An oil refinery can buy two types of oil: light crude oil and heavy crude oil. The cost per barrel of each type is $20 and $15, respectively. The following quantities of gasoline, kerosene, and jet fuel are produced per barrel of each type of crude oil. GASOLINE KEROSENE JET FUEL Light crude oil 0.4 barrel 0.2 barrel 0.35 barrel Heavy crude oil 0.32 barrel 0.4 barrel 0.2 barrel The refinery has contracted to deliver 1 million barrels of gasoline, 500,000 barrels of kerosene, and 300,000 barrels of jet fuel. Let x = number of barrels of light crude oil processed, and y = number of barrels of heavy crude oil processed. Using these decision variables, formulate an LP model to find the number of barrels of each crude oil that satisfies the demand and minimizes the total cost.
An oil refinery can buy two types of oil: light crude oil and heavy crude oil. The cost per barrel of each type is $20 and $15, respectively. The following quantities of gasoline, kerosene, and jet fuel are produced per barrel of each type of crude oil.
|
|
GASOLINE |
KEROSENE |
JET FUEL |
|
Light crude oil |
0.4 barrel |
0.2 barrel |
0.35 barrel |
|
Heavy crude oil |
0.32 barrel |
0.4 barrel |
0.2 barrel |
The refinery has contracted to deliver 1 million barrels of gasoline, 500,000 barrels of kerosene, and 300,000 barrels of jet fuel. Let x = number of barrels of light crude oil processed, and y = number of barrels of heavy crude oil processed. Using these decision variables, formulate an LP model to find the number of barrels of each crude oil that satisfies the demand and minimizes the total cost.
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