An oil refinery produces gasoline, jet fuel, and diesel fuel. The profit per gal

Question

An oil refinery produces gasoline, jet fuel, and diesel fuel.  The profit per gallon from the sale of these fuels are $.15, $.12, and $.10, respectively.  The refinery has a contract with an airline to deliver a minimum of 20,000 gallons per day to jet fuel and/or gasoline(or some of each).  It has a contract with a trucking firm to deliver a minimum of 50,000 gallons per day of diesel fuel and/or gasoline (or some of each).  The refinery can produce 100,000 gallons of fuel per day, distributed among the fuels in any fashion.  It wishes to produce at least 5000 gallons per day of each fuel.  How many gallons of each should be produced to maximize the daily product?

Explanation / Answer

Is there a particular method that needs to be used here?

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