Description
A refinery has to blend 4 types of oil to obtain 3 types of gasoline. The following table reports the available quantity of oil of each type (in barrels) and the respective unit cost (Euro per barrel)
Oil type Availability Cost
1 5000 9
2 2400 7
3 4000 12
4 1500 6
Blending constraints are to be taken into account, since each type of gasoline must contain at least a specific, predefined, quantity of each type of oil, as indicated in the next table. The unit revenue of each type of gasoline (Euro per barrel) is also indicated
Gasoline type Requirements Revenue
A 20% of type 2 12
B 30% of type 3 40% of type 3 18
C 50% of type 2 10
Give a linear programming formulation for the problem of maximizing the revenue. Formulate it with AMPL and solve it with CPLEX.
