# NLP written by GAMS Convert at 02/17/22 17:19:07
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        53       53        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        62       62        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       275       87      188
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x5 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x6 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x7 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x8 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x9 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x10 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x11 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x12 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x13 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x14 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x15 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x16 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x17 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x18 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x19 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x20 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x21 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x22 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x23 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x24 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x25 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x26 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x27 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x28 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x29 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x30 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x31 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x32 = Var(within=Reals, bounds=(0,600), initialize=0)
m.x33 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x34 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x35 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x36 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x37 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x38 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x39 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x40 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x41 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x42 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x43 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x44 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x45 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x46 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x47 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x48 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x49 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x50 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x51 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x52 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x53 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x54 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x55 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x56 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x57 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x58 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x59 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x60 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x61 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x62 = Var(within=Reals, bounds=(0,1), initialize=0)

m.obj = Objective(sense=minimize, expr= m.x6 * (0.00132223 + 0.0016446 * m.x33
    + 0.0018611 * m.x34 + 0.001262 * m.x35) + m.x15 * (-9.40700000000017e-05
    + 0.0015625 * m.x43 + 0.0091604 * m.x44 + 0.0076758 * m.x45) + m.x24 * (
    0.00457315 - 0.001748 * m.x53 - 0.0002583 * m.x54 - 0.0004691 * m.x55) +
