# MINLP written by GAMS Convert at 02/17/22 17:23:00
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        64       20       12       32        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        56       44       12        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       180      180        0
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.b1 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b2 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b3 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b4 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b5 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b6 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b7 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b8 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b9 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b10 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b11 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b12 = Var(within=Binary, bounds=(0,1), initialize=0)
m.x13 = Var(within=Reals, bounds=(370,650), initialize=370)
m.x14 = Var(within=Reals, bounds=(370,650), initialize=370)
m.x15 = Var(within=Reals, bounds=(370,650), initialize=370)
m.x16 = Var(within=Reals, bounds=(370,590), initialize=370)
m.x17 = Var(within=Reals, bounds=(370,590), initialize=370)
m.x18 = Var(within=Reals, bounds=(370,590), initialize=370)
m.x19 = Var(within=Reals, bounds=(410,650), initialize=410)
m.x20 = Var(within=Reals, bounds=(410,650), initialize=410)
m.x21 = Var(within=Reals, bounds=(410,650), initialize=410)
m.x22 = Var(within=Reals, bounds=(350,500), initialize=350)
m.x23 = Var(within=Reals, bounds=(350,500), initialize=350)
m.x24 = Var(within=Reals, bounds=(350,500), initialize=350)
m.x25 = Var(within=Reals, bounds=(0,None), initialize=2800)
m.x26 = Var(within=Reals, bounds=(0,None), initialize=2800)
m.x27 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x28 = Var(within=Reals, bounds=(0,None), initialize=1950)
m.x29 = Var(within=Reals, bounds=(0,None), initialize=1950)
m.x30 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x31 = Var(within=Reals, bounds=(0,None), initialize=3600)
m.x32 = Var(within=Reals, bounds=(0,None), initialize=3600)
m.x33 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x34 = Var(within=Reals, bounds=(0,None), initialize=1950)
m.x35 = Var(within=Reals, bounds=(0,None), initialize=1950)
m.x36 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x37 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x38 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x39 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x40 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x41 = Var(within=Reals, bounds=(10,None), initialize=240)
m.x42 = Var(within=Reals, bounds=(10,None), initialize=240)
m.x43 = Var(within=Reals, bounds=(10,None), initialize=240)
