📄 exam0502.ltx
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MIN 400 Y_A_1 + 12 INV_A_1 + 400 Y_A_2 + 12 INV_A_2
+ 400 Y_A_3 + 12 INV_A_3 + 400 Y_A_4 + 12 INV_A_4
+ 400 Y_A_5 + 12 INV_A_5 + 400 Y_A_6 + 12 INV_A_6
+ 500 Y_B_1 + .6 INV_B_1 + 500 Y_B_2 + .6 INV_B_2
+ 500 Y_B_3 + .6 INV_B_3 + 500 Y_B_4 + .6 INV_B_4
+ 500 Y_B_5 + .6 INV_B_5 + 500 Y_B_6 + .6 INV_B_6
+ 1000 Y_C_1 + INV_C_1 + 1000 Y_C_2 + INV_C_2
+ 1000 Y_C_3 + INV_C_3 + 1000 Y_C_4 + INV_C_4
+ 1000 Y_C_5 + INV_C_5 + 1000 Y_C_6 + INV_C_6
+ 300 Y_D_1 + .04 INV_D_1 + 300 Y_D_2 + .04 INV_D_2
+ 300 Y_D_3 + .04 INV_D_3 + 300 Y_D_4 + .04 INV_D_4
+ 300 Y_D_5 + .04 INV_D_5 + 300 Y_D_6 + .04 INV_D_6
+ 200 Y_E_1 + .03 INV_E_1 + 200 Y_E_2 + .03 INV_E_2
+ 200 Y_E_3 + .03 INV_E_3 + 200 Y_E_4 + .03 INV_E_4
+ 200 Y_E_5 + .03 INV_E_5 + 200 Y_E_6 + .03 INV_E_6
+ 400 Y_F_1 + .04 INV_F_1 + 400 Y_F_2 + .04 INV_F_2
+ 400 Y_F_3 + .04 INV_F_3 + 400 Y_F_4 + .04 INV_F_4
+ 400 Y_F_5 + .04 INV_F_5 + 400 Y_F_6 + .04 INV_F_6
+ 100 Y_G_1 + .04 INV_G_1 + 100 Y_G_2 + .04 INV_G_2
+ 100 Y_G_3 + .04 INV_G_3 + 100 Y_G_4 + .04 INV_G_4
+ 100 Y_G_5 + .04 INV_G_5 + 100 Y_G_6 + .04 INV_G_6
SUBJECT TO
BAL_A_2) INV_A_1 + X_A_2 - INV_A_2 = 0
BAL_A_3) INV_A_2 + X_A_3 - INV_A_3 = 100
BAL_A_4) INV_A_3 + X_A_4 - INV_A_4 = 0
BAL_A_5) INV_A_4 + X_A_5 - INV_A_5 = 90
BAL_A_6) INV_A_5 + X_A_6 - INV_A_6 = 10
BAL_B_2)- 5 X_A_2 + INV_B_1 + X_B_2 - INV_B_2 = 0
BAL_B_3)- 5 X_A_3 + INV_B_2 + X_B_3 - INV_B_3 = 0
BAL_B_4)- 5 X_A_4 + INV_B_3 + X_B_4 - INV_B_4 = 0
BAL_B_5)- 5 X_A_5 + INV_B_4 + X_B_5 - INV_B_5 = 0
BAL_B_6)- 5 X_A_6 + INV_B_5 + X_B_6 - INV_B_6 = 0
BAL_C_2)- 7 X_A_2 + INV_C_1 + X_C_2 - INV_C_2 = 0
BAL_C_3)- 7 X_A_3 + INV_C_2 + X_C_3 - INV_C_3 = 0
BAL_C_4)- 7 X_A_4 + INV_C_3 + X_C_4 - INV_C_4 = 0
BAL_C_5)- 7 X_A_5 + INV_C_4 + X_C_5 - INV_C_5 = 0
BAL_C_6)- 7 X_A_6 + INV_C_5 + X_C_6 - INV_C_6 = 0
BAL_D_2)- 9 X_B_2 + INV_D_1 + X_D_2 - INV_D_2 = 0
BAL_D_3)- 9 X_B_3 + INV_D_2 + X_D_3 - INV_D_3 = 0
BAL_D_4)- 9 X_B_4 + INV_D_3 + X_D_4 - INV_D_4 = 0
BAL_D_5)- 9 X_B_5 + INV_D_4 + X_D_5 - INV_D_5 = 0
BAL_D_6)- 9 X_B_6 + INV_D_5 + X_D_6 - INV_D_6 = 0
BAL_E_2)- 11 X_B_2 + INV_E_1 + X_E_2 - INV_E_2 = 0
BAL_E_3)- 11 X_B_3 + INV_E_2 + X_E_3 - INV_E_3 = 0
BAL_E_4)- 11 X_B_4 + INV_E_3 + X_E_4 - INV_E_4 = 0
BAL_E_5)- 11 X_B_5 + INV_E_4 + X_E_5 - INV_E_5 = 0
BAL_E_6)- 11 X_B_6 + INV_E_5 + X_E_6 - INV_E_6 = 0
BAL_F_2)- 13 X_C_2 + INV_F_1 + X_F_2 - INV_F_2 = 0
BAL_F_3)- 13 X_C_3 + INV_F_2 + X_F_3 - INV_F_3 = 0
BAL_F_4)- 13 X_C_4 + INV_F_3 + X_F_4 - INV_F_4 = 0
