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Due to new environmental restrictions, Hoch Industries must use a new process to reduce pollution. The old process emits 6 g of CO2 and 3 g of lead per liter of chemical made. The new process emits 2 g of CO2 and 4 g of lead per liter of chemical made. The company makes a profit of 25¢ per liter under the old process and 16¢ per liter under the new process. No more than 18,000 g of CO2 and no more than 12,000 g of lead can be emitted daily. How many liters of chemicals should be made daily under each process to maximize profits? What is the maximum profit?

Due to new environmental restrictions, Hoch Industries must use a new process to reduce pollution. The old process emits 6 g of CO2 and 3 g of lead per liter of chemical made. The new process emits 2 g of CO2 and 4 g of lead per liter of chemical made. The company makes a profit of 25¢ per liter under the old process and 16¢ per liter under the new process. No more than 18,000 g of CO2 and no more than 12,000 g of lead can be emitted daily. How many liters of chemicals should be made daily under each process to maximize profits? What is the maximum profit?

Advanced Engineering Mathematics
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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Due to new environmental restrictions, Hoch Industries must use a new process to reduce pollution. The old process emits 6 g of CO2 and 3 g of lead per liter of chemical made. The new process emits 2 g of CO2 and 4 g of lead per liter of chemical made. The company makes a profit of 25¢ per liter under the old process and 16¢ per liter under the new process. No more than 18,000 g of CO2 and no more than 12,000 g of lead can be emitted daily. How many liters of chemicals should be made daily under each process to maximize profits? What is the maximum profit?
Transcribed Image Text:Due to new environmental restrictions, Hoch Industries must use a new process to reduce pollution. The old process emits 6 g of CO2 and 3 g of lead per liter of chemical made. The new process emits 2 g of CO2 and 4 g of lead per liter of chemical made. The company makes a profit of 25¢ per liter under the old process and 16¢ per liter under the new process. No more than 18,000 g of CO2 and no more than 12,000 g of lead can be emitted daily. How many liters of chemicals should be made daily under each process to maximize profits? What is the maximum profit?
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