# Model tp040r
param lbx3 := 0;
var x_1;
let x_1 := 0.8;
var x_2;
let x_2 := 0.8;
var x_3 >= lbx3;
let x_3 := 0.8;
var x_4;
let x_4 := 0.8;
minimize obj: -x_1*x_2*x_3*x_4;
subject to ce_1: x_1^3 + x_2^2 - 1 = 0;
subject to ce_2: x_1^2*x_4 - x_3 = 0;
subject to ce_3: x_4^2 - x_2 = 0;
display obj;
solve;
display obj;
display x_1;
display x_2;
display x_3;
display x_4;
display obj + 0.25;
display x_1 - 0.7937005259840997;
display x_2 - 0.7071067811865475;
display x_3 - 0.5297315471796476;
display x_4 - 0.8408964152537145;