Question: A large automobile manufacturer has developed a continuous variable transmission (CVT) that provides smooth shifting and enhances fuel efficiency by 2 mpg of gasoline. The extra cost of a CVT is $800 on the sticker price of a new car.
For a particular model averaging 28 miles per gallon with the CVT, what is the cost of gasoline (dollars per gallon) that makes this option affordable when the buyer's interest rate is 10% per year? The car will be driven 100,000 miles uniformly over an eight-year period.