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

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

free variable profit "total profit";

positive variables
x1 "football trophies",
x2 "soccer trophies";

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

obj..
profit =e= 12*x1 + 9*x2;

foot..
x1 =l= 1000;

socc..
x2 =l= 1500;

plaq..
x1 + x2 =l= 1750;

wood..
4*x1 +2*x2 =l= 4800;

model topbrass /all/;

solve topbrass using lp maximizing profit;