m.x44 = Var(within=Reals, bounds=(10,None), initialize=300)
m.x45 = Var(within=Reals, bounds=(10,None), initialize=300)
m.x46 = Var(within=Reals, bounds=(10,None), initialize=300)
m.x47 = Var(within=Reals, bounds=(10,None), initialize=180)
m.x48 = Var(within=Reals, bounds=(10,None), initialize=180)
m.x49 = Var(within=Reals, bounds=(10,None), initialize=180)
m.x50 = Var(within=Reals, bounds=(10,None), initialize=240)
m.x51 = Var(within=Reals, bounds=(10,None), initialize=240)
m.x52 = Var(within=Reals, bounds=(10,None), initialize=240)
m.x53 = Var(within=Reals, bounds=(10,None), initialize=330)
m.x54 = Var(within=Reals, bounds=(10,None), initialize=270)
m.x55 = Var(within=Reals, bounds=(10,None), initialize=270)
m.x56 = Var(within=Reals, bounds=(10,None), initialize=330)

m.obj = Objective(sense=minimize, expr= 150 * (2 * m.x25 / ((0.5 * m.x41 *
    m.x42 * (m.x41 + m.x42) + 1e-06)**0.33333 + 1e-06) + (2 * m.x26) / ((0.5 *
    m.x42 * m.x43 * (m.x42 + m.x43) + 1e-06)**0.33333 + 1e-06) + (2 * m.x28) /
    ((0.5 * m.x44 * m.x45 * (m.x44 + m.x45) + 1e-06)**0.33333 + 1e-06) + (2 *
    m.x29) / ((0.5 * m.x45 * m.x46 * (m.x45 + m.x46) + 1e-06)**0.33333 + 1e-06)
    + (2 * m.x31) / ((0.5 * m.x47 * m.x48 * (m.x47 + m.x48) + 1e-06)**0.33333
    + 1e-06) + (2 * m.x32) / ((0.5 * m.x48 * m.x49 * (m.x48 + m.x49) + 1e-06)
    **0.33333 + 1e-06) + (2 * m.x34) / ((0.5 * m.x50 * m.x51 * (m.x50 + m.x51)
    + 1e-06)**0.33333 + 1e-06) + (2 * m.x35) / ((0.5 * m.x51 * m.x52 * (m.x51
    + m.x52) + 1e-06)**0.33333 + 1e-06)) + 150 * (1.2 * m.x39 / (30 * m.x55 *
    (15 + 0.5 * m.x55) + 1e-06)**0.33333 + (1.2 * m.x40) / (180 * m.x56 * (90
    + 0.5 * m.x56) + 1e-06)**0.33333) + 150 * (2 * m.x37 / (35 * m.x53 * (70
    + m.x53) + 1e-06)**0.33333 + (2 * m.x38) / (35 * m.x54 * (70 + m.x54) +
    1e-06)**0.33333) + 80 * m.x39 + 80 * m.x40 + 15 * m.x37 + 15 * m.x38 + 5500
    * m.b1 + 5500 * m.b2 + 5500 * m.b3 + 5500 * m.b4 + 5500 * m.b5 + 5500 *
    m.b6 + 5500 * m.b7 + 5500 * m.b8 + 5500 * m.b9 + 5500 * m.b10 + 5500 *
    m.b11 + 5500 * m.b12 + 29995.6190569812 * m.x27 + 29995.6190569812 * m.x30
    + 29995.6190569812 * m.x33 + 29995.6190569812 * m.x36 + 0.0024)

m.e1 = Constraint(expr= 10 * m.x13 - 10 * m.x14 - m.x25 - m.x28 == 0)
m.e2 = Constraint(expr= 10 * m.x14 - 10 * m.x15 - m.x26 - m.x29 == 0)
m.e3 = Constraint(expr= 20 * m.x16 - 20 * m.x17 - m.x31 - m.x34 == 0)
m.e4 = Constraint(expr= 20 * m.x17 - 20 * m.x18 - m.x32 - m.x35 == 0)
m.e5 = Constraint(expr= 10 * m.x15 - m.x37 == 3700)
m.e6 = Constraint(expr= 20 * m.x18 - m.x38 == 7400)
m.e7 = Constraint(expr= -m.x25 - m.x26 - m.x28 - m.x29 - m.x37 == -2800)
m.e8 = Constraint(expr= -m.x31 - m.x32 - m.x34 - m.x35 - m.x38 == -4400)
m.e9 = Constraint(expr= 15 * m.x19 - 15 * m.x20 - m.x25 - m.x31 == 0)
m.e10 = Constraint(expr= 15 * m.x20 - 15 * m.x21 - m.x26 - m.x32 == 0)
m.e11 = Constraint(expr= 13 * m.x22 - 13 * m.x23 - m.x28 - m.x34 == 0)
