Io practica 3 dualidad y sensibilidad

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ejercicios resueltos en lindo

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Io practica 3 dualidad y sensibilidad

  1. 1. Practica de IOPregunta 1LP OPTIMUM FOUND AT STEP 1 OBJECTIVE FUNCTION VALUE 1) 8.000000 VARIABLE VALUE REDUCED COST X1 4.000000 0.000000 X2 0.000000 0.666667 ROW SLACK OR SURPLUS DUAL PRICES 2) 0.000000 0.000000 3) 0.000000 0.666667NO. ITERATIONS= 1RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGESVARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE X1 2.000000 INFINITY 0.500000 X2 2.000000 0.666667 INFINITY RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 8.000000 INFINITY 0.000000 3 12.000000 0.000000 12.000000PREGUNTA 2LP OPTIMUM FOUND AT STEP 1 OBJECTIVE FUNCTION VALUE 1) 100.0000 VARIABLE VALUE REDUCED COST X1 0.000000 7.000000 X2 0.000000 6.000000 X3 10.000000 0.000000
  2. 2. ROW SLACK OR SURPLUS DUAL PRICES 2) 0.000000 10.000000 3) 15.000000 0.000000NO. ITERATIONS= 1RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGESVARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE X1 3.000000 7.000000 INFINITY X2 4.000000 6.000000 INFINITY X3 10.000000 INFINITY 6.000000 RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 10.000000 INFINITY 10.000000 3 15.000000 INFINITY 15.000000PREGUNTA 3LP OPTIMUM FOUND AT STEP 1 OBJECTIVE FUNCTION VALUE 1) 36.00000VARIABLE VALUE REDUCED COST X1 0.000000 2.000000 X2 0.000000 4.000000 X3 12.000000 0.000000 X4 0.000000 2.000000 ROW SLACK OR SURPLUS DUAL PRICES 2) 0.000000 3.000000 3) 6.000000 0.000000 4) 4.000000 0.000000NO. ITERATIONS= 1RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGESVARIABLE CURRENT ALLOWABLE ALLOWABLE
  3. 3. COEF INCREASE DECREASE X1 1.000000 2.000000 INFINITY X2 2.000000 4.000000 INFINITY X3 3.000000 INFINITY 1.000000 X4 4.000000 2.000000 INFINITY RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 12.000000 INFINITY 12.000000 3 6.000000 INFINITY 6.000000 4 4.000000 INFINITY 4.000000PREGUNTA 5LP OPTIMUM FOUND AT STEP 2 OBJECTIVE FUNCTION VALUE 1) 25.00000VARIABLE VALUE REDUCED COST X1 15.000000 0.000000 X2 5.000000 0.000000 X3 0.000000 1.500000 ROW SLACK OR SURPLUS DUAL PRICES 2) 10.000000 0.000000 3) 0.000000 1.500000 4) 0.000000 0.500000NO. ITERATIONS= 2RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGESVARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE X1 2.000000 INFINITY 1.000000 X2 -1.000000 1.000000 1.000000 X3 1.000000 1.500000 INFINITY RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 60.000000 INFINITY 10.000000 3 10.000000 10.000000 30.000000
  4. 4. 4 20.000000 5.000000 10.000000PREGUNTA 6LP OPTIMUM FOUND AT STEP 2 OBJECTIVE FUNCTION VALUE 1) 445000.0VARIABLE VALUE REDUCED COST X1 10000.000000 0.000000 X2 12500.000000 0.000000 X3 0.000000 21.799999 ROW SLACK OR SURPLUS DUAL PRICES 2) 75.000000 0.000000 3) 0.000000 35.000000 4) 0.000000 250.000000 5) 4500.000000 0.000000NO. ITERATIONS= 2RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGESVARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE X1 16.000000 12.500000 1.750000 X2 22.799999 2.800000 10.000000 X3 12.400000 21.799999 INFINITY RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 1200.000000 INFINITY 75.000000 3 2000.000000 200.000000 500.000000 4 1500.000000 300.000000 180.000000 5 8000.000000 4500.000000 INFINITYPREGUNTA 7LP OPTIMUM FOUND AT STEP 2 OBJECTIVE FUNCTION VALUE
  5. 5. 1) 11.00000VARIABLE VALUE REDUCED COST X1 4.000000 0.000000 X2 5.000000 0.000000 X3 0.000000 2.400000 ROW SLACK OR SURPLUS DUAL PRICES 2) 0.000000 0.200000 3) 0.000000 0.800000 4) 11.000000 0.000000NO. ITERATIONS= 2RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGESVARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE X1 -1.000000 INFINITY 0.500000 X2 3.000000 INFINITY 1.000000 X3 -2.000000 2.400000 INFINITY RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 7.000000 INFINITY 10.000000 3 12.000000 22.000000 16.666666 4 10.000000 INFINITY 11.000000PREGUNTA 8LP OPTIMUM FOUND AT STEP 3 OBJECTIVE FUNCTION VALUE 1) 131.0000VARIABLE VALUE REDUCED COST X1 2.000000 0.000000 X2 30.000000 0.000000 X3 1.000000 0.000000 ROW SLACK OR SURPLUS DUAL PRICES 2) 0.000000 0.857143 3) 0.000000 2.428571
  6. 6. 4) 0.000000 0.714286NO. ITERATIONS= 3RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGESVARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE X1 4.000000 8.500000 5.000000 X2 4.000000 INFINITY 3.000000 X3 3.000000 3.000000 5.666667 RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 10.000000 3.500000 13.999999 3 31.000000 7.000000 2.333333 4 66.000000 7.000000 13.999999PREGUNTA 9LP OPTIMUM FOUND AT STEP 2 OBJECTIVE FUNCTION VALUE 1) 76.66666VARIABLE VALUE REDUCED COST X1 0.000000 1.833333 X2 6.666667 0.000000 X3 16.666666 0.000000 ROW SLACK OR SURPLUS DUAL PRICES 2) 0.000000 0.833333 3) 0.000000 0.666667 4) 26.666666 0.000000NO. ITERATIONS= 2RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGESVARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE X1 2.000000 1.833333 INFINITY
  7. 7. X2 4.000000 2.000000 2.500000 X3 3.000000 5.000000 1.000000 RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 60.000000 39.999996 19.999998 3 40.000000 19.999998 24.999998 4 80.000000 INFINITY 26.666666PREGUNTA 10LP OPTIMUM FOUND AT STEP 1 OBJECTIVE FUNCTION VALUE 1) 1200.000VARIABLE VALUE REDUCED COST X1 0.000000 0.740000 X2 800.000000 0.000000 ROW SLACK OR SURPLUS DUAL PRICES 2) 0.000000 150.000000 3) 200.000000 0.000000 4) 400.000000 0.000000NO. ITERATIONS= 1RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGESVARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE X1 0.010000 0.740000 INFINITY X2 1.500000 INFINITY 1.480000 RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 8.000000 2.000000 4.000000 3 1000.000000 INFINITY 200.000000 4 400.000000 400.000000 INFINITYPREGUNTA 11

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