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Pollution Control Because of new federal regulations on pollution, a chemical plant introduced a new and more expensive process to supplement or replace an older process used in the pr and 40 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 5 grams of sulfur dioxide and 20 grams of particulate matter into the at per gallon on the old process and 20 cents per gallon on the new process. If the government allows the plant to emit no more than 16,000 grams of sulfur dioxide and 30,000 grams of partic produced by each process to maximize daily profit? What is the daily profit? Let o = the number of gallons of the chemical produced by the old process, and Let n = the number of gallons of the chemical produced by the new process Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P = 0.20% +0.60* Constraints: 200+5n> 16000, 400 + 20n <= 30000, >= 0, >=0 O Objective Function: Maximize Profit, P = 0.60*o +0.20* Constraints: 200 + 5n>=30000, 400 + 20n>= 16000, o>= 0, >= 0 O Objective Function: Maximize Profit, P = 0.60*o +0.20* Constraints: 200 +5n<= 16000, 400 + 20n <=30000, o>= 0, >= 0 O Objective Function: Maximize Profit, P=0.60*o +0.20 Constraints: 400+5n <= 30000, 200 + 20n <= 16000, o >= 0, n>= 0

Pollution Control Because of new federal regulations on pollution, a chemical plant introduced a new and more expensive process to supplement or replace an older process used in the pr and 40 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 5 grams of sulfur dioxide and 20 grams of particulate matter into the at per gallon on the old process and 20 cents per gallon on the new process. If the government allows the plant to emit no more than 16,000 grams of sulfur dioxide and 30,000 grams of partic produced by each process to maximize daily profit? What is the daily profit? Let o = the number of gallons of the chemical produced by the old process, and Let n = the number of gallons of the chemical produced by the new process Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P = 0.20% +0.60* Constraints: 200+5n> 16000, 400 + 20n <= 30000, >= 0, >=0 O Objective Function: Maximize Profit, P = 0.60*o +0.20* Constraints: 200 + 5n>=30000, 400 + 20n>= 16000, o>= 0, >= 0 O Objective Function: Maximize Profit, P = 0.60*o +0.20* Constraints: 200 +5n<= 16000, 400 + 20n <=30000, o>= 0, >= 0 O Objective Function: Maximize Profit, P=0.60*o +0.20 Constraints: 400+5n <= 30000, 200 + 20n <= 16000, o >= 0, n>= 0

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Pollution Control Because of new federal regulations on pollution, a chemical plant introduced a new and more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 20 grams of sulfur dioxide and 40 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 5 grams of sulfur dioxide and 20 grams of particulate matter into the atmosphere for each gallon of chemical produced. The company makes a profit of 60 cents per gallon on the old process and 20 cents per gallon on the new process. If the government allows the plant to emit no more than 16,000 grams of sulfur dioxide and 30,000 grams of particulate matter into the atmosphere daily, how many gallons of the chemical should be produced by each process to maximize daily profit? What is the daily profit? Let o = the number of gallons of the chemical produced by the old process, and Let n = the number of gallons of the chemical produced by the new process Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P = 0.20*o + 0.60*n Constraints: 200 + 5n >= 16000, 400 + 20n <= 30000, o >= 0, n>= 0 O Objective Function: Maximize Profit, P = 0.60*o + 0.20*n Constraints: 200 + 5n >= 30000, 400 + 20n >= 16000, o >= 0, n>= 0 O Objective Function: Maximize Profit, P = 0.60*o + 0.20*n Constraints: 200 + 5n <= 16000, 400 + 20n <= 30000, o >= 0, n>= 0 O Objective Function: Maximize Profit, P = 0.60*o + 0.20*n Constraints: 400 + 5n <= 30000, 200 + 20n <= 16000, o >= 0, n>= 0
Transcribed Image Text:Pollution Control Because of new federal regulations on pollution, a chemical plant introduced a new and more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 20 grams of sulfur dioxide and 40 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 5 grams of sulfur dioxide and 20 grams of particulate matter into the atmosphere for each gallon of chemical produced. The company makes a profit of 60 cents per gallon on the old process and 20 cents per gallon on the new process. If the government allows the plant to emit no more than 16,000 grams of sulfur dioxide and 30,000 grams of particulate matter into the atmosphere daily, how many gallons of the chemical should be produced by each process to maximize daily profit? What is the daily profit? Let o = the number of gallons of the chemical produced by the old process, and Let n = the number of gallons of the chemical produced by the new process Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P = 0.20*o + 0.60*n Constraints: 200 + 5n >= 16000, 400 + 20n <= 30000, o >= 0, n>= 0 O Objective Function: Maximize Profit, P = 0.60*o + 0.20*n Constraints: 200 + 5n >= 30000, 400 + 20n >= 16000, o >= 0, n>= 0 O Objective Function: Maximize Profit, P = 0.60*o + 0.20*n Constraints: 200 + 5n <= 16000, 400 + 20n <= 30000, o >= 0, n>= 0 O Objective Function: Maximize Profit, P = 0.60*o + 0.20*n Constraints: 400 + 5n <= 30000, 200 + 20n <= 16000, o >= 0, n>= 0
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