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• File contains errors, both theoretical and syntax-related, *
• find them and interpret the results of the corrected model *

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SETS
Sources cities that have canning plants that produce cases of canned peaches
/ Seattle
“San Diego”
Topeka
Houston
/
Destination cities that are markets for the canned peaches
/ “New York”
Chicago
/

PARAMETERS
Supply(Sources) Supply available of canned peaches at each source plant in cases
/Seattle 50
“San Diego” 30
Topeka 20
Houston 10
/

Need(Destination) Amount neeeded at each market destination in cases of canned peaches
  /"New York"   55
   Chicago      45
  /;

TABLE Distance(Sources,Destination) Distance in miles

                "New York"     Chicago
  Seattle          20          25
  "San Diego"      15          32
  Topeka           10          15
  Houston          17          19          ;

SCALAR
PrMileCst Freight cost in $ per miles /0.5/ ;

PARAMETER
TranCost(Sources,Destination) Transport cost in dollars per case ;
Trancost(Sources,Destination)
= PrMileCst*Distance(Sources,Destination)

VARIABLE
TotalCost total transportation costs in dollars ;

POSITIVE VARIABLE
Transport(Sources,Destination) shipment quantities in cases ;

EQUATIONS
Costsum total transport cost — objective function
Supplbal(Sources) supply limit at source plants
Demandbal(Destination) demand at destinations ;

Costsum..
TotalCost
=e= SUM((Sources,Destination),
Trancost(Sources,Destination)*Transport(Sources,Destination)) ;

Supplbal(Sources)..
SUM(Destination, Transport(Sources,Destination))
=l= Supply(Sources) ;

Demandbal(Destination)..
SUM(Sources, Transport(Sources,Destination))
=e= Need(Destination);

MODEL Transports /All/ ;

SOLVE Transports using lp minimizing TotalCost ;
display transport.L, transport.M;

• The display command is used simply to build a simple report for the optimal solution level (transport.L) and reduced costs
• of transport (transport.M) var