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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?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 6EQ: Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of...
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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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