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1 von 9
max d1+d2+d3

st

D11+D12-D1=0

D21+D22-D2=0

D31+D32-D3=0



V11+E11-D11=0

V21+E21-D21=0

V31+E31-D31=0



V12+E12-D12=0

V21+E22-D22=0

V32+E32-D32=0




C11+C12-C1=0

C1=900




C21+C22-C2=0

C2=900



C31+C32-C3=0

C3=520



D1>=70000

D1<=130000
D2>=60000

D2<=90000

D3>=10000

D3<=16000



Io11>=150

IF11<=200

Io11+C11-D11-IF11=0

Io12>=150

IF12<=200

Io12+C12-D12-IF12=0



Io21>=130

IF21<=200

Io21+C21-D21-IF21=0

Io22>=130

IF22<=200

Io22+C22-D22-IF22=0



Io31>=50

IF31<=80

Io31+C31-D31-IF31=0

Io32>=50

IF32<=80

Io32+C32-D32-IF32=0
P OPTIMUM FOUND AT STEP     15



   OBJECTIVE FUNCTION VALUE



   1)    236000.0



VARIABLE      VALUE     REDUCED COST

   D1 130000.000000        0.000000

   D2    90000.000000     0.000000

   D3    16000.000000     0.000000

   D11 130000.000000       0.000000

   D12      0.000000    0.000000

   D21   89870.000000      0.000000

   D22     130.000000     0.000000

   D31     570.000000     0.000000

   D32   15430.000000      0.000000

   V11     0.000000     0.000000

   E11 130000.000000       0.000000

   V21     130.000000     0.000000

   E21   89740.000000      0.000000

   V31     570.000000     0.000000

   E31     0.000000     0.000000

   V12     0.000000     0.000000

   E12     0.000000     0.000000

   E22     0.000000     0.000000

   V32   15430.000000      0.000000

   E32     0.000000     0.000000
C11    900.000000       0.000000

C12     0.000000       0.000000

 C1    900.000000      0.000000

C21    900.000000       0.000000

C22     0.000000       0.000000

 C2    900.000000      0.000000

C31    520.000000       0.000000

C32     0.000000       0.000000

 C3    520.000000      0.000000

IO11 129100.000000        0.000000

IF11    0.000000      0.000000

IO12   150.000000       0.000000

IF12   150.000000       0.000000

IO21   88970.000000      0.000000

IF21    0.000000      0.000000

IO22   130.000000       0.000000

IF22    0.000000      0.000000

IO31    50.000000       0.000000

IF31    0.000000      0.000000

IO32   15430.000000      0.000000

IF32    0.000000      0.000000




ROW SLACK OR SURPLUS       DUAL PRICES

 2)    0.000000       0.000000

 3)    0.000000       0.000000

 4)    0.000000       0.000000
5)     0.000000      0.000000

6)     0.000000      0.000000

7)     0.000000      0.000000

8)     0.000000      0.000000

9)     0.000000      0.000000

10)    0.000000      0.000000

11)    0.000000      0.000000

12)    0.000000      0.000000

13)    0.000000      0.000000

14)    0.000000      0.000000

15)    0.000000      0.000000

16)    0.000000      0.000000

17)   60000.000000     0.000000

18)    0.000000      1.000000

19)   30000.000000     0.000000

20)    0.000000      1.000000

21)   6000.000000      0.000000

22)    0.000000      1.000000

23) 128950.000000       0.000000

24)   200.000000      0.000000

25)    0.000000      0.000000

26)    0.000000      0.000000

27)    50.000000      0.000000

28)    0.000000      0.000000

29)   88840.000000     0.000000

30)   200.000000      0.000000

31)    0.000000      0.000000
32)       0.000000        0.000000

  33)      200.000000        0.000000

  34)       0.000000        0.000000

  35)       0.000000        0.000000

  36)      80.000000         0.000000

  37)       0.000000        0.000000

  38)   15380.000000           0.000000

  39)      80.000000         0.000000

  40)       0.000000        0.000000



NO. ITERATIONS=       15




RANGES IN WHICH THE BASIS IS UNCHANGED:



