# NLP written by GAMS Convert at 02/17/22 17:23:52
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        46       34        0       12        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
#       315      175      140
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x5 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x6 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x7 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x8 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x9 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x10 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x11 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x12 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x13 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x14 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x15 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x16 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x17 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x18 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x19 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x20 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x21 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x22 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x23 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x24 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x25 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x26 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x27 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x28 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x29 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x30 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x31 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x32 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x33 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x34 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x35 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x36 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x37 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x38 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x39 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x40 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x41 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x42 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x43 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x44 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x45 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x46 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x47 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x48 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x49 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x50 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x51 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x52 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x53 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x54 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x55 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x56 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x57 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x58 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x59 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x60 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x61 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x62 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x63 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x64 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x65 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x66 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x67 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x68 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x69 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x70 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x71 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x72 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x73 = Var(within=Reals, bounds=(0,1e+06), initialize=0)
m.x74 = Var(within=Reals, bounds=(0,1e+06), initialize=0)

m.obj = Objective(sense=minimize, expr= m.x70 + m.x71 + m.x72 + m.x73 + m.x74)

m.e1 = Constraint(expr= -m.x46 - m.x54 - m.x55 - m.x56 - m.x57 - m.x58 == -50)
m.e2 = Constraint(expr= -m.x47 - m.x59 - m.x60 - m.x61 - m.x62 - m.x63 == -120)
m.e3 = Constraint(expr= -m.x48 - m.x64 - m.x65 - m.x66 - m.x67 - m.x68 == -70)
m.e4 = Constraint(expr= -m.x21 - m.x26 - m.x31 - m.x36 - m.x41 - m.x54 - m.x59
    - m.x64 + m.x70 == 0)
m.e5 = Constraint(expr= -m.x22 - m.x27 - m.x32 - m.x37 - m.x42 - m.x55 - m.x60
    - m.x65 + m.x71 == 0)
m.e6 = Constraint(expr= -m.x23 - m.x28 - m.x33 - m.x38 - m.x43 - m.x56 - m.x61
    - m.x66 + m.x72 == 0)
m.e7 = Constraint(expr= -m.x24 - m.x29 - m.x34 - m.x39 - m.x44 - m.x57 - m.x62
    - m.x67 + m.x73 == 0)
m.e8 = Constraint(expr= -m.x25 - m.x30 - m.x35 - m.x40 - m.x45 - m.x58 - m.x63
    - m.x68 + m.x74 == 0)
m.e9 = Constraint(expr= -m.x21 - m.x22 - m.x23 - m.x24 - m.x25 - m.x49 + m.x70
    == 0)
m.e10 = Constraint(expr= -m.x26 - m.x27 - m.x28 - m.x29 - m.x30 - m.x50 + m.x71
    == 0)
m.e11 = Constraint(expr= -m.x31 - m.x32 - m.x33 - m.x34 - m.x35 - m.x51 + m.x72
    == 0)
m.e12 = Constraint(expr= -m.x36 - m.x37 - m.x38 - m.x39 - m.x40 - m.x52 + m.x73
    == 0)
m.e13 = Constraint(expr= -m.x41 - m.x42 - m.x43 - m.x44 - m.x45 - m.x53 + m.x74
    == 0)
m.e14 = Constraint(expr= -m.x46 - m.x47 - m.x48 - m.x49 - m.x50 - m.x51 - m.x52
    - m.x53 + m.x69 == 0)
m.e15 = Constraint(expr= m.x21 * m.x11 + m.x26 * m.x13 + m.x31 * m.x15 + m.x36
    * m.x17 + m.x41 * m.x19 - m.x70 * m.x1 + 10 * m.x54 + 110 * m.x59 + 100 *
    m.x64 == 0)
m.e16 = Constraint(expr= m.x21 * m.x12 + m.x26 * m.x14 + m.x31 * m.x16 + m.x36
    * m.x18 + m.x41 * m.x20 - m.x70 * m.x2 + 200 * m.x54 + 140 * m.x59 + 25 *
    m.x64 == 0)
m.e17 = Constraint(expr= m.x22 * m.x11 + m.x27 * m.x13 + m.x32 * m.x15 + m.x37
    * m.x17 + m.x42 * m.x19 - m.x71 * m.x3 + 10 * m.x55 + 110 * m.x60 + 100 *
    m.x65 == 0)
m.e18 = Constraint(expr= m.x22 * m.x12 + m.x27 * m.x14 + m.x32 * m.x16 + m.x37
    * m.x18 + m.x42 * m.x20 - m.x71 * m.x4 + 200 * m.x55 + 140 * m.x60 + 25 *
    m.x65 == 0)
m.e19 = Constraint(expr= m.x23 * m.x11 + m.x28 * m.x13 + m.x33 * m.x15 + m.x38
    * m.x17 + m.x43 * m.x19 - m.x72 * m.x5 + 10 * m.x56 + 110 * m.x61 + 100 *
    m.x66 == 0)
m.e20 = Constraint(expr= m.x23 * m.x12 + m.x28 * m.x14 + m.x33 * m.x16 + m.x38
    * m.x18 + m.x43 * m.x20 - m.x72 * m.x6 + 200 * m.x56 + 140 * m.x61 + 25 *
    m.x66 == 0)
m.e21 = Constraint(expr= m.x24 * m.x11 + m.x29 * m.x13 + m.x34 * m.x15 + m.x39
    * m.x17 + m.x44 * m.x19 - m.x73 * m.x7 + 10 * m.x57 + 110 * m.x62 + 100 *
    m.x67 == 0)
m.e22 = Constraint(expr= m.x24 * m.x12 + m.x29 * m.x14 + m.x34 * m.x16 + m.x39
    * m.x18 + m.x44 * m.x20 - m.x73 * m.x8 + 200 * m.x57 + 140 * m.x62 + 25 *
    m.x67 == 0)
m.e23 = Constraint(expr= m.x25 * m.x11 + m.x30 * m.x13 + m.x35 * m.x15 + m.x40
    * m.x17 + m.x45 * m.x19 - m.x74 * m.x9 + 10 * m.x58 + 110 * m.x63 + 100 *
    m.x68 == 0)
m.e24 = Constraint(expr= m.x25 * m.x12 + m.x30 * m.x14 + m.x35 * m.x16 + m.x40
    * m.x18 + m.x45 * m.x20 - m.x74 * m.x10 + 200 * m.x58 + 140 * m.x63 + 25 *
    m.x68 == 0)
m.e25 = Constraint(expr= m.x1 <= 145)
m.e26 = Constraint(expr= m.x2 <= 400)
m.e27 = Constraint(expr= m.x3 <= 110)
m.e28 = Constraint(expr= m.x4 <= 90)
m.e29 = Constraint(expr= m.x5 <= 90)
m.e30 = Constraint(expr= m.x6 <= 100)
m.e31 = Constraint(expr= m.x7 <= 200)
m.e32 = Constraint(expr= m.x8 <= 90)
m.e33 = Constraint(expr= m.x9 <= 50)
m.e34 = Constraint(expr= m.x10 <= 80)
m.e35 = Constraint(expr= -0.1 * m.x1 + m.x11 == 0)
m.e36 = Constraint(expr= -m.x2 + m.x12 == 0)
m.e37 = Constraint(expr= -0.3 * m.x3 + m.x13 == 0)
m.e38 = Constraint(expr= -0.1 * m.x4 + m.x14 == 0)
m.e39 = Constraint(expr= -m.x5 + m.x15 == 0)
m.e40 = Constraint(expr= -0.2 * m.x6 + m.x16 == 0)
m.e41 = Constraint(expr= -0.5 * m.x7 + m.x17 == 0)
m.e42 = Constraint(expr= -m.x8 + m.x18 == 0)
m.e43 = Constraint(expr= -0.35 * m.x9 + m.x19 == 0)
m.e44 = Constraint(expr= -0.4 * m.x10 + m.x20 == 0)
m.e45 = Constraint(expr= m.x49 * m.x11 + m.x50 * m.x13 + m.x51 * m.x15 + m.x52
    * m.x17 + m.x53 * m.x19 + 10 * m.x46 + 110 * m.x47 + 100 * m.x48 - 10 *
    m.x69 <= 0)
m.e46 = Constraint(expr= m.x49 * m.x12 + m.x50 * m.x14 + m.x51 * m.x16 + m.x52
    * m.x18 + m.x53 * m.x20 + 200 * m.x46 + 140 * m.x47 + 25 * m.x48 - 5 *
    m.x69 <= 0)
