# NLP written by GAMS Convert at 02/17/22 17:23:52
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        40       28        0       12        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        46       46        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       211      121       90
#
# 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.obj = Objective(sense=minimize, expr= m.x44 + m.x45 + m.x46)

m.e1 = Constraint(expr= -m.x28 - m.x34 - m.x35 - m.x36 == -150)
m.e2 = Constraint(expr= -m.x29 - m.x37 - m.x38 - m.x39 == -70)
m.e3 = Constraint(expr= -m.x30 - m.x40 - m.x41 - m.x42 == -900)
m.e4 = Constraint(expr= -m.x19 - m.x22 - m.x25 - m.x34 - m.x37 - m.x40 + m.x44
    == 0)
m.e5 = Constraint(expr= -m.x20 - m.x23 - m.x26 - m.x35 - m.x38 - m.x41 + m.x45
    == 0)
m.e6 = Constraint(expr= -m.x21 - m.x24 - m.x27 - m.x36 - m.x39 - m.x42 + m.x46
    == 0)
m.e7 = Constraint(expr= -m.x19 - m.x20 - m.x21 - m.x31 + m.x44 == 0)
m.e8 = Constraint(expr= -m.x22 - m.x23 - m.x24 - m.x32 + m.x45 == 0)
m.e9 = Constraint(expr= -m.x25 - m.x26 - m.x27 - m.x33 + m.x46 == 0)
m.e10 = Constraint(expr= -m.x28 - m.x29 - m.x30 - m.x31 - m.x32 - m.x33 + m.x43
    == 0)
m.e11 = Constraint(expr= m.x19 * m.x10 + m.x22 * m.x13 + m.x25 * m.x16 - m.x44
    * m.x1 + 10 * m.x34 + 110 * m.x37 + 100 * m.x40 == 0)
m.e12 = Constraint(expr= m.x19 * m.x11 + m.x22 * m.x14 + m.x25 * m.x17 - m.x44
    * m.x2 + 200 * m.x34 + 140 * m.x37 + 25 * m.x40 == 0)
m.e13 = Constraint(expr= m.x19 * m.x12 + m.x22 * m.x15 + m.x25 * m.x18 - m.x44
    * m.x3 + 350 * m.x34 + 100 * m.x37 + 90 * m.x40 == 0)
m.e14 = Constraint(expr= m.x20 * m.x10 + m.x23 * m.x13 + m.x26 * m.x16 - m.x45
    * m.x4 + 10 * m.x35 + 110 * m.x38 + 100 * m.x41 == 0)
m.e15 = Constraint(expr= m.x20 * m.x11 + m.x23 * m.x14 + m.x26 * m.x17 - m.x45
    * m.x5 + 200 * m.x35 + 140 * m.x38 + 25 * m.x41 == 0)
m.e16 = Constraint(expr= m.x20 * m.x12 + m.x23 * m.x15 + m.x26 * m.x18 - m.x45
    * m.x6 + 350 * m.x35 + 100 * m.x38 + 90 * m.x41 == 0)
m.e17 = Constraint(expr= m.x21 * m.x10 + m.x24 * m.x13 + m.x27 * m.x16 - m.x46
    * m.x7 + 10 * m.x36 + 110 * m.x39 + 100 * m.x42 == 0)
m.e18 = Constraint(expr= m.x21 * m.x11 + m.x24 * m.x14 + m.x27 * m.x17 - m.x46
    * m.x8 + 200 * m.x36 + 140 * m.x39 + 25 * m.x42 == 0)
m.e19 = Constraint(expr= m.x21 * m.x12 + m.x24 * m.x15 + m.x27 * m.x18 - m.x46
    * m.x9 + 350 * m.x36 + 100 * m.x39 + 90 * m.x42 == 0)
m.e20 = Constraint(expr= m.x1 <= 145)
m.e21 = Constraint(expr= m.x2 <= 400)
m.e22 = Constraint(expr= m.x3 <= 200)
m.e23 = Constraint(expr= m.x4 <= 110)
m.e24 = Constraint(expr= m.x5 <= 90)
m.e25 = Constraint(expr= m.x6 <= 120)
m.e26 = Constraint(expr= m.x7 <= 90)
m.e27 = Constraint(expr= m.x8 <= 100)
m.e28 = Constraint(expr= m.x9 <= 300)
m.e29 = Constraint(expr= -0.1 * m.x1 + m.x10 == 0)
m.e30 = Constraint(expr= -m.x2 + m.x11 == 0)
m.e31 = Constraint(expr= -0.3 * m.x3 + m.x12 == 0)
m.e32 = Constraint(expr= -0.3 * m.x4 + m.x13 == 0)
m.e33 = Constraint(expr= -0.1 * m.x5 + m.x14 == 0)
m.e34 = Constraint(expr= -0.6 * m.x6 + m.x15 == 0)
m.e35 = Constraint(expr= -m.x7 + m.x16 == 0)
m.e36 = Constraint(expr= -0.2 * m.x8 + m.x17 == 0)
m.e37 = Constraint(expr= -m.x9 + m.x18 == 0)
m.e38 = Constraint(expr= m.x31 * m.x10 + m.x32 * m.x13 + m.x33 * m.x16 + 10 *
    m.x28 + 110 * m.x29 + 100 * m.x30 - 10 * m.x43 <= 0)
m.e39 = Constraint(expr= m.x31 * m.x11 + m.x32 * m.x14 + m.x33 * m.x17 + 200 *
    m.x28 + 140 * m.x29 + 25 * m.x30 - 15 * m.x43 <= 0)
m.e40 = Constraint(expr= m.x31 * m.x12 + m.x32 * m.x15 + m.x33 * m.x18 + 350 *
    m.x28 + 100 * m.x29 + 90 * m.x30 - 20 * m.x43 <= 0)
