an aerodynamic three wheeled automobile (the dart) runs on a compressed natural

Question

an aerodynamic three wheeled automobile (the dart) runs on a compressed natural gas stored in two cylinders in the rear of the vehicle. the 13,000 dart can cruise at speeds up to 70 miles per hour and it can travel 105 miles per gallon of fuel. another two seater automobile costs 12000 and average 5t miles per gallon of compressed natural gas. if girl costs $8.50 per gallon and Marr is 12% per year , over what range of annual miles driven is the dart more economical? assume a useful life of four years for both cars.

Explanation / Answer

Let X = miles driven per year EUAC Dart = $13000(A/P, 12%, 4) + (X/105 mpg)($8.50/gal) EUAC Dart = $13000 x .3292 + (X/105 mpg)($8.50/gal) EUAC Dart = $4279.6 + .0809X EUAC Other = $12,000(A/P, 12%, 4) + (X/55 mpg)($8.50/gal) EUAC other = $12,000 x .3292 + (X/55 mpg)($8.50/gal) EUAC other = 3950.4 + .1545X EUAC Dart = EUAC other , we can solve for X $4279.6 + .0809X = $3950.4 + .1545X X = 4473.25 miles per year If you are planning on driving 5,000 miles or more per year, the Dart is the most economical vehicle

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