              OBJ COEFFICIENT RANGES

VARIABLE      CURRENT         ALLOWABLE        ALLOWABLE

           COEF       INCREASE        DECREASE

  D1       1.000000        INFINITY     1.000000

  D2       1.000000        INFINITY     1.000000

  D3       1.000000        INFINITY     1.000000

  D11      0.000000        INFINITY       0.000000

  D12      0.000000        0.000000       INFINITY

  D21      0.000000        0.000000       0.000000

  D22      0.000000        0.000000       0.000000

  D31      0.000000        0.000000       0.000000

  D32      0.000000        0.000000       0.000000
V11    0.000000   0.000000    INFINITY

E11    0.000000   INFINITY   0.000000

V21    0.000000   0.000000    0.000000

E21    0.000000   0.000000    0.000000

V31    0.000000   0.000000    0.000000

E31    0.000000   0.000000    INFINITY

V12    0.000000   0.000000    INFINITY

E12    0.000000   0.000000    INFINITY

E22    0.000000   0.000000    INFINITY

V32    0.000000   0.000000    0.000000

E32    0.000000   0.000000    INFINITY

C11    0.000000   INFINITY   0.000000

C12    0.000000   0.000000    INFINITY

 C1    0.000000   INFINITY   INFINITY

C21    0.000000   INFINITY   0.000000

C22    0.000000   0.000000    INFINITY

 C2    0.000000   INFINITY   INFINITY

C31    0.000000   INFINITY   0.000000

C32    0.000000   0.000000    INFINITY

 C3    0.000000   INFINITY   INFINITY

IO11   0.000000   0.000000    0.000000

IF11   0.000000   0.000000    INFINITY

IO12   0.000000   0.000000    INFINITY

IF12   0.000000   0.000000    0.000000

IO21   0.000000   0.000000    0.000000

IF21   0.000000   0.000000    INFINITY

IO22   0.000000   0.000000    INFINITY
IF22    0.000000      0.000000        INFINITY

IO31    0.000000       0.000000       INFINITY

IF31    0.000000      0.000000        INFINITY

IO32    0.000000       0.000000       0.000000

IF32    0.000000      0.000000        INFINITY



           RIGHTHAND SIDE RANGES

ROW       CURRENT       ALLOWABLE        ALLOWABLE

        RHS       INCREASE       DECREASE

 2     0.000000      INFINITY 128950.000000

 3     0.000000      INFINITY     88840.000000

 4     0.000000      INFINITY     15380.000000

 5     0.000000      INFINITY 130000.000000

 6     0.000000      INFINITY     89740.000000

 7     0.000000      INFINITY      570.000000

 8     0.000000      0.000000       150.000000

 9     0.000000     89740.000000      130.000000

 10    0.000000       INFINITY    15430.000000

 11    0.000000 128950.000000          900.000000

 12    900.000000 128950.000000         900.000000

 13    0.000000     88840.000000      900.000000

 14    900.000000    88840.000000       900.000000

 15    0.000000     15380.000000      520.000000

 16    520.000000    15380.000000       520.000000

 17 70000.000000      60000.000000        INFINITY

 18 130000.000000        INFINITY    60000.000000

 19 60000.000000      30000.000000        INFINITY
20 90000.000000      INFINITY     30000.000000

21 10000.000000     6000.000000       INFINITY

22 16000.000000      INFINITY     6000.000000

23   150.000000 128950.000000         INFINITY

24   200.000000     INFINITY      200.000000

25   0.000000      INFINITY 128950.000000

26   150.000000    50.000000       150.000000

27   200.000000     INFINITY      50.000000

28   0.000000     150.000000       50.000000

29   130.000000   88840.000000       INFINITY

30   200.000000     INFINITY      200.000000

31   0.000000      INFINITY     88840.000000

32   130.000000   44870.000000       130.000000

33   200.000000     INFINITY      200.000000

34   0.000000     130.000000     44870.000000

35   50.000000    15380.000000      50.000000

36   80.000000     INFINITY      80.000000

37   0.000000     570.000000     15380.000000

38   50.000000    15380.000000       INFINITY

39   80.000000     INFINITY      80.000000

40   0.000000      INFINITY     15380.000000

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Inventario

  • 3. P OPTIMUM FOUND AT STEP 15 OBJECTIVE FUNCTION VALUE 1) 236000.0 VARIABLE VALUE REDUCED COST D1 130000.000000 0.000000 D2 90000.000000 0.000000 D3 16000.000000 0.000000 D11 130000.000000 0.000000 D12 0.000000 0.000000 D21 89870.000000 0.000000 D22 130.000000 0.000000 D31 570.000000 0.000000 D32 15430.000000 0.000000 V11 0.000000 0.000000 E11 130000.000000 0.000000 V21 130.000000 0.000000 E21 89740.000000 0.000000 V31 570.000000 0.000000 E31 0.000000 0.000000 V12 0.000000 0.000000 E12 0.000000 0.000000 E22 0.000000 0.000000 V32 15430.000000 0.000000 E32 0.000000 0.000000
