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Because of new federal regulations on pollution, a chemical plant introduced a new, more expensive process...

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Advance Math

Because of new federal regulations on pollution, a chemicalplant introduced a new, more expensive process to supplement orreplace an older process used in the production of a particularchemical. The older process emitted 20grams of sulfur dioxide and40 grams of particulate matter into the atmosphere for each gallonof chemical produced. The new process emits 5grams of sulfurdioxide and 20 grams of particulate matter for each gallonproduced. The company makes a profit of 60 cents per gallon and 20cents per gallon on the old and new processes, respectively.
a) If the government allows the plant to emit no more than16,000 grams of sulfur dioxide and 30,000 grams of particulatematter daily, how many gallons of the chemical should be producedby each process to maximize daily profit? What is maximum dailyprofit?
b) Discuss the effect on the production schedule and themaximum profit if the government decides to restrict emissions ofsulfur dioxide to 11,500 grams daily and all other data remainunchanged.
c) Discuss the effect on the production schedule and themaximum profit if the government decides to restrict emissions ofsulfur dioxide to 7,200 grams daily and all other data remainunchanged.

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