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Upper Bound, Example 7.3-1, Hillier and Lieberman

 
   {  Exmpl_7.3-1_UpperBound.mpl  }

   {  Hillier and Lieberman, Introduction to Operations Research, 7th ed.  }

   {  Chapter 7.3,  Example 1,  Upper Bound Technique,  Size: 2x3,  Page 319  }


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



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