# NLP written by GAMS Convert at 02/17/22 17:24:02
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        66       34        3       29        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        74       74        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       332      152      180
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x5 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x6 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x7 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x8 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x9 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x10 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x11 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x12 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x13 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x14 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x15 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x16 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x17 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x18 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x19 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x20 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x21 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x22 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x23 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x24 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x25 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x26 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x27 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x28 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x29 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x30 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x31 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x32 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x33 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x34 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x35 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x36 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x37 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x38 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x39 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x40 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x41 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x42 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x43 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x44 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x45 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x46 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x47 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x48 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x49 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x50 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x51 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x52 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x53 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x54 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x55 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x56 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x57 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x58 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x59 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x60 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x61 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x62 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x63 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x64 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x65 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x66 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x67 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x68 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x69 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x70 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x71 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x72 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x73 = Var(within=Reals, bounds=(0,1e+05), initialize=0)
m.x74 = Var(within=Reals, bounds=(0,1e+05), initialize=0)

m.obj = Objective(sense=minimize, expr= m.x1 + m.x2 + m.x3 + m.x4 + m.x5 + m.x6
    + m.x7 + m.x8 + m.x9 + m.x10 + m.x11 + m.x12 + m.x13 + m.x14 + m.x15)

m.e1 = Constraint(expr= -m.x1 - m.x6 - m.x11 + m.x16 - m.x26 - m.x31 - m.x36 -
    m.x41 - m.x46 == 0)
m.e2 = Constraint(expr= -m.x2 - m.x7 - m.x12 + m.x17 - m.x27 - m.x32 - m.x37 -
    m.x42 - m.x47 == 0)
m.e3 = Constraint(expr= -m.x3 - m.x8 - m.x13 + m.x18 - m.x28 - m.x33 - m.x38 -
