House Plan Design

    {  House.mpl  }

    {  GAMS Model Library, http://www.gams.com/modlib/libhtml/house.htm  }

    {  House Plan Design, Non Linear, Size: 8 x 8  }

TITLE
    House;

Option
    Modeltype=nonlinear

VARIABLE
    X   INITIAL 30;
    Y;
    Z;
    B   INITIAL 68;
    A;
    L;
    A1;
    A2;

MODEL

    MAX Ta = A1 + A2;

SUBJECT TO

    Defa1: A1 = X * Y + A * B;

    Defa2: A2 = X * Z;

    Minw:  X >= B / 3;

    Maxw:  X <= B / 2;

    Minp:  Y * (B - X) >= 1500;

    Defl:  L = Y + A;

    Balk:  Z = A + Y / 2;

    Prop:  A >= Y / 2;

BOUNDS
    B  >= 40;
    B  <= 68;
    L  >= 56;
    L  <= 100;
    A1 <= 3000;