Safety-Kleen operates the world's largest oil refinery at Elgin, Illinois. You have been hired by the company to determine how to allocate its intake of up to 60 million gallons of used oil to its three refinery processes: A, B, and C. You are told that electricity costs for process A amount to $150,000 per million gallons treated, while for processes B and C, the costs are respectively $100,000 and $50,000 per million gallons treated. Process A can

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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Safety-Kleen operates the world's largest
oil refinery at Elgin, Illinois. You have been
hired by the company to determine how
to allocate its intake of up to 60 million
gallons of used oil to its three refinery
processes: A, B, and C. You are told that
electricity costs for process A amount to
$150,000 per million gallons treated,
while for processes B and C, the costs
are respectively $100,000 and $50,000
per million gallons treated. Process A can
recover 60 percent of the used oil,
process B can recover 55 percent, and
process C can recover only 50 percent.
Assuming a revenue of $4 million per
million gallons of recovered oil and an
annual electrical budget of $3.6 million,
how much used oil would you allocate to
each process in order to maximize total
revenues?
Transcribed Image Text:Safety-Kleen operates the world's largest oil refinery at Elgin, Illinois. You have been hired by the company to determine how to allocate its intake of up to 60 million gallons of used oil to its three refinery processes: A, B, and C. You are told that electricity costs for process A amount to $150,000 per million gallons treated, while for processes B and C, the costs are respectively $100,000 and $50,000 per million gallons treated. Process A can recover 60 percent of the used oil, process B can recover 55 percent, and process C can recover only 50 percent. Assuming a revenue of $4 million per million gallons of recovered oil and an annual electrical budget of $3.6 million, how much used oil would you allocate to each process in order to maximize total revenues?
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