Answer:
So, the European made car must be driven at least 266666.67 kilo metres in order for both the cars to have same total cost and the European car should be driven more than 266666.67 kilo metres in order for it to have a lower total cost and provide an advantage over the american made.
Explanation:
To calculate the number of miles needed for the lower fuel consumption car to have the same cost as of the higher fuel consumption cost, we need to equate the cost equation of both the cars.
We need to convert the gallons into litres and miles into kilo metres. 1 gallon contains 3.785 litres and 1 mile contains 1.609 kilo metre. So, mileage of first car in kilo metre per Litre is,
Mileage American made = (28 * 1.609) / 3.785
Mileage American made = 11.90 kilo metre per litres
Gas cost per Litres = 3.25 / 3.785
Gas cost per Litres = $0.8586 rounded off to $0.86 per Litres
Gas cost per kilo metre - American Made = 0.86 / 11.90 = $0.072 per km
Gas cost per kilo metre - European Made = 0.86 / 19 = $0.045 per km
The total cost equation (purchase price + fuel cost) of first car which is American made is,
Let x be the number of kilo metres where both cars total costs are equal.
Total cost = 28500 + 0.072x
The total cost equation (purchase price + fuel cost) of first car which is European made is,
Let x be the number of kilo metres where both cars total costs are equal.
Total cost = 35700 + 0.045x
28500 + 0.072x = 35700 + 0.045x
0.072x - 0.045x = 35700 - 28500
0.027x = 7200
x = 7200 / 0.027
x = 266666.67 kilo metres
So, the European made car must be driven at least 266666.67 kilo metres in order for both the cars to have same total cost and the European car should be driven more than 266666.67 kilo metres in order for it to have a lower total cost and provide an advantage over the american made.
