9 metodo simplex mayor maximizacion
DESCRIPTION
simplexTRANSCRIPT
Diapositiva 1
METODO SIMPLEXCaso en que las restricciones sondel tipo >Luis Medina AquinoPROBLEMAFORMA CANONICAMaximizar Z = 2 X1 + 4 X2 + 3 X3Sujeto a:
- X1+ X2 + 2 X3 9
6 X1 2 X2 + 2 X3 = 6
2 X1 + 2 X2 + X3 4
X1, X2, X3 0
PROBLEMAFORMA CANONICAMaximizar Z = 2 X1 + 4 X2 + 3 X3Sujeto a:
- X1+ X2 + 2 X3 9 (S1)
6 X1 2 X2 + 2 X3 = 6 (a1)
2 X1 + 2 X2 + X3 4 (-S2, a2) X1, X2, X3 0
PROBLEMAMaximizar Z = 2 X1 + 4 X2 + 3 X3Sujeto a:
- 1 X1 + 1 X2 + 2 X3 < 9 (S1)
6 X1 - 2 X2 + 2 X3 = 6 (a1)
2 X1 + 2 X2 + 1 X3 > 4 (-S2, a2)
X1, X2, X3 0
FORMA ESTANDARMaximizar Z = 2 X1 + 4 X2 + 3 X3 + 0 S1 + 0 S2 - M a1 - M a2Sujeto a:
-1 X1 + 1 X2 + 2 X3 + 1 S1 + 0 S2 + 0 a1 + 0 a2 = 9
6 X1 - 2 X2 + 2 X3 + 0 S1 + 0 S2 + 1 a1 + 0 a2 = 6
2 X1 + 2 X2 + 1 X3 + 0 S1 1 S2 + 0 a1 + 1 a2 = 4
X1, X2, X3, S1, S2, a1, a2 0
Cj-Zj < 0Maximizar Z = 2 X1 + 4 X2 + 3 X3 + 0 S1 + 0 S2 - M a1 - M a2Sujeto a:-1 X1 + 1 X2 + 2 X3 + 1 S1 + 0 S2 + 0 a1 + 0 a2 = 9
6 X1 - 2 X2 + 2 X3 + 0 S1 + 0 S2 + 1 a1 + 0 a2 = 6
2 X1 + 2 X2 + 1 X3 + 0 S1 1 S2 + 0 a1 + 1 a2 = 4
X1, X2, X3, S1, S2, a1, a2 0
R01R02R03Cj-Zj < 0
R01R02R03Cj-Zj < 0
R01R02R03Cj-Zj < 0
R01R02R03Cj-Zj < 0Columna pivote
R01R02R03
No6/6 = 1
4/2 = 2
Cj-Zj < 0Columna pivote
R01R02R03
No6/6 = 1 4/2 = 2
Cj-Zj < 0Columna pivote
R01R02R03
Fila
pivote
Cj-Zj < 0Columna pivote
R01R02R03Cj-Zj < 0
01R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 0
01R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 0
01R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 0
01R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 001 0 1 11 2
1= R
+ 1 R
+ R1
1101R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 001 0 1 11 2
1= R
+ 1 R
+ R1
1101R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 001 0 1 11 2
1= R
+ 1 R
+ R1
R101R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 001 0 1 11 2
1= R
+ 1 R
+ R1
R101R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 0R13= R03 - 2 R12
03-2 R1
1301R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 0R13= R03 - 2 R12
03-2 R1
1301R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 0R13= R03 - 2 R12
03-2 R1
R101R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 0R13= R03 - 2 R12
03-2 R1
R101R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 0
01R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 0
01R0203ITERACION 1
Cj-Zj < 0
11R1213Cj-Zj < 0
01R0203ITERACION 1
Cj-Zj < 0
11R1213
10/(2/3)=15
No2/(8/3) = 3/4
Cj-Zj < 0
01R0203ITERACION 1
Cj-Zj < 0
11R1213
10/(2/3)=15
No2/(8/3) =
Cj-Zj < 0
01R0203ITERACION 1
Cj-Zj < 0
11R1213
Cj-Zj < 0
Fila pivote
11R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0
11R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0
11R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0
11R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0
11R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0
11R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0R21= R1
-2/3 R23
11-2/3 R2
2111R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0R21= R1
-2/3 R23
11-2/3 R2
2111R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0R21= R1
-2/3 R23
11-2/3 R2
R211R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0R21= R1
-2/3 R23
11-2/3 R2
R211R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0R22= R12 +1/3 R23
12+1/3 R2
2211R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0R22= R12 +1/3 R23
12+1/3 R2
2211R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0R22= R12 +1/3 R23
12+1/3 R2
R211R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0R22= R12 +1/3 R23
