### tp011.apm

Model tp011
! Source version 1
Variables
x[1] = 4.9
x[2] = 0.1
obj
End Variables
Equations
(-1)*x[1]^2 + x[2] >= 0
obj = (x[1] - 5)^2 + x[2]^2 - 25
! best known objective = -8.498464223154677
! aux1 = (1/6)*(270 + 6*sqrt(2031))^(1/3) - (270 + 6*sqrt(2031))^(-1/3)
! begin of best known solution
! x[1] = aux1 = 1.234772825053297
! x[2] = x[1]^2 = 1.5246639294901
! end of best known solution
! pay attention, H+S give erroneous formulae for x[1] and x[2]
End Equations
End Model

Stephan K.H. Seidl