ejecicios 1

z= 135 50sujeto a x y restriccion

2 0.5 <= 804 -1 <= 0

-6 1 <= 0

16 96

80-32

0

6960

z= 18 9sujeto a x y restriccion

24 8 <= 600001 0 <= 20000 1 <= 6000

500 6000

60000500

6000

63000

z= 12000 9000sujeto a x y restriccion

-200 100 <= 02.1 0.9 <= 20

5.12820513 10.2564103

020

153846.154

z= 8 6sujeto a x y restriccion

1 1 >= 201 0 >= 51 0 < = 120 1 >= 60 1 < = 10

10 10

2010101010

140

z= 120 80sujeto a x y restriccion

1 0 <= 400 1 <= 10

20 10 <= 500

20 10

2010

500

3200

z= 200 300sujeto a x y restriccion

1 1 = 900.01 0.02 >= 0.90.09 0.6 >= 270.02 0.06 <= 4.5

52.9411765 37.0588235

901.27058824

273.28235294

21705.8824

z= 600 800 700 400 900sujeto a A1 A2 A3 B1 B2

1 11 1

11 1 1

1 1

0 200 200 300 0

600B3 restriccion

= 300 300 = 200 200

1 = 400 400 = 400 400

1 = 500 500

200 540000

z= 2.5 1.45sujeto a x y restriccion

2 1 >= 703 2 >= 120

20 30

70120

93.5

z= 0.1 0.08sujeto a x y restriccion

1 1 < = 2100001 < = 130000

1 >= 600001 -2 <= 0

130000 80000

210000130000

80000-30000

19400

z= 250 200sujeto a x y restriccion

-1 1 >= 0-2 1 < = 01 < = 30

1 < = 20

20 20

0-202020

9000

z= 30 40sujeto a x y restriccion

20 30 >= 300040 30 >= 4000

50 66.6666667

30004000

4166.66667

z= 1500 1000sujeto a x y restriccion

10 15 <= 1952 1 < = 201 1 < = 14

6 8

1802014

17000

z= 26,666.67 27,000.00 -4,000,000.00sujeto a x y restriccion

0.33 0.4 <= 2000.67 0.6 <= 350

285.714286 264.285714

z= 26666.67 27000 -4000000sujeto a x y restriccion

200 1/3 2/5 <=350 2/3 3/5 <=

10754762.9 285.714286 264.285714

200 200350 350

10754762.9

z= 2400 2500 2000 1900sujeto a x y z w restriccion

1 1 =1 1 =

1 <=1 <=

1 <=1 <=

1 1 <=1 1 <=

1 1 1 1 =

30 10 10 50

40 4060 6030 3030 1060 1050 5070 4070 60

100 100

212000

z= 400 400 400 300 300sujeto a A1 A2 A3 T1 T2

1 11 1

13 2

3 23

1 1 11 1

600 -400 600 -400300 -400 300

300 -600 300

75 0 75 150 350

300 200 200 200T3 M1 M2 M3 Restricción

1 <= 4001 <= 600

1 1 <= 3001 <= 600

1 <= 8002 1 <= 375

<= 6001 <= 500

1 1 1 <= 325600 -400 = 0

-400 300 -400 = 0-600 300 -600 = 0

0 75 100 150

TOTALES 300450225600800375150500325

000

275000