# NLP written by GAMS Convert at 01/12/18 13:31:53
#
# Equation counts
# Total E G L N X C B
# 3 1 0 2 0 0 0 0
#
# Variable counts
# x b i s1s s2s sc si
# Total cont binary integer sos1 sos2 scont sint
# 7 7 0 0 0 0 0 0
# FX 0 0 0 0 0 0 0 0
#
# Nonzero counts
# Total const NL DLL
# 15 10 5 0
#
# Reformulation has removed 1 variable and 1 equation
var x1 >= 0, <= 1;
var x2 := 1, >= 0, <= 1;
var x3 >= 0, <= 1;
var x4 := 1, >= 0, <= 1;
var x5 := 1, >= 0, <= 1;
var x6 := 20, >= 0;
minimize obj: (-0.5*(x1*x1 + x2*x2 + x3*x3 + x4*x4 + x5*x5)) - 10.5*x1 - 7.5*x2
- 3.5*x3 - 2.5*x4 - 1.5*x5 - 10*x6;
subject to
e2: 6*x1 + 3*x2 + 3*x3 + 2*x4 + x5 <= 6.5;
e3: 10*x1 + 10*x3 + x6 <= 20;