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- SETS
- I canning plants / SEATTLE, SAN-DIEGO /
- J markets / NEW-YORK, CHICAGO, TOPEKA / ;
- PARAMETERS
- A(I) capacity of plant i in cases
- / SEATTLE 350
- SAN-DIEGO 600 /
- B(J) demand at market j in cases
- / NEW-YORK 325
- CHICAGO 300
- TOPEKA 275 / ;
- TABLE D(I,J) distance in thousands of miles
- NEW-YORK CHICAGO TOPEKA
- SEATTLE 2.5 1.7 1.8
- SAN-DIEGO 2.5 1.8 1.4 ;
- SCALAR F freight in dollars per case per thousand miles /90/ ;
- PARAMETER C(I,J) transport cost in thousands of dollars per case ;
- C(I,J) = F * D(I,J) / 1000 ;
- VARIABLES
- X(I,J) shipment quantities in cases
- Z total transportation costs in thousands of dollars ;
- POSITIVE VARIABLE X ;
- EQUATIONS
- COST define objective function
- SUPPLY(I) observe supply limit at plant i
- DEMAND(J) satisfy demand at market j ;
- COST .. Z =E= SUM((I,J), C(I,J)*X(I,J)) ;
- SUPPLY(I) .. SUM(J, X(I,J)) =L= A(I) ;
- DEMAND(J) .. SUM(I, X(I,J)) =G= B(J) ;
- MODEL TRANSPORT /ALL/ ;
- SOLVE TRANSPORT USING LP MINIMIZING Z ;
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