    m.x43 - m.x48 == 0)
m.e4 = Constraint(expr= -m.x4 - m.x9 - m.x14 + m.x19 - m.x29 - m.x34 - m.x39 -
    m.x44 - m.x49 == 0)
m.e5 = Constraint(expr= -m.x5 - m.x10 - m.x15 - m.x30 - m.x35 - m.x40 - m.x45
    - m.x50 == -65)
m.e6 = Constraint(expr= m.x16 - m.x21 - m.x26 - m.x27 - m.x28 - m.x29 - m.x30
    == 0)
m.e7 = Constraint(expr= m.x17 - m.x22 - m.x31 - m.x32 - m.x33 - m.x34 - m.x35
    == 0)
m.e8 = Constraint(expr= m.x18 - m.x23 - m.x36 - m.x37 - m.x38 - m.x39 - m.x40
    == 0)
m.e9 = Constraint(expr= m.x19 - m.x24 - m.x41 - m.x42 - m.x43 - m.x44 - m.x45
    == 0)
m.e10 = Constraint(expr= -m.x25 - m.x46 - m.x47 - m.x48 - m.x49 - m.x50 == -75)
m.e11 = Constraint(expr= m.x16 * m.x51 - m.x26 * m.x63 - m.x31 * m.x66 - m.x36
    * m.x69 - m.x41 * m.x72 - 3 * m.x1 - 2 * m.x11 - 150 * m.x46 == 0)
m.e12 = Constraint(expr= m.x16 * m.x52 - m.x26 * m.x64 - m.x31 * m.x67 - m.x36
    * m.x70 - m.x41 * m.x73 - 2 * m.x6 - 4 * m.x11 - 800 * m.x46 == 0)
m.e13 = Constraint(expr= m.x16 * m.x53 - m.x26 * m.x65 - m.x31 * m.x68 - m.x36
    * m.x71 - m.x41 * m.x74 - 2 * m.x1 - 2 * m.x6 - 220 * m.x46 == 0)
m.e14 = Constraint(expr= m.x17 * m.x54 - m.x27 * m.x63 - m.x32 * m.x66 - m.x37
    * m.x69 - m.x42 * m.x72 - 3 * m.x2 - 2 * m.x12 - 150 * m.x47 == 0)
m.e15 = Constraint(expr= m.x17 * m.x55 - m.x27 * m.x64 - m.x32 * m.x67 - m.x37
    * m.x70 - m.x42 * m.x73 - 2 * m.x7 - 4 * m.x12 - 800 * m.x47 == 0)
m.e16 = Constraint(expr= m.x17 * m.x56 - m.x27 * m.x65 - m.x32 * m.x68 - m.x37
    * m.x71 - m.x42 * m.x74 - 2 * m.x2 - 2 * m.x7 - 220 * m.x47 == 0)
m.e17 = Constraint(expr= m.x18 * m.x57 - m.x28 * m.x63 - m.x33 * m.x66 - m.x38
    * m.x69 - m.x43 * m.x72 - 3 * m.x3 - 2 * m.x13 - 150 * m.x48 == 0)
m.e18 = Constraint(expr= m.x18 * m.x58 - m.x28 * m.x64 - m.x33 * m.x67 - m.x38
    * m.x70 - m.x43 * m.x73 - 2 * m.x8 - 4 * m.x13 - 800 * m.x48 == 0)
m.e19 = Constraint(expr= m.x18 * m.x59 - m.x28 * m.x65 - m.x33 * m.x68 - m.x38
    * m.x71 - m.x43 * m.x74 - 2 * m.x3 - 2 * m.x8 - 220 * m.x48 == 0)
m.e20 = Constraint(expr= m.x19 * m.x60 - m.x29 * m.x63 - m.x34 * m.x66 - m.x39
    * m.x69 - m.x44 * m.x72 - 3 * m.x4 - 2 * m.x14 - 150 * m.x49 == 0)
m.e21 = Constraint(expr= m.x19 * m.x61 - m.x29 * m.x64 - m.x34 * m.x67 - m.x39
    * m.x70 - m.x44 * m.x73 - 2 * m.x9 - 4 * m.x14 - 800 * m.x49 == 0)
m.e22 = Constraint(expr= m.x19 * m.x62 - m.x29 * m.x65 - m.x34 * m.x68 - m.x39
    * m.x71 - m.x44 * m.x74 - 2 * m.x4 - 2 * m.x9 - 220 * m.x49 == 0)
m.e23 = Constraint(expr= -m.x16 * (-m.x51 + m.x63) == -6120)
m.e24 = Constraint(expr= -m.x16 * (-m.x52 + m.x64) == -3096)
m.e25 = Constraint(expr= -m.x16 * (-m.x53 + m.x65) == -1800)
m.e26 = Constraint(expr= -m.x17 * (-m.x54 + m.x66) == -6400)
m.e27 = Constraint(expr= -m.x17 * (-m.x55 + m.x67) == -60800)
m.e28 = Constraint(expr= -m.x17 * (-m.x56 + m.x68) == -8640)
m.e29 = Constraint(expr= -m.x18 * (-m.x57 + m.x69) == -5600)
m.e30 = Constraint(expr= -m.x18 * (-m.x58 + m.x70) == -1400)
m.e31 = Constraint(expr= -m.x18 * (-m.x59 + m.x71) == -11200)
m.e32 = Constraint(expr= -m.x19 * (-m.x60 + m.x72) == -648)
m.e33 = Constraint(expr= -m.x19 * (-m.x61 + m.x73) == -408)
m.e34 = Constraint(expr= -m.x19 * (-m.x62 + m.x74) == -360)
m.e35 = Constraint(expr= m.x51 <= 30)
m.e36 = Constraint(expr= m.x52 <= 37)
m.e37 = Constraint(expr= m.x53 <= 10)
m.e38 = Constraint(expr= m.x54 <= 20)
m.e39 = Constraint(expr= m.x55 <= 300)
m.e40 = Constraint(expr= m.x56 <= 45)
m.e41 = Constraint(expr= m.x57 <= 120)
m.e42 = Constraint(expr= m.x58 <= 20)
m.e43 = Constraint(expr= m.x59 <= 200)
m.e44 = Constraint(expr= m.x60 <= 23)
m.e45 = Constraint(expr= m.x61 <= 43)
m.e46 = Constraint(expr= m.x62 <= 15)
m.e47 = Constraint(expr= m.x63 <= 115)
m.e48 = Constraint(expr= m.x64 <= 80)
m.e49 = Constraint(expr= m.x65 <= 35)
m.e50 = Constraint(expr= m.x66 <= 120)
m.e51 = Constraint(expr= m.x67 <= 1250)
m.e52 = Constraint(expr= m.x68 <= 180)
m.e53 = Constraint(expr= m.x69 <= 220)
m.e54 = Constraint(expr= m.x70 <= 45)
m.e55 = Constraint(expr= m.x71 <= 400)
m.e56 = Constraint(expr= m.x72 <= 50)
m.e57 = Constraint(expr= m.x73 <= 60)
m.e58 = Constraint(expr= m.x74 <= 30)
m.e59 = Constraint(expr= -m.x30 * m.x63 - m.x35 * m.x66 - m.x40 * m.x69 - m.x45
    * m.x72 - 3 * m.x5 - 2 * m.x15 - 150 * m.x50 >= -5850)
m.e60 = Constraint(expr= -m.x30 * m.x64 - m.x35 * m.x67 - m.x40 * m.x70 - m.x45
    * m.x73 - 2 * m.x10 - 4 * m.x15 - 800 * m.x50 >= -26000)
m.e61 = Constraint(expr= -m.x30 * m.x65 - m.x35 * m.x68 - m.x40 * m.x71 - m.x45
    * m.x74 - 2 * m.x5 - 2 * m.x10 - 220 * m.x50 >= -10400)
m.e62 = Constraint(expr= m.x16 <= 72)
m.e63 = Constraint(expr= m.x17 <= 64)
m.e64 = Constraint(expr= m.x18 <= 56)
m.e65 = Constraint(expr= m.x19 <= 24)
m.e66 = Constraint(expr= m.x20 <= 0)