m.e12 = Constraint(expr= 13 * m.x23 - 13 * m.x24 - m.x29 - m.x35 == 0)
m.e13 = Constraint(expr= -15 * m.x19 - m.x39 == -9750)
m.e14 = Constraint(expr= -13 * m.x22 - m.x40 == -6500)
m.e15 = Constraint(expr= -m.x25 - m.x26 - m.x31 - m.x32 - m.x39 == -3600)
m.e16 = Constraint(expr= -m.x28 - m.x29 - m.x34 - m.x35 - m.x40 == -1950)
m.e17 = Constraint(expr= m.x13 - m.x14 >= 0)
m.e18 = Constraint(expr= m.x14 - m.x15 >= 0)
m.e19 = Constraint(expr= m.x16 - m.x17 >= 0)
m.e20 = Constraint(expr= m.x17 - m.x18 >= 0)
m.e21 = Constraint(expr= m.x19 - m.x20 >= 0)
m.e22 = Constraint(expr= m.x20 - m.x21 >= 0)
m.e23 = Constraint(expr= m.x22 - m.x23 >= 0)
m.e24 = Constraint(expr= m.x23 - m.x24 >= 0)
m.e25 = Constraint(expr= m.x15 >= 370)
m.e26 = Constraint(expr= m.x18 >= 370)
m.e27 = Constraint(expr= -m.x19 >= -650)
m.e28 = Constraint(expr= -m.x22 >= -500)
m.e29 = Constraint(expr= -m.x13 == -650)
m.e30 = Constraint(expr= -m.x16 == -590)
m.e31 = Constraint(expr= -m.x21 == -410)
m.e32 = Constraint(expr= -m.x24 == -350)
m.e33 = Constraint(expr= -2800 * m.b1 + m.x25 <= 0)
m.e34 = Constraint(expr= -2800 * m.b2 + m.x26 <= 0)
m.e35 = Constraint(expr= -1950 * m.b3 + m.x28 <= 0)
m.e36 = Constraint(expr= -1950 * m.b4 + m.x29 <= 0)
m.e37 = Constraint(expr= -3600 * m.b5 + m.x31 <= 0)
m.e38 = Constraint(expr= -3600 * m.b6 + m.x32 <= 0)
m.e39 = Constraint(expr= -1950 * m.b7 + m.x34 <= 0)
m.e40 = Constraint(expr= -1950 * m.b8 + m.x35 <= 0)
m.e41 = Constraint(expr= -3600 * m.b11 + m.x39 <= 0)
m.e42 = Constraint(expr= -1950 * m.b12 + m.x40 <= 0)
m.e43 = Constraint(expr= -2800 * m.b9 + m.x37 <= 0)
m.e44 = Constraint(expr= -4400 * m.b10 + m.x38 <= 0)
m.e45 = Constraint(expr= 280 * m.b1 - m.x13 + m.x19 + m.x41 <= 280)
m.e46 = Constraint(expr= 280 * m.b2 - m.x14 + m.x20 + m.x42 <= 280)
m.e47 = Constraint(expr= 130 * m.b3 - m.x13 + m.x22 + m.x44 <= 130)
m.e48 = Constraint(expr= 130 * m.b4 - m.x14 + m.x23 + m.x45 <= 130)
m.e49 = Constraint(expr= 280 * m.b5 - m.x16 + m.x19 + m.x47 <= 280)
m.e50 = Constraint(expr= 280 * m.b6 - m.x17 + m.x20 + m.x48 <= 280)
m.e51 = Constraint(expr= 130 * m.b7 - m.x16 + m.x22 + m.x50 <= 130)
m.e52 = Constraint(expr= 130 * m.b8 - m.x17 + m.x23 + m.x51 <= 130)
m.e53 = Constraint(expr= 280 * m.b1 - m.x14 + m.x20 + m.x42 <= 280)
m.e54 = Constraint(expr= 280 * m.b2 - m.x15 + m.x21 + m.x43 <= 280)
m.e55 = Constraint(expr= 130 * m.b3 - m.x14 + m.x23 + m.x45 <= 130)
m.e56 = Constraint(expr= 130 * m.b4 - m.x15 + m.x24 + m.x46 <= 130)
m.e57 = Constraint(expr= 280 * m.b5 - m.x17 + m.x20 + m.x48 <= 280)
m.e58 = Constraint(expr= 280 * m.b6 - m.x18 + m.x21 + m.x49 <= 280)
m.e59 = Constraint(expr= 130 * m.b7 - m.x17 + m.x23 + m.x51 <= 130)
m.e60 = Constraint(expr= 130 * m.b8 - m.x18 + m.x24 + m.x52 <= 130)
m.e61 = Constraint(expr= -m.x15 + m.x53 <= -320)
m.e62 = Constraint(expr= -m.x18 + m.x54 <= -320)
m.e63 = Constraint(expr= m.x19 + m.x55 <= 680)
m.e64 = Constraint(expr= m.x22 + m.x56 <= 680)