# NLP written by GAMS Convert at 02/17/22 17:24:02
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        64       32        4       28        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        60       60        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       274      118      156
#
# 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.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.e1 = Constraint(expr= -m.x1 - m.x5 - m.x9 + m.x13 - m.x21 - m.x25 - m.x29 -
    m.x33 == 0)
m.e2 = Constraint(expr= -m.x2 - m.x6 - m.x10 + m.x14 - m.x22 - m.x26 - m.x30 -
    m.x34 == 0)
m.e3 = Constraint(expr= -m.x3 - m.x7 - m.x11 + m.x15 - m.x23 - m.x27 - m.x31 -
    m.x35 == 0)
m.e4 = Constraint(expr= -m.x4 - m.x8 - m.x12 - m.x24 - m.x28 - m.x32 - m.x36
    == -170)
m.e5 = Constraint(expr= m.x13 - m.x17 - m.x21 - m.x22 - m.x23 - m.x24 == 0)
m.e6 = Constraint(expr= m.x14 - m.x18 - m.x25 - m.x26 - m.x27 - m.x28 == 0)
m.e7 = Constraint(expr= m.x15 - m.x19 - m.x29 - m.x30 - m.x31 - m.x32 == 0)
m.e8 = Constraint(expr= -m.x20 - m.x33 - m.x34 - m.x35 - m.x36 == -140)
m.e9 = Constraint(expr= m.x13 * m.x37 - m.x21 * m.x49 - m.x25 * m.x53 - m.x29
    * m.x57 - 2 * m.x5 - 250 * m.x33 == 0)
m.e10 = Constraint(expr= m.x13 * m.x38 - m.x21 * m.x50 - m.x25 * m.x54 - m.x29
    * m.x58 - 3 * m.x1 - m.x5 - 180 * m.x33 == 0)
m.e11 = Constraint(expr= m.x13 * m.x39 - m.x21 * m.x51 - m.x25 * m.x55 - m.x29
    * m.x59 - m.x9 - 90 * m.x33 == 0)
m.e12 = Constraint(expr= m.x13 * m.x40 - m.x21 * m.x52 - m.x25 * m.x56 - m.x29
    * m.x60 - 3 * m.x9 - 90 * m.x33 == 0)
m.e13 = Constraint(expr= m.x14 * m.x41 - m.x22 * m.x49 - m.x26 * m.x53 - m.x30
    * m.x57 - 2 * m.x6 - 250 * m.x34 == 0)
m.e14 = Constraint(expr= m.x14 * m.x42 - m.x22 * m.x50 - m.x26 * m.x54 - m.x30
    * m.x58 - 3 * m.x2 - m.x6 - 180 * m.x34 == 0)
m.e15 = Constraint(expr= m.x14 * m.x43 - m.x22 * m.x51 - m.x26 * m.x55 - m.x30
    * m.x59 - m.x10 - 90 * m.x34 == 0)
m.e16 = Constraint(expr= m.x14 * m.x44 - m.x22 * m.x52 - m.x26 * m.x56 - m.x30
    * m.x60 - 3 * m.x10 - 90 * m.x34 == 0)
m.e17 = Constraint(expr= m.x15 * m.x45 - m.x23 * m.x49 - m.x27 * m.x53 - m.x31
    * m.x57 - 2 * m.x7 - 250 * m.x35 == 0)
m.e18 = Constraint(expr= m.x15 * m.x46 - m.x23 * m.x50 - m.x27 * m.x54 - m.x31
    * m.x58 - 3 * m.x3 - m.x7 - 180 * m.x35 == 0)
m.e19 = Constraint(expr= m.x15 * m.x47 - m.x23 * m.x51 - m.x27 * m.x55 - m.x31
