Oilco must determine how many barrels of oil to extract during each of the next 2 years. If Oilco extracts x 1 million barrels during year 1, each barrel can be sold for 80 - x 1 dollars. If Oilco...


Oilco must determine how many barrels of oil to extract during each of the next 2 years. If Oilco extracts x1
million barrels during year 1, each barrel can be sold for 80 - x1
dollars. If Oilco extracts x2
million barrels during year 2, each barrel can be sold for 85 - x2
dollars. The cost of extracting x1million barrels during year 1 is 2 x1
2 million dollars, and the cost of extracting x2million barrels during year 2 is 3 x2

2

million dollars. A total of 20 million barrels of oil are available, and at most $250 million can be spent on extraction. Determine how Oilco can maximize its profit (revenues less costs) for the next 2 years.



May 25, 2022
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