Upper Bound

   {  Exmpl7.3-1_UpBound.mpl  }

   {  Hillier and Lieberman, Introduction to Operations Research, 9th ed.  }

   {  Chapter 7.3, Example 1, Upper Bound,  Size: 2x3,  Page 286  }

TITLE
    Upper_Bound;


INDEX
    activity1     :=  (Activity1,Activity2,Activity3);
    constraint1   :=  (Constraint1,Constraint2);

DATA
    ResourceAvail[constraint1]         := (12,4);

    ResourceUse[constraint1, activity1] := (4,1,0,
                                           -2,0,1);

    UnitProfit[activity1]              := (2,1,2);

    UpperBound1[activity1]              := (4,15,6);

VARIABLES
    Produce[activity1] -> Prod;

MODEL

    MAX TotalProfit
      = SUM(activity1: UnitProfit * Produce);

SUBJECT TO

    TimeCapacity[constraint1] -> TimeCap:

        SUM(activity1: ResourceUse * Produce) <= ResourceAvail;

BOUNDS
        Produce  <= UpperBound1;

END