# Model tp063
var x_1 >= 0;
let x_1 := 2;
var x_2 >= 0;
let x_2 := 2;
var x_3 >= 0;
let x_3 := 2;
minimize obj: 1000 - x_1^2 - 2*x_2^2 - x_3^2 - x_1*x_2 - x_1*x_3;
subject to ce_1: 8*x_1 + 14*x_2 + 7*x_3 - 56 = 0;
subject to ce_2: x_1^2 + x_2^2 + x_3^2 - 25 = 0;
display obj;
solve;
display obj;
display x_1;
display x_2;
display x_3;
display obj - 961.7151721300522;
display x_1 - 3.51212134187472;
display x_2 - 0.2169879415152231;
display x_3 - 3.552171154827017;