    1.68776)

m.e1 = Constraint(expr= m.x1 + m.x2 + m.x3 + m.x4 + m.x5 == 600)
m.e2 = Constraint(expr= -m.x1 + m.x6 - m.x17 - m.x26 == 0)
m.e3 = Constraint(expr= -m.x2 - m.x11 + m.x15 - m.x27 == 0)
m.e4 = Constraint(expr= -m.x3 - m.x12 - m.x21 + m.x24 == 0)
m.e5 = Constraint(expr= m.x7 - m.x8 - m.x9 == 0)
m.e6 = Constraint(expr= m.x10 - m.x11 - m.x12 - m.x13 - m.x14 == 0)
m.e7 = Constraint(expr= m.x16 - m.x17 - m.x18 - m.x19 == 0)
m.e8 = Constraint(expr= m.x20 - m.x21 - m.x22 - m.x23 == 0)
m.e9 = Constraint(expr= m.x25 - m.x26 - m.x27 - m.x28 - m.x29 == 0)
m.e10 = Constraint(expr= m.x30 - m.x31 - m.x32 == 0)
m.e11 = Constraint(expr= m.x7 * m.x37 - 0.85 * m.x6 * m.x33 == 0)
m.e12 = Constraint(expr= m.x16 * m.x48 - 0.85 * m.x15 * m.x44 == 0)
m.e13 = Constraint(expr= m.x25 * m.x59 - m.x24 * m.x55 == 0)
m.e14 = Constraint(expr= m.x10 * m.x40 - m.x6 * m.x34 == 0)
m.e15 = Constraint(expr= m.x20 * m.x51 - 0.85 * m.x15 * m.x45 == 0)
m.e16 = Constraint(expr= m.x30 * m.x62 - 0.85 * m.x24 * m.x56 == 0)
m.e17 = Constraint(expr= m.x6 * m.x33 - m.x7 * m.x37 - m.x10 * m.x39 == 0)
m.e18 = Constraint(expr= m.x6 * m.x34 - m.x7 * m.x38 - m.x10 * m.x40 == 0)
m.e19 = Constraint(expr= m.x6 * m.x35 - m.x10 * m.x41 == 0)
m.e20 = Constraint(expr= m.x6 * m.x36 - m.x10 * m.x42 == 0)
m.e21 = Constraint(expr= m.x15 * m.x43 - m.x16 * m.x47 == 0)
m.e22 = Constraint(expr= m.x15 * m.x44 - m.x16 * m.x48 - m.x20 * m.x50 == 0)
m.e23 = Constraint(expr= m.x15 * m.x45 - m.x16 * m.x49 - m.x20 * m.x51 == 0)
m.e24 = Constraint(expr= m.x15 * m.x46 - m.x20 * m.x52 == 0)
m.e25 = Constraint(expr= m.x24 * m.x53 - m.x25 * m.x57 == 0)
m.e26 = Constraint(expr= m.x24 * m.x54 - m.x25 * m.x58 == 0)
m.e27 = Constraint(expr= m.x24 * m.x55 - m.x25 * m.x59 - m.x30 * m.x61 == 0)
m.e28 = Constraint(expr= m.x24 * m.x56 - m.x25 * m.x60 - m.x30 * m.x62 == 0)
m.e29 = Constraint(expr= m.x17 * m.x47 + m.x26 * m.x57 - m.x6 * m.x33 + 0.25 *
    m.x1 == 0)
m.e30 = Constraint(expr= m.x17 * m.x48 + m.x26 * m.x58 - m.x6 * m.x34 + 0.333 *
    m.x1 == 0)
m.e31 = Constraint(expr= m.x17 * m.x49 + m.x26 * m.x59 - m.x6 * m.x35 + 0.167 *
    m.x1 == 0)
m.e32 = Constraint(expr= m.x26 * m.x60 - m.x6 * m.x36 + 0.25 * m.x1 == 0)
m.e33 = Constraint(expr= m.x11 * m.x39 + m.x27 * m.x57 - m.x15 * m.x43 + 0.25 *
    m.x2 == 0)
m.e34 = Constraint(expr= m.x11 * m.x40 + m.x27 * m.x58 - m.x15 * m.x44 + 0.333
    * m.x2 == 0)
m.e35 = Constraint(expr= m.x11 * m.x41 + m.x27 * m.x59 - m.x15 * m.x45 + 0.167
    * m.x2 == 0)
m.e36 = Constraint(expr= m.x11 * m.x42 + m.x27 * m.x60 - m.x15 * m.x46 + 0.25 *
    m.x2 == 0)
m.e37 = Constraint(expr= m.x12 * m.x39 - m.x24 * m.x53 + 0.25 * m.x3 == 0)
m.e38 = Constraint(expr= m.x12 * m.x40 + m.x21 * m.x50 - m.x24 * m.x54 + 0.333
    * m.x3 == 0)
m.e39 = Constraint(expr= m.x12 * m.x41 + m.x21 * m.x51 - m.x24 * m.x55 + 0.167
    * m.x3 == 0)
m.e40 = Constraint(expr= m.x12 * m.x42 + m.x21 * m.x52 - m.x24 * m.x56 + 0.25 *
    m.x3 == 0)
m.e41 = Constraint(expr= m.x8 * m.x37 + m.x13 * m.x39 + m.x18 * m.x47 + m.x28
    * m.x57 + 0.25 * m.x4 == 50)
m.e42 = Constraint(expr= m.x8 * m.x38 + m.x13 * m.x40 + m.x18 * m.x48 + m.x22
    * m.x50 + m.x28 * m.x58 + 0.222 * m.x4 == 100)
m.e43 = Constraint(expr= m.x13 * m.x41 + m.x18 * m.x49 + m.x22 * m.x51 + m.x28
    * m.x59 + m.x31 * m.x61 + 0.167 * m.x4 == 40)
m.e44 = Constraint(expr= m.x13 * m.x42 + m.x22 * m.x52 + m.x28 * m.x60 + m.x31
    * m.x62 + 0.25 * m.x4 == 100)
m.e45 = Constraint(expr= m.x33 + m.x34 + m.x35 + m.x36 == 1)
m.e46 = Constraint(expr= m.x37 + m.x38 == 1)
m.e47 = Constraint(expr= m.x39 + m.x40 + m.x41 + m.x42 == 1)
m.e48 = Constraint(expr= m.x43 + m.x44 + m.x45 + m.x46 == 1)
m.e49 = Constraint(expr= m.x47 + m.x48 + m.x49 == 1)
m.e50 = Constraint(expr= m.x50 + m.x51 + m.x52 == 1)
m.e51 = Constraint(expr= m.x53 + m.x54 + m.x55 + m.x56 == 1)
m.e52 = Constraint(expr= m.x57 + m.x58 + m.x59 + m.x60 == 1)
m.e53 = Constraint(expr= m.x61 + m.x62 == 1)
