A small petroleum company owns two refineries. Refinery 1 costs P25,000 per day to operate, and it can produce 300 barrels of high-grade oil, 200 barrels of medium-grade oil, and 150 barrels of low-grade oil each day. Refinery 2 is newer and more modern. It costs P30,000 per day to operate, and it can produce 300 barrels of high-grade oil, 250 barrels of medium-grade oil, and 400 barrels of low-grade oil each day. The company has orders totaling 35,000 barrels of high-grade oil, 30,000 barrels of medium-grade oil, and 40,000 barrels of low-grade oil. How many days should the company run each refinery to minimize its costs and still meet its orders?
A small petroleum company owns two refineries. Refinery 1 costs P25,000 per day to operate, and it can produce 300 barrels of high-grade oil, 200 barrels of medium-grade oil, and 150 barrels of low-grade oil each day. Refinery 2 is newer and more modern. It costs P30,000 per day to operate, and it can produce 300 barrels of high-grade oil, 250 barrels of medium-grade oil, and 400 barrels of low-grade oil each day. The company has orders totaling 35,000 barrels of high-grade oil, 30,000 barrels of medium-grade oil, and 40,000 barrels of low-grade oil. How many days should the company run each refinery to minimize its costs and still meet its orders?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A small petroleum company owns two refineries. Refinery 1 costs P25,000 per day to
operate, and it can produce 300 barrels of high-grade oil, 200 barrels of medium-grade
oil, and 150 barrels of low-grade oil each day. Refinery 2 is newer and more modern. It
costs P30,000 per day to operate, and it can produce 300 barrels of high-grade oil, 250
barrels of medium-grade oil, and 400 barrels of low-grade oil each day. The company
has orders totaling 35,000 barrels of high-grade oil, 30,000 barrels of medium-grade oil,
and 40,000 barrels of low-grade oil. How many days should the company run each
refinery to minimize its costs and still meet its orders?
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