12+1/3 R2
R211R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0
11R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0
11R1213ITERACION 2
Cj-Zj < 0
21R2223Cj-Zj < 0
11R1213ITERACION 2
Cj-Zj < 0
21R2223
(19/2)/(1/4) NoNo
Cj-Zj < 0
11R1213ITERACION 2
Cj-Zj < 0
21R2223
38 NoNo
Cj-Zj < 0
11R1213ITERACION 2
Cj-Zj < 0
21R2223
Fila
pivote
Cj-Zj < 0
212223ITERACION 2
Cj-Zj < 0
21R2223
Fila
pivote
Cj-Zj < 0
212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0
212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0
212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0
212223ITERACION 3
Cj-Zj < 0
313233
R31 = R21 x 4
Cj-Zj < 0
212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0R32= R22 +1/8 R31
22+1/8 R3
32212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0R32= R22 +1/8 R31
22+1/8 R3
32212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0R32= R22 +1/8 R31
22+1/8 R3
R3212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0R32= R22 +1/8 R31
22+1/8 R3
R3212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0R33= R23 +3/8 R31
23+3/8 R3
33212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0R33= R23 +3/8 R31
23+3/8 R3
33212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0R33= R23 +3/8 R31
23+3/8 R3
R3212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0R33= R23 +3/8 R31
23+3/8 R3
R3212223ITERACION 3
Cj-Zj < 0
313233Cj-Zj < 0
212223ITERACION 3
Cj-Zj < 0
313233
Ya que todos los Cj Zj < 0 entonces la tabla es ptima. Lasolucin es: X1 = 6, X2 = 15 y s2 = 38, y el valor de Z = 72.
Cj-Zj < 0
Cj
2
4
3
0
0
-M
-M
CB
VB
X1
X2
X3s1s2a1a2
B-1
6
21
-2
22
2
11
0
00
0
-10
1
00
0
19
6
4Zj
Cj - Zj
Cj
2
4
3
0
0
-M
-M
CB
VB
X1
X2
X3s1s2a1a2
B
0
-M
-Ms1 a1 a2
-1
6
2
1
-2
2
2
2
1
1
0
0
0
0
-1
0
1
0
0
0
1
9
6
4Zj
Cj - Zj
Cj
2
4
3
0
0
-M
-M
CB
VB
X1
X2
X3s1s2a1a2
B
0
-M
-Ms1 a1 a2
-1
6
2
1
-2
2
2
2
1
1
0
0
0
0
-1
0
1
0
0
0
1
9
6
4Zj-8M0-3M0M-M-M
-10M
Cj - Zj
Cj
2
4
3
0
0
-M
-M
CB
VB
X1
X2
X3s1s2a1a2
B
0
-M
-Ms1 a1 a2
-1
6
2
1
-2
2
2
2
1
1
0
0
0
0
-1
0
1
0
0
0
1
9
6
4Zj-8M0-3M0M-M-M
-10M
Cj - Zj
2+8M
4
3+3M
0
-M
0
0
Cj
2
4
3
0
0
-M
-M
CB
VB
X1
X2
X3s1s2a1a2
B
0
-M
-Ms1 a1 a2
-1
6
2
1
-2
2
2
2
1
1
0
0
0
0
-1
0
1
0
0
0
1
9
6
4Zj-8M0-3M0M-M-M
-10M
Cj - Zj
2+8M
4
3+3M
0
-M
0
0
Cj
2
4
3
0
0
-M
-M
CB
VB
X1
X2
X3s1s2a1a2
B
0
-M
-Ms1 a1 a2
-1
6
2
1
-2
2
2
2
1
1
0
0
0
0
-1
0
1
0
0
0
1
9
6
4Zj-8M0-3M0M-M-M
-10M
Cj - Zj
2+8M
4
3+3M
0
-M
0
0
Cj
2
4
3
0
0
-M
-M
CB
VB
X1
X2
X3s1s2a1a2
B
0
-M
-Ms1 a1 a2
-1
6
2
1
-2
2
2
2
1
1
0
0
0
0
-1
0
1
0
0
0
1
9
6
4Zj-8M0-3M0M-M-M
-10M
Cj - Zj
2+8M
4
3+3M
0
-M
0
0
Cj
2
4
3
0
0
-M
-M
CB
VB
X1
X2
X3s1s2a1a2
B
0
-M
-Ms1 a1 a2
-1
1
2
1
0
0
0
9
6
-2
2
0
0
1
0
6
2
2
1
0
-1
0
1
4Zj-8M0-3M0M-M-M
-10M
Cj - Zj
2+8M
4
3+3M
0
-M
0
0
Cj
2
4
3
0
0
-M
-M
CB
VB
X1
X2
X3s1s2a1a2
B
0
-M
-Ms1 a1 a2
-1
1
2
1
0
0
0
9
6
-2
2
0
0
1
0
6
2
2
1
0
-1
0
1
4Zj-8M0-3M0M-M-M
-10M
Cj - Zj
2+8M
4
3+3M
0
-M
0
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a201
0
00
0
110ZjCj - Zj
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
01
0
00
0
1ZjCj - Zj
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
0
-1/3
1/31
0
0
0
1/60
0
1
1ZjCj - Zj
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
0
-1/3
1/31
0
0
0
1/60
0
1
1ZjCj - Zj
R
2
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
R
-11210009
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
0
-1/3
1/31
0
0
0
1/60
0
1
1ZjCj - Zj
R
2
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
R
-1
11
-1/32
1/31
00
00
1/60
09
1
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
0
-1/3
1/31
0
0
0
1/60
0
1
1ZjCj - Zj
R
-1
11
-1/32
1/31
00
00
1/60
09
