# NLP written by GAMS Convert at 02/17/22 17:22:52
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         4        0        3        1        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#         4        4        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#         8        8        0
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,27), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,16), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,10), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,10), initialize=0)

m.obj = Objective(sense=minimize, expr= m.x1 * m.x3 + m.x2 * m.x4)

m.e1 = Constraint(expr= m.x1 + 3 * m.x2 >= 30)
m.e2 = Constraint(expr= 2 * m.x1 + m.x2 >= 20)
m.e3 = Constraint(expr= -1.6667 * m.x3 + m.x4 >= 10)
m.e4 = Constraint(expr= m.x3 + m.x4 <= 15)