Finite Mathematics and Calculus with Applications
1 day, 23 hours ago
An oil refinery produces gasoline, jet fuel, and diesel fuel. The profits per gallon from the sale of these fuels are $0.15, $0.12, and $0.10 respectively. The refinery has a contract with an airline to deliver a minimum of 20,000 gallons per day of jet fuel and/or gasoline (or some of each). The refinery has a contract with a trucking firm to deliver a minimum of 50,000 gallons per day of jet 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 5,000 gallons per day of each type of fuel. How many gallons of each should be produced daily in order to maximize the profit?