Model hs117 Parameters a[1][1] = -16 a[1][2] = 2 a[1][3] = 0 a[1][4] = 1 a[1][5] = 0 a[2][1] = 0 a[2][2] = -2 a[2][3] = 0 a[2][4] = 4 a[2][5] = 2 a[3][1] = -3.5 a[3][2] = 0 a[3][3] = 2 a[3][4] = 0 a[3][5] = 0 a[4][1] = 0 a[4][2] = -2 a[4][3] = 0 a[4][4] = -4 a[4][5] = -1 a[5][1] = 0 a[5][2] = -9 a[5][3] = -2 a[5][4] = 1 a[5][5] = -2.8 a[6][1] = 2 a[6][2] = 0 a[6][3] = -4 a[6][4] = 0 a[6][5] = 0 a[7][1] = -1 a[7][2] = -1 a[7][3] = -1 a[7][4] = -1 a[7][5] = -1 a[8][1] = -1 a[8][2] = -2 a[8][3] = -3 a[8][4] = -2 a[8][5] = -1 a[9][1] = 1 a[9][2] = 2 a[9][3] = 3 a[9][4] = 4 a[9][5] = 5 a[10][1] = 1 a[10][2] = 1 a[10][3] = 1 a[10][4] = 1 a[10][5] = 1 b[1] = -40 b[2] = -2 b[3] = -0.25 b[4] = -4 b[5] = -4 b[6] = -1 b[7] = -40 b[8] = -60 b[9] = 5 b[10] = 1 c[1][1] = 30 c[1][2] = -20 c[1][3] = -10 c[1][4] = 32 c[1][5] = -10 c[2][1] = -20 c[2][2] = 39 c[2][3] = -6 c[2][4] = -31 c[2][5] = 32 c[3][1] = -10 c[3][2] = -6 c[3][3] = 10 c[3][4] = -6 c[3][5] = -10 c[4][1] = 32 c[4][2] = -31 c[4][3] = -6 c[4][4] = 39 c[4][5] = -20 c[5][1] = -10 c[5][2] = 32 c[5][3] = -10 c[5][4] = -20 c[5][5] = 30 d[1] = 4 d[2] = 8 d[3] = 10 d[4] = 6 d[5] = 2 e[1] = -15 e[2] = -27 e[3] = -36 e[4] = -18 e[5] = -12 End Parameters Variables x[1:6] = 0.001, >0 x[7] = 60 , >0 x[8:15] = 0.001, >0 End Variables Intermediates ! 1st summation sum1[1:5][0] = 0 sum1[1][1:5] = 2*c[1:5][1] * x[11:15] + 3*d[1] * x[11]^2 + e[1] + sum1[1][0:4] sum1[2][1:5] = 2*c[1:5][2] * x[11:15] + 3*d[2] * x[12]^2 + e[2] + sum1[2][0:4] sum1[3][1:5] = 2*c[1:5][3] * x[11:15] + 3*d[3] * x[13]^2 + e[3] + sum1[3][0:4] sum1[4][1:5] = 2*c[1:5][4] * x[11:15] + 3*d[4] * x[14]^2 + e[4] + sum1[4][0:4] sum1[5][1:5] = 2*c[1:5][5] * x[11:15] + 3*d[5] * x[15]^2 + e[5] + sum1[5][0:4] ! 2nd summation sum2[1:5][0] = 0 sum2[1][1:10] = a[1:10][1]*x[1:10] + sum2[1][0:9] sum2[2][1:10] = a[1:10][2]*x[1:10] + sum2[2][0:9] sum2[3][1:10] = a[1:10][3]*x[1:10] + sum2[3][0:9] sum2[4][1:10] = a[1:10][4]*x[1:10] + sum2[4][0:9] sum2[5][1:10] = a[1:10][5]*x[1:10] + sum2[5][0:9] ! 3rd summation sum3[1:5][0] = 0 sum3[1][1:5] = c[1:5][1]*x[11:15]*x[11] + sum3[1][0:4] sum3[2][1:5] = c[1:5][2]*x[11:15]*x[12] + sum3[2][0:4] sum3[3][1:5] = c[1:5][3]*x[11:15]*x[13] + sum3[3][0:4] sum3[4][1:5] = c[1:5][4]*x[11:15]*x[14] + sum3[4][0:4] sum3[5][1:5] = c[1:5][5]*x[11:15]*x[15] + sum3[5][0:4] End Intermediates Equations sum1[1:5][5] - sum2[1:5][10] >= 0 ! best known objective = 32.34867897 minimize -b[1:10]*x[1:10] minimize sum3[1:5][5] minimize 2*d[1:5]*x[11:15]^3 End Equations End Model