miércoles, 27 de julio de 2011

EL METODO ALGORITMO DE SIMPLES PARTE 5


13.Max  Z  =  60X1 + 40X2 + 35X3
            S.a.
                        2X1 +   X2 +   5X3  ≤  200
                        6X1 + 5X2 +   3X3  ≤  84
                        5X1 + 5X2 +   4X3  ≤  100
                                 X1 , X2 , X3    ≥  0
Forma Estandarizada :
         Max  Z  =  60X1 + 40X2 + 35X3 + 0S1 + 0S2 + 0S3
            S.a.
                        2X1 +   X2 +   5X3 + S1                    =  200
                        6X2 + 5X2 +   3X3         + S2            =  84
                        5X3 + 5X2 +   4X3                  + S3   =  100
                                            X1, X2, X3, S1, S2, S3   ≥  0


CJ
60
40
35
0
0
0

CB
XB
Bi
X1
X2
X3
S1
S2
S3
θK
0
S1
200
2
1
5
1
0
0
100
0
S2
84
6
5
3
0
1
0
14
0
S3
100
5
5
4
0
0
1
20

ZJ
0
0
0
0
0
0
0


ZJ         +
CJ
-60
-40
-35
0
0
0

0
S1
172
0
-2/3
4
1
-1/3
0
43
60
X1
14
1
5/6
1/2
0
1/6
0
28
0
S3
30
0
5/6
3/2
0
-5/6
1
20

ZJ
840
60
50
30
0
10
0


ZJ         +
CJ
0
10
-5
0
10
0

0
S1
92
0
-26/9
0
1
17/9
-8/3

60
X1
4
1
5/9
0
0
4/9
-1/3

35
X3
20
0
5/9
1
0
-5/9
2/3


ZJ
940
60
475/9
35
0
65/9
10/3


ZJ         +
CJ
0
115/9
0
0
65/9
10/3

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