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3) −350
1
450 1 − 350 2 − 100 3 = −10 + 1320 2 − 520 3 = 0
−100 1 − 520 2 + 1620
1
3
=0
350
=
2
+ 100
− 10
3
2
450
350
=
1
+ 520
3
+0
1320
Iteración #1
2
350 0 + 100(0) − 10
=
3
1
=0
=
3
= -0.02222222
450
100
1+
520
2
+0
1620
=0
−0.00589226 = −0.00589226 =
1
-0.00589226 350(−0.02222222) + 520(0) 2=
=
1320
-0.00326308
100(−0.022222 ) + 520(−0.005892)
3=
=
1620
1 1
Iteración #2
-0.02222222
= 1
2
-0.00589226
=
1
=
-0.00326308 -0.02753022
3
1=
350 −0.00589226
+ 100(−0.00326308 ) − 10 450
2
350(−0.02753022 ) + 520(−0.00326308 )
=
100( −0.02753022 ) + 520(−0.00858514 ) 1620
Iteración #3
3
0.31366773
-0.02988958
+ 100(−5.84633536 ) − 10 450
2
−0.00269288 = −0.00858514 =
-0.00445512
2=
350 −9.63686161
-0.00445512
-0.00858514
2=
2
3
=
=
-0.00858514
=
-0.02753022 2
1
1
=
1320
3=
=
=
-0.00968031
=
350(−8.81674467 ) + 520(−5.84633536 )
=
100( −8.81674467 ) + 520(−4.64087502 )
1320
1620
3 1
Solución
3 2
3 3 =
=
=
= =
-0.02988958 -0.00968031 -0.0049523
-0.0049523
−0.00235936 = −0.02988958 =
0.07893585
-0.00235936 -0.00109518
-0.005308 2
− 1 = -0.00269288
3
-0.00119204
2)
−2=
-0.00049718
4800 − 25 − 25 2
=
55
1 + 25 2 +
25
1
3 = 4800
15 1 + 30 2 + 55 3 = 5700
1
3
=0
2
1
=
45
5700 − 15(0) − 30(0)
0
0 3
=128.888889
1 1
=
1 2
3
2 1
45
5700 − 15(−18.4205693 ) − 30(24.6464646 ) 55
2 2
-105.693297 − 0=
-104.242424 -94.1046832
136.932966
=
95.2166291
95.2166291
90.1577761 2
− 1=
112.286501 =
136.932966 =0.82001073
=
2 3 =
= 136.932966
= −4.28837556
71.7372068
5800 − 30(−18.4205693 ) − 20(9.53168044 )
=
24.6464646
= 9.53168044
=
55
= 71.7372068
1
1 3
= 24.6464646
4800 − 25(24.6464646 ) − 25(9.53168044 )
2=
−105.693297 =
=
55
=
24.6464646
9.53168044
5700 − 15(87.2727273 ) − 30(128.888889 )
= −18.4205693
1
= 103.636364
=
5800 − 30(87.2727273 ) − 20(103.636364 )
=
55
-18.4205693
45
3
2
103.6363636
55
2
− 30
128.8888889
4800 − 25(128.888889 ) − 25(103.636364 ) =
1
=0
2
=
45
=
55
= 87.2727273
5700 − 15
=
1 − 20 3
87.27272727 =
5800 − 30(0) − 20(0)
3=
0
3
55
2=
1
=0
4800 − 25(0) − 25(0)
=
=
2
55
30 1 + 45 2 + 20 3 = 5800
1
5800 − 30
3
112.286501 85.6849487
1)
120 1 − 20 2 = 400 80
1
− 80
2
40 1 + 60 2 − 120
=0
= −200
3
120
−20
80
−80
40
80
1
1
0
−200 3
0
−200 3
1 0
0
0
6
1
0
1
2
6
3
3
=5
3
−800/3
4
3
6
0 0
10
4
3
−120 −600
= 10
3
2=4 −120 3= −600
60 1 − 40 2 = 200
=0
1
2
+ 130 3 = 230
40
=
2
+ 200
3.3333333 =
=
−120 −1000/3
−1
−100
0
10
0
0
4)
=4
3
−120 −1000/3
0
1
2
2=4
10
0
=
−200
1
0
−3
200
3−1
10 3
6
1
0
3
0
−200 3
1
3 = 3 − 40 1
−120 −200
1
1
0
2 = 2 − 80 1 2
0
60
1
120 = 1
−120 −200
6
−80
400
0
60
40
−40 1 + 150 2 − 100
0
1
0
1.76923077
60
2
3.33333333
=
40
2
+ 100
3
3
150
=
100
2
+ 230 130
0 1.76923077 3.33333333
1
2
=
=
40(0) + 200 60
40(3.33333333) + 100(1.76923077) 150
=
1.76923077 3
2.06837607 =
=
100(0) + 230 130
