param a{1..21};

var
    x {1..5};
param best_val_found := 5280335.111;
param eps := 52803.35111; 		# = max(1, 1% x best_val_found)

subject to f: 
        a[1] + x[1] * (a[2] + a[3]*x[2] + a[4]*x[3] + a[5]*x[4] + a[6]*x[5]) >= best_val_found - eps;
subject to
cons1:         x[1] >= 0;
cons2:         x[1] <= 1000;
cons3:         x[2] >= 1.2;
cons4:         x[2] <= 2.4;    
cons5:         x[3] >= 20;
cons6:         x[3] <= 60;
cons7:         x[4] >= 9;
cons8:         x[4] <= 9.3;
cons9:         x[5] >= 6.5;
cons10:         x[5] <= 7;
cons11:         x[1] * (a[7] + a[8]*x[2] + a[9]*x[3] + a[10]*x[4] + a[11]*x[5]) <= 294000;
cons12:         x[1] * (a[7] + a[8]*x[2] + a[9]*x[3] + a[10]*x[4] + a[11]*x[5]) >= 0;
cons13:         x[1] * (a[12] + a[13]*x[2] + a[14]*x[3] + a[15]*x[4] + a[16]*x[5]) <= 294000;
cons14:         x[1] * (a[12] + a[13]*x[2] + a[14]*x[3] + a[15]*x[4] + a[16]*x[5]) >= 0;
cons15:         x[1] * (a[17] + a[18]*x[2] + a[19]*x[3] + a[20]*x[4] + a[21]*x[5]) >= 0;
cons16:         x[1] * (a[17] + a[18]*x[2] + a[19]*x[3] + a[20]*x[4] + a[21]*x[5]) <= 277200;

data;
param a:=
1        -24345,
2        -8720288.849,
3        150512.5233,
4        -156.6950325,
5        476470.3222,
6        729482.8271,
7        -145421.402,
8        3931.1506,
9        -40.4279932,
10        5106.192,
11       15711.36,
12        -155011.1084,
13        4360.53352,
14        12.9492344,
15        10236.884,
16        13176.786,
17        -326669.5104,
18        7390.68412,
19        -27.8986976,
20        16643.076,
21        30988.146;

solve;
display x;