  • 4. C11 900.000000 0.000000 C12 0.000000 0.000000 C1 900.000000 0.000000 C21 900.000000 0.000000 C22 0.000000 0.000000 C2 900.000000 0.000000 C31 520.000000 0.000000 C32 0.000000 0.000000 C3 520.000000 0.000000 IO11 129100.000000 0.000000 IF11 0.000000 0.000000 IO12 150.000000 0.000000 IF12 150.000000 0.000000 IO21 88970.000000 0.000000 IF21 0.000000 0.000000 IO22 130.000000 0.000000 IF22 0.000000 0.000000 IO31 50.000000 0.000000 IF31 0.000000 0.000000 IO32 15430.000000 0.000000 IF32 0.000000 0.000000 ROW SLACK OR SURPLUS DUAL PRICES 2) 0.000000 0.000000 3) 0.000000 0.000000 4) 0.000000 0.000000
  • 5. 5) 0.000000 0.000000 6) 0.000000 0.000000 7) 0.000000 0.000000 8) 0.000000 0.000000 9) 0.000000 0.000000 10) 0.000000 0.000000 11) 0.000000 0.000000 12) 0.000000 0.000000 13) 0.000000 0.000000 14) 0.000000 0.000000 15) 0.000000 0.000000 16) 0.000000 0.000000 17) 60000.000000 0.000000 18) 0.000000 1.000000 19) 30000.000000 0.000000 20) 0.000000 1.000000 21) 6000.000000 0.000000 22) 0.000000 1.000000 23) 128950.000000 0.000000 24) 200.000000 0.000000 25) 0.000000 0.000000 26) 0.000000 0.000000 27) 50.000000 0.000000 28) 0.000000 0.000000 29) 88840.000000 0.000000 30) 200.000000 0.000000 31) 0.000000 0.000000
  • 6. 32) 0.000000 0.000000 33) 200.000000 0.000000 34) 0.000000 0.000000 35) 0.000000 0.000000 36) 80.000000 0.000000 37) 0.000000 0.000000 38) 15380.000000 0.000000 39) 80.000000 0.000000 40) 0.000000 0.000000 NO. ITERATIONS= 15 RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGES VARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE D1 1.000000 INFINITY 1.000000 D2 1.000000 INFINITY 1.000000 D3 1.000000 INFINITY 1.000000 D11 0.000000 INFINITY 0.000000 D12 0.000000 0.000000 INFINITY D21 0.000000 0.000000 0.000000 D22 0.000000 0.000000 0.000000 D31 0.000000 0.000000 0.000000 D32 0.000000 0.000000 0.000000
  • 7. V11 0.000000 0.000000 INFINITY E11 0.000000 INFINITY 0.000000 V21 0.000000 0.000000 0.000000 E21 0.000000 0.000000 0.000000 V31 0.000000 0.000000 0.000000 E31 0.000000 0.000000 INFINITY V12 0.000000 0.000000 INFINITY E12 0.000000 0.000000 INFINITY E22 0.000000 0.000000 INFINITY V32 0.000000 0.000000 0.000000 E32 0.000000 0.000000 INFINITY C11 0.000000 INFINITY 0.000000 C12 0.000000 0.000000 INFINITY C1 0.000000 INFINITY INFINITY C21 0.000000 INFINITY 0.000000 C22 0.000000 0.000000 INFINITY C2 0.000000 INFINITY INFINITY C31 0.000000 INFINITY 0.000000 C32 0.000000 0.000000 INFINITY C3 0.000000 INFINITY INFINITY IO11 0.000000 0.000000 0.000000 IF11 0.000000 0.000000 INFINITY IO12 0.000000 0.000000 INFINITY IF12 0.000000 0.000000 0.000000 IO21 0.000000 0.000000 0.000000 IF21 0.000000 0.000000 INFINITY IO22 0.000000 0.000000 INFINITY
  • 8. IF22 0.000000 0.000000 INFINITY IO31 0.000000 0.000000 INFINITY IF31 0.000000 0.000000 INFINITY IO32 0.000000 0.000000 0.000000 IF32 0.000000 0.000000 INFINITY RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 0.000000 INFINITY 128950.000000 3 0.000000 INFINITY 88840.000000 4 0.000000 INFINITY 15380.000000 5 0.000000 INFINITY 130000.000000 6 0.000000 INFINITY 89740.000000 7 0.000000 INFINITY 570.000000 8 0.000000 0.000000 150.000000 9 0.000000 89740.000000 130.000000 10 0.000000 INFINITY 15430.000000 11 0.000000 128950.000000 900.000000 12 900.000000 128950.000000 900.000000 13 0.000000 88840.000000 900.000000 14 900.000000 88840.000000 900.000000 15 0.000000 15380.000000 520.000000 16 520.000000 15380.000000 520.000000 17 70000.000000 60000.000000 INFINITY 18 130000.000000 INFINITY 60000.000000 19 60000.000000 30000.000000 INFINITY
  • 9. 20 90000.000000 INFINITY 30000.000000 21 10000.000000 6000.000000 INFINITY 22 16000.000000 INFINITY 6000.000000 23 150.000000 128950.000000 INFINITY 24 200.000000 INFINITY 200.000000 25 0.000000 INFINITY 128950.000000 26 150.000000 50.000000 150.000000 27 200.000000 INFINITY 50.000000 28 0.000000 150.000000 50.000000 29 130.000000 88840.000000 INFINITY 30 200.000000 INFINITY 200.000000 31 0.000000 INFINITY 88840.000000 32 130.000000 44870.000000 130.000000 33 200.000000 INFINITY 200.000000 34 0.000000 130.000000 44870.000000 35 50.000000 15380.000000 50.000000 36 80.000000 INFINITY 80.000000 37 0.000000 570.000000 15380.000000 38 50.000000 15380.000000 INFINITY 39 80.000000 INFINITY 80.000000 40 0.000000 INFINITY 15380.000000