Model hs107 Parameters c = (48.4/50.176)*sin(.25) d = (48.4/50.176)*cos(.25) End Parameters Variables x[1] = .8 x[2] = .8 x[3] = .2 x[4] = .2 x[5] = 1.0454 x[6] = 1.0454 x[7] = 0 x[8] = 0 x[9] = 0 obj End Variables Intermediates y1 = sin(x[8]) y2 = cos(x[8]) y3 = sin(x[9]) y4 = cos(x[9]) y5 = sin(x[8]-x[9]) y6 = cos(x[8]-x[9]) End Intermediates Equations .4-x[1]+2*c*x[5]^2-x[5]*x[6]*(d*y1+c*y2)-x[5]*x[7]*(d*y3+c*y4)=0 .4-x[2]+2*c*x[6]^2+x[5]*x[6]*(d*y1-c*y2)+x[6]*x[7]*(d*y5-c*y6)=0 .8+2*c*x[7]^2+x[5]*x[7]*(d*y3-c*y4)-x[6]*x[7]*(d*y5+c*y6)=0 .2-x[3]+2*d*x[5]^2+x[5]*x[6]*(c*y1-d*y2)+x[5]*x[7]*(c*y3-d*y4)=0 .2-x[4]+2*d*x[6]^2-x[5]*x[6]*(c*y1+d*y2)-x[6]*x[7]*(c*y5+d*y6)=0 -.337+2*d*x[7]^2-x[5]*x[7]*(c*y3+d*y4)+x[6]*x[7]*(c*y5-d*y6)=0 x[1]>=0 x[2]>=0 x[5]>=.90909 x[6]>=.90909 x[7]>=.90909 x[5]<=1.0909 x[6]<=1.0909 x[7]<=1.0909 ! best known objective = 5055.011803 obj = 3000*x[1]+1000*x[1]^3+2000*x[2]+666.667*x[2]^3 End Equations End Model