1. EJERCICIO 1

2. LP OPTIMUM FOUND AT STEP 1
OBJECTIVE FUNCTION VALUE
1) 8.000000
El costo mínimo es de s/8
VARIABLE VALUE REDUCED COST
X1 1.000000 0.000000
El valor de x1 es 1
X2 1.000000 0.000000
El valor de x2 es 1
ROW SLACK OR SURPLUS DUAL PRICES
2) 0.000000 -3.000000
3) 3.000000 0.000000
4) 0.000000 -2.000000
NO. ITERATIONS= 1
RANGES IN WHICH THE BASIS IS UNCHANGED:
OBJ COEFFICIENT RANGES
VARIABLE CURRENT ALLOWABLE ALLOWABLE
COEF INCREASE DECREASE
X1 3.000000 2.000000 3.000000
X2 5.000000 INFINITY 2.000000

3. RIGHTHAND SIDE RANGES
ROW CURRENT ALLOWABLE ALLOWABLE
RHS INCREASE DECREASE
2 2.000000 3.000000 1.000000
3 4.000000 INFINITY 3.000000
4 1.000000 1.000000 1.000000

4. EJERCICIO 2:

5. LP OPTIMUM FOUND AT STEP 1
OBJECTIVEFUNCTIONVALUE
1) 1770.000
La utilidad maximaes 1770 dólares
VARIABLE VALUE REDUCED COST
X11 1000.000000 0.000000
Numero de libras: 1000 libras de trigo se destina para el alimento 1
X21 250.000000 0.000000
250 libras de alfalfa se destinan para el alimento 1
X12 0.000000 0.250000
0 libras de trigo se destinan para el alimento 2
X22 550.000000 0.000000
550 libras de alfalfa se destinan para el alimento 2
ROW SLACK OR SURPLUS DUAL PRICES
2) 0.000000 1.050000
3) 0.000000 0.900000
4) 0.000000 -0.250000
5) 70.000000 0.000000
6) 1200.000000 0.000000
7) 500.000000 0.000000

6. NO. ITERATIONS= 1
RANGES IN WHICH THE BASIS IS UNCHANGED:
OBJ COEFFICIENT RANGES
VARIABLE CURRENT ALLOWABLE ALLOWABLE
COEF INCREASE DECREASE
X11 1.000000 INFINITY 0.250000
X21 1.100000 INFINITY 0.200000
X12 0.800000 0.250000 INFINITY
X22 0.900000 0.200000 0.900000
RIGHTHAND SIDE RANGES
ROW CURRENT ALLOWABLE ALLOWABLE
RHS INCREASE DECREASE
2 1000.000000 280.000000 960.000000
3 800.000000 INFINITY 175.000000
4 0.000000 200.000000 56.000000
5 0.000000 70.000000 INFINITY
6 50.000000 1200.000000 INFINITY
7 50.000000 500.000000 INFINITY

7. EJERCICIO 3

8. LP OPTIMUM FOUND AT STEP 1
OBJECTIVE FUNCTION VALUE
1) 225.0000
VARIABLE VALUE REDUCED COST
X11 0.000000 0.650000
X21 0.000000 0.670000
X12 150.000000 0.000000
X22 0.000000 0.850000
ROW SLACK OR SURPLUS DUAL PRICES
2) 0.000000 1.500000
3) 210.000000 0.000000
NO. ITERATIONS= 1
RANGES IN WHICH THE BASIS IS UNCHANGED:
OBJ COEFFICIENT RANGES
VARIABLE CURRENT ALLOWABLE ALLOWABLE
COEF INCREASE DECREASE
X11 0.850000 0.650000 INFINITY

9. X21 -0.670000 0.670000 INFINITY
X12 1.500000 INFINITY 0.650000
X22 -0.850000 0.850000 INFINITY
RIGHTHAND SIDE RANGES
ROW CURRENT ALLOWABLE ALLOWABLE
RHS INCREASE DECREASE
2 150.000000 INFINITY 150.000000
3 210.000000 INFINITY 210.000000