Publicity Campaign

    {  Exmpl13.2-1_H2Publicity.mpl  }

    {  Applications of Optimization with Xpress-MP  }

    {  Chapter 13.2, Publicity Campaign,  Size: 2x6,  Page 267 }


TITLE
    H2Publicity;

INDEX
    media := 1..6;

DATA
    Reach[media] := 1000 * ( 12,1.5, 2, 6, 3, 9);
    Cost[media]  := 1000 * (1.5,  8,12, 9,24,51);
    MaxUse[media] := ( 4, 2, 8,60, 4, 8);
    Score[media] := (3,7,8,2,6,9);
    Budget := 250000;
    Target := 100000;


VARIABLE
    HUse[media];

MODEL

    MAX Perceive = SUM(media: Score * HUse);

SUBJECT TO

    Budgetlimits -> BUD:
        SUM(media: Cost * HUse) <= Budget;

    OutreachofCampaign -> ORC:
        SUM(media: Reach * HUse) >= Target;

BOUNDS
    HUse <= MaxUse;

INTEGER
    HUse;

END