    * m.x59 - m.x11 - 90 * m.x35 == 0)
m.e20 = Constraint(expr= m.x15 * m.x48 - m.x23 * m.x52 - m.x27 * m.x56 - m.x31
    * m.x60 - 3 * m.x11 - 90 * m.x35 == 0)
m.e21 = Constraint(expr= -m.x13 * (-m.x37 + m.x49) == -3690)
m.e22 = Constraint(expr= -m.x13 * (-m.x38 + m.x50) == -3690)
m.e23 = Constraint(expr= -m.x13 * (-m.x39 + m.x51) == -1230)
m.e24 = Constraint(expr= -m.x13 * (-m.x40 + m.x52) == -3690)
m.e25 = Constraint(expr= -m.x14 * (-m.x41 + m.x53) == -940)
m.e26 = Constraint(expr= -m.x14 * (-m.x42 + m.x54) == -2350)
m.e27 = Constraint(expr= -m.x14 * (-m.x43 + m.x55) == -1175)
m.e28 = Constraint(expr= -m.x14 * (-m.x44 + m.x56) == -1880)
m.e29 = Constraint(expr= -m.x15 * (-m.x45 + m.x57) == -12300)
m.e30 = Constraint(expr= -m.x15 * (-m.x46 + m.x58) == -12300)
m.e31 = Constraint(expr= -m.x15 * (-m.x47 + m.x59) == -6150)
m.e32 = Constraint(expr= -m.x15 * (-m.x48 + m.x60) == -4920)
m.e33 = Constraint(expr= m.x37 <= 20)
m.e34 = Constraint(expr= m.x38 <= 30)
m.e35 = Constraint(expr= m.x39 <= 20)
m.e36 = Constraint(expr= m.x40 <= 10)
m.e37 = Constraint(expr= m.x41 <= 50)
m.e38 = Constraint(expr= m.x42 <= 20)
m.e39 = Constraint(expr= m.x43 <= 20)
m.e40 = Constraint(expr= m.x44 <= 20)
m.e41 = Constraint(expr= m.x45 <= 100)
m.e42 = Constraint(expr= m.x46 <= 150)
m.e43 = Constraint(expr= m.x47 <= 30)
m.e44 = Constraint(expr= m.x48 <= 20)
m.e45 = Constraint(expr= m.x49 <= 50)
m.e46 = Constraint(expr= m.x50 <= 60)
m.e47 = Constraint(expr= m.x51 <= 30)
m.e48 = Constraint(expr= m.x52 <= 40)
m.e49 = Constraint(expr= m.x53 <= 70)
m.e50 = Constraint(expr= m.x54 <= 70)
m.e51 = Constraint(expr= m.x55 <= 45)
m.e52 = Constraint(expr= m.x56 <= 60)
m.e53 = Constraint(expr= m.x57 <= 200)
m.e54 = Constraint(expr= m.x58 <= 250)
m.e55 = Constraint(expr= m.x59 <= 80)
m.e56 = Constraint(expr= m.x60 <= 60)
m.e57 = Constraint(expr= -m.x24 * m.x49 - m.x28 * m.x53 - m.x32 * m.x57 - 2 *
    m.x8 - 250 * m.x36 >= -34000)
m.e58 = Constraint(expr= -m.x24 * m.x50 - m.x28 * m.x54 - m.x32 * m.x58 - 3 *
    m.x4 - m.x8 - 180 * m.x36 >= -13600)
m.e59 = Constraint(expr= -m.x24 * m.x51 - m.x28 * m.x55 - m.x32 * m.x59 - m.x12
    - 90 * m.x36 >= -3400)
m.e60 = Constraint(expr= -m.x24 * m.x52 - m.x28 * m.x56 - m.x32 * m.x60 - 3 *
    m.x12 - 90 * m.x36 >= -10200)
m.e61 = Constraint(expr= m.x13 <= 123)
m.e62 = Constraint(expr= m.x14 <= 47)
m.e63 = Constraint(expr= m.x15 <= 123)
m.e64 = Constraint(expr= m.x16 <= 0)
