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Because of new federal regulations on pollution, a chemical plant introduced a new, more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 8 grams of sulfur dioxide and 24 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 2 grams of sulfur dioxide and 8 grams of particulate matter for each gallon produced. The company makes a profit of 70 per gallon and 20 per gallon on the old and new processes, respectively. Answer parts (A) through (C) below. (A) If the government allows the plant to emit no more than 7,600 grams f sulfur dioxide and 19,200 grams of particulate matter daily, how many gallons of the chemical should be produced by each process to maximize daily profit? What is the maximum daily profit? Summarize the model. Maximize subject to | x, ya 7,600 ▼19,200 0 Objective function Sulfur dioxide constraint Particulate constraint Nonnegative constraint

Because of new federal regulations on pollution, a chemical plant introduced a new, more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 8 grams of sulfur dioxide and 24 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 2 grams of sulfur dioxide and 8 grams of particulate matter for each gallon produced. The company makes a profit of 70 per gallon and 20 per gallon on the old and new processes, respectively. Answer parts (A) through (C) below. (A) If the government allows the plant to emit no more than 7,600 grams f sulfur dioxide and 19,200 grams of particulate matter daily, how many gallons of the chemical should be produced by each process to maximize daily profit? What is the maximum daily profit? Summarize the model. Maximize subject to | x, ya 7,600 ▼19,200 0 Objective function Sulfur dioxide constraint Particulate constraint Nonnegative constraint

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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Because of new federal regulations on pollution, a chemical plant introduced a new, more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 8 grams of sulfur dioxide and 24 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 2 grams f sulfur dioxide and 8 grams of particulate matter for each gallon produced. The company makes a profit of 70¢ per gallon 20¢ per gallon on the old and new processes, respectively. Answer parts (A) through (C) below. (A) If the government allows the plant to emit no more than 7,600 grams of sulfur dioxide and 19,200 grams of particulate matter daily, how many gallons of the chemical should be produced by each process to maximize daily profit? What is the maximum daily profit? Summarize the model. Maximize subject to | X, y z ▼ ▼7,600 19,200 0 -C Objective function Sulfur dioxide constraint Particulate constraint Nonnegative constraint
Transcribed Image Text:Because of new federal regulations on pollution, a chemical plant introduced a new, more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 8 grams of sulfur dioxide and 24 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 2 grams f sulfur dioxide and 8 grams of particulate matter for each gallon produced. The company makes a profit of 70¢ per gallon 20¢ per gallon on the old and new processes, respectively. Answer parts (A) through (C) below. (A) If the government allows the plant to emit no more than 7,600 grams of sulfur dioxide and 19,200 grams of particulate matter daily, how many gallons of the chemical should be produced by each process to maximize daily profit? What is the maximum daily profit? Summarize the model. Maximize subject to | X, y z ▼ ▼7,600 19,200 0 -C Objective function Sulfur dioxide constraint Particulate constraint Nonnegative constraint
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