(a) Determine how much each gallon of gas sold should be taxed to achieve the revenue target (b) Determine what the annual flat tax for each electric vehicle should be to raise the appropriate revenue target;  (c) If the state decides to raise the required revenue based on a tax per mile driven, determine what this tax rate would be. Make sure you show all the steps of your analysis.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.FOM: Focus On Modeling: Linear Programming
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(ii) A state predicts that it will need $2.15 billion for construction of new roads and maintenance of existing roads in year 2025. It is forecast that 1.5 percent of the vehicle-fleet in that year will be electric vehicles with the remaining being gas powered vehicles. The population of the state is forecast to be 10 million persons in 2025 with the average number of vehicles owned per person being 0.75. It is projected that on average each vehicle will be driven 12,000 miles per year, with gas powered vehicles achieving an average gas consumption of 25 miles per gallon (mpg). If the state plans to raise 99 percent of the required revenue from gas powered vehicles and the remainder from electric vehicles, (a) Determine how much each gallon of gas sold should be taxed to achieve the revenue target

(b) Determine what the annual flat tax for each electric vehicle should be to raise the appropriate revenue target;

 (c) If the state decides to raise the required revenue based on a tax per mile driven, determine what this tax rate would be. Make sure you show all the steps of your analysis. 

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