 0.9 3 3

    Cj -Zj 1 1.6 0 -3

    Cj 1.3 2.5 3 0

    X1 X2 X3 U1

    3 X3 -0.29 0 1 1.43

    0 U2 -0.49 0 0 0.43

    2.5 X2 1.29 1 0 -1.43

    0 U4 0.14 0 0 -0.71

    Zj 2.36 2.5 3 0.71

    Cj -Zj -1.06 0 0 -0.71

  • 7/25/2019 Metodo Simplex - Ejercicios Resueltos

    4/4

    0 0 0

    U2 U3 U4 b

    0 0 0 200 200

    1 0 0 200 2000

    0 1 0 200 4000 0 1 200 400

    0 0 0 0

    0 0 0

    0 0 0

    U2 U3 U4 b

    0 0 0 200 666.67

    1 0 0 180 486.49

    0 1 0 100 285.710 0 1 100 -666.67

    0 0 0 600

    0 0 0

    0 0 0

    U2 U3 U4 b

    0 -0.86 0 114.29

    1 -1.06 0 74.29

    0 2.86 0 285.71

    0 0.43 1 142.86

    0 4.57 0 1057.14

    0 -4.57 0