Refining A refinery has two smelters that extract metallic ironfrom iron ore. Smelter A processes 1000 tons of iron ore per hour and uses 7 megawatts of energy per hour. Smelter B pro- cesses 2000 tons of iron ore per hour and uses 13 megawatts of energy per hour. Each refinery must be operated at least 8 hours per day and, of course, no more than 24 hours. If the refinery must process at least 30,000 tons of iron ore per day, how many hours should each smelter operate in order to expend as little energy as possible?
Refining A refinery has two smelters that extract metallic ironfrom iron ore. Smelter A processes 1000 tons of iron ore per hour and uses 7 megawatts of energy per hour. Smelter B pro- cesses 2000 tons of iron ore per hour and uses 13 megawatts of energy per hour. Each refinery must be operated at least 8 hours per day and, of course, no more than 24 hours. If the refinery must process at least 30,000 tons of iron ore per day, how many hours should each smelter operate in order to expend as little energy as possible?
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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Refining A refinery has two smelters that extract metallic ironfrom iron ore. Smelter A processes 1000 tons of iron ore per
hour and uses 7 megawatts of energy per hour. Smelter B pro-
cesses 2000 tons of iron ore per hour and uses 13 megawatts
of energy per hour. Each refinery must be operated at least
8 hours per day and, of course, no more than 24 hours. If
the refinery must process at least 30,000 tons of iron ore per
day, how many hours should each smelter operate in order to
expend as little energy as possible?
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