# Model tp059r
# Source version 2
# Simple APM canonicalizer version 1.3
# AMPL backend version 1.1
param c20a := -0.12694;
param c20b := 0;
param c12a := -3.4054e-4;
param c12b := -3.405e-4;
param c20 := c20a;
param c12 := c12a;
var x_1 >= 0, <= 20;
let x_1 := 90;
var x_2 >= 0, <= 65;
let x_2 := 10;
var myminfun = (-75.196) + 3.8112*x_1 + c20*x_1^2 + 0.0020567*x_1^3 - 1.0345e-5*x_1^4 + 6.8306*x_2 -
0.030234*x_1*x_2 + 1.28134e-3*x_2*x_1^2 + 2.266e-7*x_1^4*x_2 - 0.25645*x_2^2 + 0.0034604*x_2^3 -
1.3514e-5*x_2^4 + 28.106/(x_2 + 1) + 5.2375e-6*x_1^2*x_2^2 + 6.3e-8*x_1^3*x_2^2 - 7e-10*x_1^3*x_2^3 +
c12*x_1*x_2^2 + 1.6638e-6*x_1*x_2^3 + 2.8673*exp(0.0005*x_1*x_2) - 3.5256e-5*x_1^3*x_2;
var myabsdevnod0_0 = abs(myminfun + 7.804235953664777);
var myreldevnod0_0 = abs(myminfun/7.804235953664777 + 1);
var myabsdevnod0_1 = abs(x_1 - 13.55008884043414);
var myreldevnod0_1 = abs(x_1/13.55008884043414 - 1);
var myabsdevnod0_2 = abs(x_2 - 51.6601778957467);
var myreldevnod0_2 = abs(x_2/51.6601778957467 - 1);
var myabsdevnod1_0 = (1/2)*(abs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1));
var myreldevnod1_0 = (1/2)*(abs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1));
var myabsdevnod1_2 = myabsdevnod0_2;
var myreldevnod1_2 = myreldevnod0_2;
var myabsdevnod2_0 = (1/2)*(abs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2));
var myreldevnod2_0 = (1/2)*(abs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2));
var zmyabsdevmax = myabsdevnod2_0;
var zmyreldevmax = myreldevnod2_0;
minimize obj: myminfun;
subject to ci_1: x_1*x_2 - 700 >= 0;
subject to ci_2: x_2 - x_1^2/125 >= 0;
subject to ci_3: (x_2 - 50)^2 - 5*(x_1 - 55) >= 0;
solve;
display x_1;
display x_2;
display myminfun;
display zmyabsdevmax;
display zmyreldevmax;
# End Model