# MINLP written by GAMS Convert at 02/17/22 17:19:34
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        11        1        4        6        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        14       10        4        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        36       34        2
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,29), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,29), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,29), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,29), initialize=0)
m.x5 = Var(within=Reals, bounds=(1,40), initialize=1)
m.x6 = Var(within=Reals, bounds=(1,50), initialize=1)
m.x7 = Var(within=Reals, bounds=(1,40), initialize=1)
m.x8 = Var(within=Reals, bounds=(1,50), initialize=1)
m.x9 = Var(within=Reals, bounds=(0,30), initialize=0)
m.x10 = Var(within=Reals, bounds=(0,30), initialize=0)
m.b11 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b12 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b13 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b14 = Var(within=Binary, bounds=(0,1), initialize=0)

m.obj = Objective(sense=minimize, expr= 2 * m.x9 + 2 * m.x10)

m.e1 = Constraint(expr= -m.x1 - m.x5 + m.x9 >= 0)
m.e2 = Constraint(expr= -m.x2 - m.x6 + m.x9 >= 0)
m.e3 = Constraint(expr= -m.x3 - m.x7 + m.x10 >= 0)
m.e4 = Constraint(expr= -m.x4 - m.x8 + m.x10 >= 0)
m.e5 = Constraint(expr= 40 / m.x7 - m.x5 <= 0)
m.e6 = Constraint(expr= 50 / m.x8 - m.x6 <= 0)
m.e7 = Constraint(expr= m.x1 - m.x2 + m.x5 + 69 * m.b11 <= 69)
m.e8 = Constraint(expr= -m.x1 + m.x2 + m.x6 + 79 * m.b12 <= 79)
m.e9 = Constraint(expr= m.x3 - m.x4 + m.x7 + 69 * m.b13 <= 69)
m.e10 = Constraint(expr= -m.x3 + m.x4 + m.x8 + 79 * m.b14 <= 79)
m.e11 = Constraint(expr= m.b11 + m.b12 + m.b13 + m.b14 == 1)