SETS
  I    depot             /SOLLEFT, GAVLE /
  J    demandarea        /STOCKHOLM, BODEN/
  V    equipment         /TANK, TGB11 /;


TABLE   DIST(I,J)  distance in kilometers
         STOCKHOLM    BODEN
SOLLEFT     400        350
GAVLE       250        550   ;

PARAMETERS

  DEM(J,V)  demand 
   /STOCKHOLM.TANK           20 
    STOCKHOLM.TGB11          10 
    BODEN.TANK               10 
    BODEN.TGB11              10   /

  W(V)    weight in tons
    /TANK    7
     TGB11   2 /;
   
TABLE A(I,V)  available equipment 
             TANK      TGB11
SOLLEFT        20         10
GAVLE          20         20  ;

TABLE   CAP(I,J)    transportation capacity in tons
            STOCKHOLM      BODEN
SOLLEFT        200          200
GAVLE          100          200

SCALAR C cost of transporting a ton of goods in kronors /3/;

VARIABLES  X(I,J,V)      shipments
           Z             totalcost;

POSITIVE VARIABLE X;

EQUATIONS
    SATDEM(J,V)    fullfillment of aggregate demand
    AVAIL(I,V)     dont exceed available resources
    CAPCON(I,J)    capacity constraint on transportation
    TOTALCOST      totalcost  ;

SATDEM(J,V)   .. SUM((I),X(I,J,V)) =G= DEM(J,V);

AVAIL(I,V)    .. SUM((J),X(I,J,V)) =L= A(I,V);

* Insert the constraints CAPCON here. Observe the syntax carefully.



TOTALCOST     .. Z =E= SUM((I,J,V), C*W(V)*DIST(I,J)*X(I,J,V));

MODEL TRANS2 /ALL/;

SOLVE TRANS2 USING LP MINIMIZING Z;

DISPLAY X.L, Z.L;