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7/25/2019 examen invope.xlsx
1/22
G1 G2 G3 M1
518 0 0 163
420 420 420 360
Sujeto a:
1 1
1
120 15
20
20
1 1 1
1
900 -750 900
450 -750 450
450 -900
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M2 M3 C1 C2 C3
667 0 9 161 414
360 360 300 300 300 691560
1 690
1 1 828
1 1 41412 12913
15 12 11937
15 12 4968
518
1 1 830
1 1 1 584
-750 900 -750 0
-750 450 -750 0
450 -900 450 -900 0
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XA11 XA12 XA13 XA14 XA22 XA23 XA24 XA33 XA34
1 0 0 0 0 0 0 0 0 0
1625 0 -4 -8 -12 0 -4 -8 0 -4
s.a
1
1 1
1 1 1
1 1 1
0.5 0.5 0.5 0.5
0.5 0.5 0.5
0.5 0.5
1 1 1 1
1 1 1
1 1
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XA44 XB11 XB12 XB13 XB14 XB22 XB23 XB24 XB33 XB34
0 0 0 0 0 0 0 0 0 0
0 0 -4 -8 -12 0 -4 -8 0 -4
1
1 1
1 1 1
1
1 1 1
0.75 0.75 0.75 0.75
0.75 0.75 0.75
0.75 0.75
0.5
1
1 1 1 1
1 1 1
1 1
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XB44 YA1 YA2 YA3 YA4 YB1 YB2 YB3 YB4
0 1 1 1 1 0 0 0 0
0 -200 -200 -200 -200 -400 -400 -400 -400 825
0
0
0
0
0
0
0
1 0
1 1 1
1 1 1
1 1 1
1 1 1
5 10 5
5 10 5
5 10 5
0.75 5 10 5
-335 -335
-225 -225
-155 -155
-80 -80
-115 0
-100 0
-80 0
1 -30 0
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80
15
100
20
75
50
80
30
= 1= 1
= 1
= 1
80
80
80
80
0
0
0
0
0
0
0
0
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RESUL!"#S $#S%&LES $R#&!&%L%"!" RE'"%M%E'# 'E#
$o(o )e*o +$S, 02 -100000
$o(o .e /a) +$G, 04 40000
$eteo /a) +$G$, 03 90000
$o(o .e eteo +$$, 01 200000
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RESU!"# $L!C! !R%!"# #'"UL!"#
#!L $+$, $+, $+#,+$, +, +#,
Se*o +S, 8 2 0 10 08 02 0
Ga) +G, 2 16 2 20 01 08 01
Ga) eteo +G$, 0 14 1 15 0 09333 0067
$eteo +$, 0 0 5 5 0 0 1ota 10 32 8 50
$oa.a. 02 064 016
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$+SGG$$$, $+SGG$$, $+SGG$$#,
08 00625 0
02 05 025
0 04375 0125
0 0 0625
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M S
200 200 200 0 0 0 0 0
0 0 1 1 1 0 0 1
Meta):
10 5 1 -1
1 05 1
1 -1
1
1
U1
V1
U2 V
2 U
3 V
3
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0 0 50 0
1 0 0 1 200
3200 = 3200
300 = 300
200 = 200
1 -1 200 = 200
1 -1 250 = 250
U4 V
4 U
5 V
5
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! & U1 U2 1
6 0 0 0 0
-200 -200 0 1 1
S!400 600 1 -1
20 40 1
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2
0
0 -1200
2400 = 2400
-1 120 = 120
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;C ;M
40 20
0 0
Sujeto a:5 3
9 6
1
1
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;EC U1 U2 U3 U4 U5 1 2 3 4 5
100 15240 1720 0 0 0 0 0 0 0 0
0 0000625 0000371 0 0 0 0 0 001 0025 005
5 1 -1
5 1 -1
1 1 -1
1 -1
1 -1
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10163
16000 16000
2700 2700
100 100
40 40
20 20
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;1 ;2 ;3 U1 1 U2 2 U3
0 100 0 0 0 0 500 0
0 0 0 10 0 6 0 4
Meta):
60 50 40 1 -1
20 35 20 1 -1
20 15 40 1
400 300 250
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3 U4 4
500 0 2000
0 0 1 2000
5000 = 5000 C) E*ee>te)
3000 = 3000 C) &ue>o)
-1 1000 = 1000 C) Me.o*e)
1 -1 28000 = 28000 $e)uue)to
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;1 ;2 U1
0 34 132000 0 0
300 200 1
2 064
150 100
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U2 U3 1 2 3
024 7600 0 0 00 04 02 1000 0 3040
S!
-1 20000
1 -1 22
1 -1 11000
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= 20000
= 22
= 11000