In blending problems, two or more raw materials are to be blended into one or more finished goods, satisfying one or more quality requirements on the finished goods. In this example, we blend mixed nuts into four different brands with a goal of maximizing revenue. A detailed discussion of this model may be found in Using Sets.

MODEL:

SETS:

  NUTS / PEANUTS, CASHEWS/: SUPPLY;

  BRANDS / PAWN, KNIGHT, BISHOP, KING/:

   PRICE, PRODUCE;

  NCROSSB( NUTS, BRANDS): FORMULA;

ENDSETS

 

DATA:

  SUPPLY = 750 250;

  PRICE = 2 3 4 5;

  FORMULA = 15 10  6  2

             1  6 10 14;

ENDDATA

 

MAX = @SUM( BRANDS( I):

PRICE( I) * PRODUCE( I));

 

@FOR( NUTS( I):

@SUM( BRANDS( J):

 FORMULA( I, J) * PRODUCE( J) / 16) <=

  SUPPLY( I)

);

END

Model: CHESS