102/37/3101/6010
2
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
1
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
02/3
-1/37/3
1/31
0
00
01/6
1/60
0
110
1ZjCj - Zj
R
-1
11
-1/32
1/31
00
00
1/60
09
102/37/3101/6010
2
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
1
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
02/3
-1/37/3
1/31
0
00
01/6
1/60
0
110
1ZjCj - Zj
R
2
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
R
2210-1014
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
02/3
-1/37/3
1/31
0
00
01/6
1/60
0
110
1ZjCj - Zj
R
2
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
R
2
-22
2/31
-2/30
0-1
00
-1/31
04
-2
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
02/3
-1/37/3
1/31
0
00
01/6
1/60
0
110
1ZjCj - Zj
2
-22
2/31
-2/30
0-1
00
-1/31
04
-208/31/30-1-1/312
R
2
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
3
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
02/3
-1/3
8/37/3
1/3
1/31
0
00
0
-11/6
1/6
-1/30
0
110
1
2ZjCj - Zj
2
-22
2/31
-2/30
0-1
00
-1/31
04
-208/31/30-1-1/312
R
2
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
3
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
02/3
-1/3
8/37/3
1/3
1/31
0
00
0
-11/6
1/6
-1/30
0
110
1
2Zj2
-2/3-8M/3
2/3-M/30M
1/3+M/3-M2-2MCj - Zj
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
02/3
-1/3
8/37/3
1/3
1/31
0
00
0
-11/6
1/6
-1/30
0
110
1
2Zj2
-2/3-8M/3
2/3-M/30M
1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
02/3
-1/3
8/37/3
1/3
1/31
0
00
0
-11/6
1/6
-1/30
0
110
1
2Zj2
-2/3-8M/3
2/3-M/30M
1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
02/3
-1/3
8/37/3
1/3
1/31
0
00
0
-11/6
1/6
-1/30
0
110
1
2Zj2
-2/3-8M/3
2/3-M/30M
1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
1
02/3
-1/3
8/37/3
1/3
1/31
0
00
0
-11/6
1/6
-1/30
0
110
1
2Zj2
-2/3-8M/3
2/3-M/30M
1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
-M
-Ms1 a1
a2-112100096-22001062210-1014Zj-8M0-3M0M-M-M-10MCj - Zj2+8M43+3M0-M00
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2BZjCj - Zj
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2ZjCj - Zj
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
01
0
01ZjCj - Zj
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
11
0
0ZjCj - Zj
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
1
1/81
0
0
-3/8
-1/8
3/8
3/4ZjCj - Zj
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
1
1/81
0
0
-3/8
-1/8
3/8
3/4ZjCj - Zj
1
R
3
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
02/37/3101/6010
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
1
1/81
0
0
-3/8
-1/8
3/8
3/4ZjCj - Zj
1
R
3
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
0
02/3
-2/37/3
-1/121
00
1/41/6
1/120
-1/410
-1/2
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
1
1/81
0
0
-3/8
-1/8
3/8
3/4ZjCj - Zj
1
0
02/3
-2/37/3
-1/121
00
1/41/6
1/120
-1/410
-1/2009/411/41/4-1/419/2
R
3
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
1
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
19/4
1/81
0
01/4
-3/81/4
-1/8-1/4
3/819/2
3/4ZjCj - Zj
1
0
02/3
-2/37/3
-1/121
00
1/41/6
1/120
-1/410
-1/2009/411/41/4-1/419/2
R
3
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
1
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
19/4
1/81
0
01/4
-3/81/4
-1/8-1/4
3/819/2
3/4ZjCj - Zj
R
3
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
1-1/31/3001/601
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
19/4
1/81
0
01/4
-3/81/4
-1/8-1/4
3/819/2
3/4ZjCj - Zj
R
3
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
1
0-1/3
1/31/3
1/240
00
-1/81/6
-1/240
1/81
1/4
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
