$ondollar title Top Brass (LP) Example 5.1 of Rardin (1998)  (modified)

$offsymxref offsymlist offuelxref offuellist offupper
option limrow = 0, limcol = 0;

set I/football, soccer/;

free variable profit "total profit";

positive variables
x(I) "trophies";

equations
obj    "max total profit"
foot   "brass footballs"
socc   "brass soccer balls",
plaq   "brass plaques",
wood   "bdft wood";

obj..
profit =e= 12*x("football") + 9*x("soccer");

foot..
x("football") =l= 1000;

socc..
x("soccer") =l= 1500;

plaq..
x("football") + x("soccer") =l= 1750;

wood..
4*x("football") +2*x("soccer") =l= 4800;

model topbrass /all/;

solve topbrass using lp maximizing profit;