#  solve the problem 
#    min c^T x
#    st  0.5 x^T M x <= 14
#        0.5 x^T Q x <= 6
#

var x1;
var x2;

param M11 :=  13;
param M12 :=  4;
param M21 :=  4;
param M22 :=  7;

param Q11 :=  3;
param Q12 :=  -1;
param Q21 :=  -1;
param Q22 :=  3;


param c1 := 0;
param c2 := 1;

minimize obj: c1*x1 + c2*x2 ;

subject to conM: 0.5*(x1**2 * M11 + 2*x1*x2*M12 + x2**2 * M22) <= 14;
subject to conQ: 0.5*(x1**2 * Q11 + 2*x1*x2*Q12 + x2**2 * Q22) <= 6;