19/4
1/81
0
01/4
-3/81/4
-1/8-1/4
3/819/2
3/4ZjCj - Zj
1
0-1/3
1/31/3
1/240
00
-1/81/6
-1/240
1/81
1/4103/80-1/81/81/85/4
R
3
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
2
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
19/4
3/8
1/81
0
01/4
-1/8
-3/81/4
1/8
-1/8-1/4
1/8
3/819/2
5/4
3/4ZjCj - Zj
1
0-1/3
1/31/3
1/240
00
-1/81/6
-1/240
1/81
1/4103/80-1/81/81/85/4
R
3
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
2
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
19/4
3/8
1/81
0
01/4
-1/8
-3/81/4
1/8
-1/8-1/4
1/8
3/819/2
5/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
19/4
3/8
1/81
0
01/4
-1/8
-3/81/4
1/8
-1/8-1/4
1/8
3/819/2
5/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
19/4
3/8
1/81
0
01/4
-1/8
-3/81/4
1/8
-1/8-1/4
1/8
3/819/2
5/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
19/4
3/8
1/81
0
01/4
-1/8
-3/81/4
1/8
-1/8-1/4
1/8
3/819/2
5/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X20
1
00
0
19/4
3/8
1/81
0
01/4
-1/8
-3/81/4
1/8
-1/8-1/4
1/8
3/819/2
5/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
-Ms1
X1 a20
12/3
-1/37/3
1/31
00
01/6
1/60
010
108/31/30-1-1/312Zj2-2/3-8M/32/3-M/30M1/3+M/3-M2-2M
Cj - Zj
0(14+8M)
3
7/3+M/3
0
-M
-1/3-4M/3
0
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2BZjCj - Zj
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X2ZjCj - Zj
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
110
0ZjCj - Zj
R
R
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
1941
0
01-138ZjCj - Zj
R
R
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
1941
0
01-138ZjCj - Zj
R
1
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
103/80-1/81/81/85/4
R
R
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
1941
0
01-138ZjCj - Zj
R
1
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
1
00
03/8
9/80
1/2-1/8
1/81/8
1/81/8
-1/85/4
19/4
R
R
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
1941
0
01-138ZjCj - Zj
1
00
03/8
9/80
1/2-1/8
1/81/8
1/81/8
-1/85/4
19/4103/21/201/406
R
1
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
2
R
R
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
19
3/24
1/21
0
01
1/4-1
038
6ZjCj - Zj
1
00
03/8
9/80
1/2-1/8
1/81/8
1/81/8
-1/85/4
19/4103/21/201/406
R
1
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
2
R
R
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
19
3/24
1/21
0
01
1/4-1
038
6ZjCj - Zj
R
1
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
011/80-3/8-1/83/83/4
R
R
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
19
3/24
1/21
0
01
1/4-1
038
6ZjCj - Zj
R
1
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
0
01
01/8
27/80
3/2-3/8
3/8-1/8
3/83/8
-3/83/4
57/4
R
R
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
19
3/24
1/21
0
01
1/4-1
038
6ZjCj - Zj
0
01
01/8
27/80
3/2-3/8
3/8-1/8
3/83/8
-3/83/4
57/4017/23/201/4015
R
1
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
3
R
R
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
19
3/2
7/24
1/2
3/21
0
01
1/4
1/4-1
0
038
6
15ZjCj - Zj
0
01
01/8
27/80
3/2-3/8
3/8-1/8
3/83/8
-3/83/4
57/4017/23/201/4015
R
1
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
3
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
19
3/2
7/24
1/2
3/21
0
01
1/4
1/4-1
0
038
6
15Zj2417703/2072Cj - Zj
R
R
R
R
R
R
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s2
X1
X20
1
00
0
19
3/2
7/24
1/2
3/21
0
01
1/4
1/4-1
0
038
6
15Zj2417703/2072Cj - Zj00-14-70-3/2-M-M
Cj24300-M-MCBVBX1X2X3s1s2a1a2B0
2
4s1
X1
X2009/411/41/4-1/419/21
00
13/8
1/80
0-1/8
-3/81/8
-1/81/8
3/85/4
3/4Zj245/40-7/4-1/47/411/2Cj - Zj007/407/4-M+1/4-M-7/4