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Nonlinear Objective, Example 13.2-2, Hillier and Lieberman

 
   {  Exmpl13.2-2_NonlinearObjective.mpl  }

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

   {  Chapter 3.2,  Example 2, Nonlinear objective,  Size: 3x2,  Page 659  }


TITLE
    WyndorGlass;

OPTIONS
    ModelType=Nonlinear

INDEX
    product :=  (Door, Window);
    plant   :=  1..3;

DATA
    TimeAvail[plant]             := (4, 12, 18); 

    ProdTime[plant, product]     := (1, 0,
                                     0, 2,
                                     3, 2);
 
VARIABLES                            
    Produce[product] -> Prod;

MODEL

    MAX TotalProfit =   126 Produce[Door]   -  9*Produce[Door]^2
                      + 182 Produce[Window] - 13 Produce[Window]^2;

SUBJECT TO

    TimeCapacity[plant] -> TimeCap:

        SUM(product: ProdTime * Produce) <= TimeAvail;

END



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