# Hands On 3 Errors – Bruce McCarl

**Source**: https://agecoresearch.tamu.edu/mccarl/classes-i-teach/hands-on-3-errors/
**Parent**: https://agecoresearch.tamu.edu/mccarl/

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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