ejecicios 1
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![Page 1: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/1.jpg)
z= 135 50sujeto a x y restriccion
2 0.5 <= 804 -1 <= 0
-6 1 <= 0
16 96
![Page 2: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/2.jpg)
80-32
0
6960
![Page 3: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/3.jpg)
![Page 4: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/4.jpg)
z= 18 9sujeto a x y restriccion
24 8 <= 600001 0 <= 20000 1 <= 6000
500 6000
![Page 5: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/5.jpg)
60000500
6000
63000
![Page 6: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/6.jpg)
![Page 7: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/7.jpg)
z= 12000 9000sujeto a x y restriccion
-200 100 <= 02.1 0.9 <= 20
5.12820513 10.2564103
![Page 8: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/8.jpg)
020
153846.154
![Page 9: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/9.jpg)
![Page 10: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/10.jpg)
z= 8 6sujeto a x y restriccion
1 1 >= 201 0 >= 51 0 < = 120 1 >= 60 1 < = 10
10 10
![Page 11: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/11.jpg)
2010101010
140
![Page 12: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/12.jpg)
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![Page 14: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/14.jpg)
z= 120 80sujeto a x y restriccion
1 0 <= 400 1 <= 10
20 10 <= 500
20 10
![Page 15: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/15.jpg)
2010
500
3200
![Page 16: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/16.jpg)
![Page 17: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/17.jpg)
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
![Page 18: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/18.jpg)
901.27058824
273.28235294
21705.8824
![Page 19: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/19.jpg)
![Page 20: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/20.jpg)
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
![Page 21: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/21.jpg)
600B3 restriccion
= 300 300 = 200 200
1 = 400 400 = 400 400
1 = 500 500
200 540000
![Page 22: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/22.jpg)
z= 2.5 1.45sujeto a x y restriccion
2 1 >= 703 2 >= 120
20 30
![Page 23: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/23.jpg)
70120
93.5
![Page 24: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/24.jpg)
![Page 25: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/25.jpg)
z= 0.1 0.08sujeto a x y restriccion
1 1 < = 2100001 < = 130000
1 >= 600001 -2 <= 0
130000 80000
![Page 26: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/26.jpg)
210000130000
80000-30000
19400
![Page 27: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/27.jpg)
![Page 28: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/28.jpg)
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z= 250 200sujeto a x y restriccion
-1 1 >= 0-2 1 < = 01 < = 30
1 < = 20
20 20
![Page 30: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/30.jpg)
0-202020
9000
![Page 31: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/31.jpg)
![Page 32: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/32.jpg)
z= 30 40sujeto a x y restriccion
20 30 >= 300040 30 >= 4000
50 66.6666667
![Page 33: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/33.jpg)
30004000
4166.66667
![Page 34: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/34.jpg)
![Page 35: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/35.jpg)
z= 1500 1000sujeto a x y restriccion
10 15 <= 1952 1 < = 201 1 < = 14
6 8
![Page 36: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/36.jpg)
1802014
17000
![Page 37: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/37.jpg)
![Page 38: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/38.jpg)
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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
![Page 40: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/40.jpg)
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
![Page 41: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/41.jpg)
200 200350 350
10754762.9
![Page 42: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/42.jpg)
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
![Page 43: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/43.jpg)
40 4060 6030 3030 1060 1050 5070 4070 60
100 100
212000
![Page 44: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/44.jpg)
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
![Page 45: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/45.jpg)
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
![Page 46: ejecicios 1](https://reader034.fdocuments.es/reader034/viewer/2022042503/577c82b51a28abe054b1ef96/html5/thumbnails/46.jpg)
TOTALES 300450225600800375150500325
000
275000