$ondollar title Two Crude Petroleum (LP) Example 2.1 of Rardin (1998)

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

free variable cost;

positive variables
x1 "thousands of barrels of Saudi crude",
x2 "thousands of barrels Venezuelan crude";

equations
obj "min total cost",
gas "gasoline requirement",
jet "jet fuel requirement",
lub "lubricant requirement",
saudi "Saudi availability",
venez "Venezuelan availability";

obj..
cost =e= 20*x1 + 15*x2;

gas..
0.3*x1+0.4*x2 =g= 2.0;

jet..
0.4*x1+0.2*x2 =g= 1.5;

lub..
0.2*x1+0.3*x2 =g= 0.5;

saudi..
x1 =l= 9;

venez..
x2 =l= 6;

model twocrude /all/;

solve twocrude using lp minimizing cost;