Utility Company Cost Function               You work for a utility company that burns coal to generate electricity.  The cost C (in dollars) of removing p (percent, no need to change to a decimal) amount of the smokestack pollutants is given by: C=100,000p/100−p   3. Psychologists from your marketing department recommend exceeding the government mandate by 15% to improve public opinion of the company. What would the cost of meeting this requirement be?  Round to the nearest cent.   4. The CFO of your company has allocated $1,000,000 to reducing smokestack pollutants. What percent of the pollutants could you remove with this budget?  Round to the nearest tenth of a percent.   5. An environmentally conscious and influential politician in California is calling for the power industry to remove 100% of the pollutants from coal-based power plants. Your lobbyists want to know how to address this issue with politicians before things get out of hand.  How would you educate your lobbyists to respond to this politician?  You should include some math in your explanation, but be sure to explain what is going on.  It is important to describe the costs as the percentage gets very close to 100% as well as considering what happens if p = 100.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter24: Percent Practical Applications
Section: Chapter Questions
Problem 25A
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Utility Company Cost Function

              You work for a utility company that burns coal to generate electricity.  The cost C (in dollars) of removing p (percent, no need to change to a decimal) amount of the smokestack pollutants is given by:

C=100,000p/100−p

 

3. Psychologists from your marketing department recommend exceeding the government mandate by 15% to improve public opinion of the company. What would the cost of meeting this requirement be?  Round to the nearest cent.  

4. The CFO of your company has allocated $1,000,000 to reducing smokestack pollutants. What percent of the pollutants could you remove with this budget?  Round to the nearest tenth of a percent.  

5. An environmentally conscious and influential politician in California is calling for the power industry to remove 100% of the pollutants from coal-based power plants. Your lobbyists want to know how to address this issue with politicians before things get out of hand.  How would you educate your lobbyists to respond to this politician?  You should include some math in your explanation, but be sure to explain what is going on.  It is important to describe the costs as the percentage gets very close to 100% as well as considering what happens if p = 100. 

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