# Model tp071
var x_1 >= 1, <= 5;
let x_1 := 1;
var x_2 >= 1, <= 5;
let x_2 := 5;
var x_3 >= 1, <= 5;
let x_3 := 5;
var x_4 >= 1, <= 5;
let x_4 := 1;
minimize obj: x_1*x_4*(x_1 + x_2 + x_3) + x_3;
subject to ci_1: x_1*x_2*x_3*x_4 - 25 >= 0;
subject to ce_1: x_1^2 + x_2^2 + x_3^2 + x_4^2 - 40 = 0;
display obj;
solve;
display obj;
display x_1;
display x_2;
display x_3;
display x_4;
display obj - 17.0140172891563;
display x_1 - 1;
display x_2 - 4.742999637264417;
display x_3 - 3.821149984184874;
display x_4 - 1.379408293172672;