BAL_F_5)- 13 X_C_5 + INV_F_4 + X_F_5 - INV_F_5 = 0
BAL_F_6)- 13 X_C_6 + INV_F_5 + X_F_6 - INV_F_6 = 0
BAL_G_2)- 15 X_C_2 + INV_G_1 + X_G_2 - INV_G_2 = 0
BAL_G_3)- 15 X_C_3 + INV_G_2 + X_G_3 - INV_G_3 = 0
BAL_G_4)- 15 X_C_4 + INV_G_3 + X_G_4 - INV_G_4 = 0
BAL_G_5)- 15 X_C_5 + INV_G_4 + X_G_5 - INV_G_5 = 0
BAL_G_6)- 15 X_C_6 + INV_G_5 + X_G_6 - INV_G_6 = 0
BA0_A_1) X_A_1 - INV_A_1 = 40
BA0_B_1)- 5 X_A_1 + X_B_1 - INV_B_1 = 0
BA0_C_1)- 7 X_A_1 + X_C_1 - INV_C_1 = 0
BA0_D_1)- 9 X_B_1 + X_D_1 - INV_D_1 = 0
BA0_E_1)- 11 X_B_1 + X_E_1 - INV_E_1 = 0
BA0_F_1)- 13 X_C_1 + X_F_1 - INV_F_1 = 0
BA0_G_1)- 15 X_C_1 + X_G_1 - INV_G_1 = 0
CAP_1) 5 X_B_1 + 8 X_C_1 <= 10000
CAP_2) 5 X_B_2 + 8 X_C_2 <= 0
CAP_3) 5 X_B_3 + 8 X_C_3 <= 5000
CAP_4) 5 X_B_4 + 8 X_C_4 <= 5000
CAP_5) 5 X_B_5 + 8 X_C_5 <= 1000
CAP_6) 5 X_B_6 + 8 X_C_6 <= 1000
51) X_A_1 - 25000 Y_A_1 <= 0
52) X_A_2 - 25000 Y_A_2 <= 0
53) X_A_3 - 25000 Y_A_3 <= 0
54) X_A_4 - 25000 Y_A_4 <= 0
55) X_A_5 - 25000 Y_A_5 <= 0
56) X_A_6 - 25000 Y_A_6 <= 0
57) X_B_1 - 25000 Y_B_1 <= 0
58) X_B_2 - 25000 Y_B_2 <= 0
59) X_B_3 - 25000 Y_B_3 <= 0
60) X_B_4 - 25000 Y_B_4 <= 0
61) X_B_5 - 25000 Y_B_5 <= 0
62) X_B_6 - 25000 Y_B_6 <= 0
63) X_C_1 - 25000 Y_C_1 <= 0
64) X_C_2 - 25000 Y_C_2 <= 0
65) X_C_3 - 25000 Y_C_3 <= 0
66) X_C_4 - 25000 Y_C_4 <= 0
67) X_C_5 - 25000 Y_C_5 <= 0
68) X_C_6 - 25000 Y_C_6 <= 0
69) X_D_1 - 25000 Y_D_1 <= 0
70) X_D_2 - 25000 Y_D_2 <= 0
71) X_D_3 - 25000 Y_D_3 <= 0
72) X_D_4 - 25000 Y_D_4 <= 0
73) X_D_5 - 25000 Y_D_5 <= 0
74) X_D_6 - 25000 Y_D_6 <= 0
75) X_E_1 - 25000 Y_E_1 <= 0
76) X_E_2 - 25000 Y_E_2 <= 0
77) X_E_3 - 25000 Y_E_3 <= 0
78) X_E_4 - 25000 Y_E_4 <= 0
79) X_E_5 - 25000 Y_E_5 <= 0
80) X_E_6 - 25000 Y_E_6 <= 0
81) X_F_1 - 25000 Y_F_1 <= 0
82) X_F_2 - 25000 Y_F_2 <= 0
83) X_F_3 - 25000 Y_F_3 <= 0
84) X_F_4 - 25000 Y_F_4 <= 0
85) X_F_5 - 25000 Y_F_5 <= 0
86) X_F_6 - 25000 Y_F_6 <= 0
87) X_G_1 - 25000 Y_G_1 <= 0
88) X_G_2 - 25000 Y_G_2 <= 0
89) X_G_3 - 25000 Y_G_3 <= 0
90) X_G_4 - 25000 Y_G_4 <= 0
91) X_G_5 - 25000 Y_G_5 <= 0
92) X_G_6 - 25000 Y_G_6 <= 0
END
INT Y_A_1
INT Y_A_2
INT Y_A_3
INT Y_A_4
INT Y_A_5
INT Y_A_6
INT Y_B_1
INT Y_B_2
INT Y_B_3
INT Y_B_4
INT Y_B_5
INT Y_B_6
INT Y_C_1
INT Y_C_2
INT Y_C_3
INT Y_C_4
INT Y_C_5
INT Y_C_6
INT Y_D_1
INT Y_D_2
INT Y_D_3
INT Y_D_4
INT Y_D_5
INT Y_D_6
INT Y_E_1
INT Y_E_2
INT Y_E_3
INT Y_E_4
INT Y_E_5
INT Y_E_6
INT Y_F_1
INT Y_F_2
INT Y_F_3
INT Y_F_4
INT Y_F_5
INT Y_F_6
INT Y_G_1
INT Y_G_2
INT Y_G_3
INT Y_G_4
INT Y_G_5
INT Y_G_6
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