# Model tp112
param b3a := -1;
param b3b := 0;
param b3 := b3a;
param c_1 := -6.089;
param c_2 := -17.164;
param c_3 := -34.054;
param c_4 := -5.914;
param c_5 := -24.721;
param c_6 := -14.986;
param c_7 := -24.100;
param c_8 := -10.708;
param c_9 := -26.662;
param c_10 := -22.179;
param si_0 := 0;
param so_0 := 0;
var x_1 >= 1.0e-6;
let x_1 := 0.1;
var x_2 >= 1.0e-6;
let x_2 := 0.1;
var x_3 >= 1.0e-6;
let x_3 := 0.1;
var x_4 >= 1.0e-6;
let x_4 := 0.1;
var x_5 >= 1.0e-6;
let x_5 := 0.1;
var x_6 >= 1.0e-6;
let x_6 := 0.1;
var x_7 >= 1.0e-6;
let x_7 := 0.1;
var x_8 >= 1.0e-6;
let x_8 := 0.1;
var x_9 >= 1.0e-6;
let x_9 := 0.1;
var x_10 >= 1.0e-6;
let x_10 := 0.1;
var cf_1 = x_1 + 2*x_2 + 2*x_3 + x_6 + x_10 - 2;
var cf_2 = x_4 + 2*x_5 + x_6 + x_7 - 1;
var cf_3 = x_3 + x_7 + x_8 + 2*x_9 + x_10 + b3;
var si_1 = si_0 + x_1;
var si_2 = si_1 + x_2;
var si_3 = si_2 + x_3;
var si_4 = si_3 + x_4;
var si_5 = si_4 + x_5;
var si_6 = si_5 + x_6;
var si_7 = si_6 + x_7;
var si_8 = si_7 + x_8;
var si_9 = si_8 + x_9;
var si_10 = si_9 + x_10;
var aux = si_10;
var so_1 = so_0 + x_1*(c_1 + log(x_1/aux));
var so_2 = so_1 + x_2*(c_2 + log(x_2/aux));
var so_3 = so_2 + x_3*(c_3 + log(x_3/aux));
var so_4 = so_3 + x_4*(c_4 + log(x_4/aux));
var so_5 = so_4 + x_5*(c_5 + log(x_5/aux));
var so_6 = so_5 + x_6*(c_6 + log(x_6/aux));
var so_7 = so_6 + x_7*(c_7 + log(x_7/aux));
var so_8 = so_7 + x_8*(c_8 + log(x_8/aux));
var so_9 = so_8 + x_9*(c_9 + log(x_9/aux));
var so_10 = so_9 + x_10*(c_10 + log(x_10/aux));
var mf = so_10;
minimize obj: mf;
subject to ce_1: cf_1 = 0;
subject to ce_2: cf_2 = 0;
subject to ce_3: cf_3 = 0;
display obj;
solve;
display obj;
display x_1;
display x_2;
display x_3;
display x_4;
display x_5;
display x_6;
display x_7;
display x_8;
display x_9;
display x_10;
display obj + 47.76109085936586;
display x_1 - 0.04066808735569023;
display x_2 - 0.1477303543408223;
display x_3 - 0.7831533540092339;
display x_4 - 0.001414219809030122;
display x_5 - 0.485246648699273;
display x_6 - 0.0006931720784207306;
display x_7 - 0.02739931071400318;
display x_8 - 0.01794727958492589;
display x_9 - 0.03731436591303018;
display x_10 - 0.09687132386577663;