tp014.apm

Model tp014
  ! Source version 1

  Variables
    x[1] = 2
    x[2] = 2
    obj
  End Variables

  Equations
    (-1/4)*x[1]^2 - x[2]^2 + 1 >= 0
    x[1] - 2*x[2] + 1 = 0

    obj = (x[1] - 2)^2 + (x[2] - 1)^2

    ! best known objective = 9 - 2.875*sqrt(7) = 1.393464980689302
    ! begin of best known solution
    ! x[1] = 0.5*(sqrt(7) - 1) = 0.8228756555322953
    ! x[2] = 0.25*(sqrt(7) + 1) = 0.9114378277661476
    ! end of best known solution
  End Equations
End Model