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Ethanol blended with gasoline can be used to power a "flex-fueled" car
Ethanol blended with gasoline can be used to power a "flex-fueled" car. One particular blend that is gaining in popularity is E85, which is 85% ethanol and 15% gasoline. E85 is 80% cleaner burning than gasoline alone, and it reduces our dependency on foreign oil. But a flex-fueled car costs $900 more than a conventional gasoline-fueled car. Additionally, E85 fuel gets 10% less miles per gallon than a conventional automobile. Consider a 100% gasoline-fueled car that averages 25 miles per gallon. The E85-fueled car will average about 23 miles per gallon. If either car will be driven 58.000 miles before being traded in, how much will the E85 fuel have to cost (per gallon) to make the flex-fueled car as economically attractive as a conventional gasoline-fueled car? Gasoline costs $2.78 per gallon. Work this problem without considering the time value of money. The E85 fuel will have to cost $|7.9| per gallon. (Round to the nearest cent.)
Expert Solution
Answer:
Distance to be driven = 58000 miles
Gasoline mileage = 25 miles per gallon
Gallons of gasoline required = 58000 / 25 = 2320 gallon
Total cost of gasoline = 2320* price per gallon of gasoline = 2320*2.78 = $6449.6
Additional cost of flex fuel car = $900
So, total cost to be matched up by E85 fuel = 6449.6 – 900 = $5549.6
This cost has to be equated by E85 fuel to make flex fuel car to equally attractive.
E85 fuel mileage = 23 miles per gallon
Gallons of E85 required = 58000 / 23 = 2521.74
So, the price of E85 fuel per gallon = total cost to be met / Gallons of E85 required = 5549.6/2521.74
The price of E85 fuel per gallon = $2.2 per gallon.
Therefore, E85 fuel has to cost $2.2 per gallon to make it equally attractive at the range of 58000 miles travel.
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