# Model tp104
var x_1 >= .1, <= 10;
let x_1 := 6;
var x_2 >= .1, <= 10;
let x_2 := 3;
var x_3 >= .1, <= 10;
let x_3 := .4;
var x_4 >= .1, <= 10;
let x_4 := .2;
var x_5 >= .1, <= 10;
let x_5 := 6;
var x_6 >= .1, <= 10;
let x_6 := 6;
var x_7 >= .1, <= 10;
let x_7 := 1;
var x_8 >= .1, <= 10;
let x_8 := .5;
var c_1 = 1 - .0588*x_5*x_7 - .1*x_1;
var c_2 = 1 - .0588*x_6*x_8 - .1*x_1 - .1*x_2;
var c_3 = 1 - 4*x_3/x_5 - 2/(x_3^.71*x_5) - .0588*x_7/x_3^1.3;
var c_4 = 1 - 4*x_4/x_6 - 2/(x_4^.71*x_6) - .0588*x_8/x_4^1.3;
var mf = .4*(x_1/x_7)^.67 + .4*(x_2/x_8)^.67 + 10 - x_1 - x_2;
var c_5 = mf - 1;
var c_6 = 4.2 - mf;
minimize obj: mf;
subject to ci_1: c_1 >= 0;
subject to ci_2: c_2 >= 0;
subject to ci_3: c_3 >= 0;
subject to ci_4: c_4 >= 0;
subject to ci_5: c_5 >= 0;
subject to ci_6: c_6 >= 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 obj - 3.951163440103356;
display x_1 - 6.465114028369101;
display x_2 - 2.232708647985228;
display x_3 - 0.6673974912866293;
display x_4 - 0.595756422900371;
display x_5 - 5.932675677909848;
display x_6 - 5.527234564976939;
display x_7 - 1.013322008902561;
display x_8 - 0.400668229125703;