=
1
450 1 − 350 2 − 100 3 = −10 + 1320 2 − 520 3 = 0
−100 1 − 520 2 + 1620
1
3
=0
350
=
2
+ 100
− 10
3
2
450
350
=
1
+ 520
3
+0
1320
Iteración #1
2
350 0 + 100(0) − 10
=
3
1
=0
=
3
= -0.02222222
450
100
1+
520
2
+0
1620
=0
−0.00589226 = −0.00589226 =
1
-0.00589226 350(−0.02222222) + 520(0) 2=
=
1320
-0.00326308
100(−0.022222 ) + 520(−0.005892)
3=
=
1620
1 1
Iteración #2
-0.02222222
= 1
2
-0.00589226
=
1
=
-0.00326308 -0.02753022
3
1=
350 −0.00589226
+ 100(−0.00326308 ) − 10 450
2
350(−0.02753022 ) + 520(−0.00326308 )
=
100( −0.02753022 ) + 520(−0.00858514 ) 1620
Iteración #3
3
0.31366773
-0.02988958
+ 100(−5.84633536 ) − 10 450
2
−0.00269288 = −0.00858514 =
-0.00445512
2=
350 −9.63686161
-0.00445512
-0.00858514
2=
2
3
=
=
-0.00858514
=
-0.02753022 2
1
1
=
1320
3=
=
=
-0.00968031
=
350(−8.81674467 ) + 520(−5.84633536 )
=
100( −8.81674467 ) + 520(−4.64087502 )
1320
1620
3 1
Solución
3 2
3 3 =
=
=
= =
-0.02988958 -0.00968031 -0.0049523
-0.0049523
−0.00235936 = −0.02988958 =
0.07893585
-0.00235936 -0.00109518
-0.005308 2
− 1 = -0.00269288
3
-0.00119204
2)
−2=
-0.00049718
4800 − 25 − 25 2
=
55
1 + 25 2 +
25
1
3 = 4800
15 1 + 30 2 + 55 3 = 5700
1
3
=0
2
1
=
45
5700 − 15(0) − 30(0)
0
0 3
=128.888889
1 1
=
1 2
3
2 1
45
5700 − 15(−18.4205693 ) − 30(24.6464646 ) 55
2 2
-105.693297 − 0=
-104.242424 -94.1046832
136.932966
=
95.2166291
95.2166291
90.1577761 2
− 1=
112.286501 =
136.932966 =0.82001073
=
2 3 =
= 136.932966
= −4.28837556
71.7372068
5800 − 30(−18.4205693 ) − 20(9.53168044 )
=
24.6464646
= 9.53168044
=
55
= 71.7372068
1
1 3
= 24.6464646
4800 − 25(24.6464646 ) − 25(9.53168044 )
2=
−105.693297 =
=
55
=
24.6464646
9.53168044
5700 − 15(87.2727273 ) − 30(128.888889 )
= −18.4205693
1
= 103.636364
=
5800 − 30(87.2727273 ) − 20(103.636364 )
=
55
-18.4205693
45
3
2
103.6363636
55
2
− 30
128.8888889
4800 − 25(128.888889 ) − 25(103.636364 ) =
1
=0
2
=
45
=
55
= 87.2727273
5700 − 15
=
1 − 20 3
87.27272727 =
5800 − 30(0) − 20(0)
3=
0
3
55
2=
1
=0
4800 − 25(0) − 25(0)
=
=
2
55
30 1 + 45 2 + 20 3 = 5800
1
5800 − 30
3
112.286501 85.6849487
1)
120 1 − 20 2 = 400 80
1
− 80
2
40 1 + 60 2 − 120
=0
= −200
3
120
−20
80
−80
40
80
1
1
0
−200 3
0
−200 3
1 0
0
0
6
1
0
1
2
6
3
3
=5
3
−800/3
4
3
6
0 0
10
4
3
−120 −600
= 10
3
2=4 −120 3= −600
60 1 − 40 2 = 200
=0
1
2
+ 130 3 = 230
40
=
2
+ 200
3.3333333 =
=
−120 −1000/3
−1
−100
0
10
0
0
4)
=4
3
−120 −1000/3
0
1
2
2=4
10
0
=
−200
1
0
−3
200
3−1
10 3
6
1
0
3
0
−200 3
1
3 = 3 − 40 1
−120 −200
1
1
0
2 = 2 − 80 1 2
0
60
1
120 = 1
−120 −200
6
−80
400
0
60
40
−40 1 + 150 2 − 100
0
1
0
1.76923077
60
2
3.33333333
=
40
2
+ 100
3
3
150
=
100
2
+ 230 130
0 1.76923077 3.33333333
1
2
=
=
40(0) + 200 60
40(3.33333333) + 100(1.76923077) 150
=
1.76923077 3
2.06837607 =
=
100(0) + 230 130
=
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