Three types of gasoline are manufactured by a company – Regular, Super, and Extra. Regular should have at least 11percent additive 1 and 17 percent additive 2. Super should have at least 13 percent additive 1 and 22 percent additive 2. Extra should have at least 17 percent additive 1 and 19 percent additive 2. These are made by using two crudes – A and B. Crude A cost $28 per barrel and is 14 percent additive 1 and 18 percent additive 2. Crude B costs $30 per barrel and is 20 percent additive 1 and 24 percent additive 2. The demand for Regular is projected to be 1,000 barrels, while each of the others has a demand of 2,000 barrels. Formulate this as a linear programming problem to minimize cost while meeting all constraints. Remember to carefully define all decision variables and do not forget to indicate the optimal answer! (Blending application)
Three types of gasoline are manufactured by a company – Regular, Super, and Extra. Regular should have at least 11percent additive 1 and 17 percent additive 2. Super should have at least 13 percent additive 1 and 22 percent additive 2. Extra should have at least 17 percent additive 1 and 19 percent additive 2. These are made by using two crudes – A and B. Crude A cost $28 per barrel and is 14 percent additive 1 and 18 percent additive 2. Crude B costs $30 per barrel and is 20 percent additive 1 and 24 percent additive 2. The demand for Regular is projected to be 1,000 barrels, while each of the others has a demand of 2,000 barrels. Formulate this as a linear programming problem to minimize cost while meeting all constraints. Remember to carefully define all decision variables and do not forget to indicate the optimal answer! (Blending application)
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