Consider the following situation, which involves two options. Determine which option is less expensive. Are there unstated factors that might affect your decision?

You currently drive $350$ miles per week in a car that gets $15$ miles per gallon of gas. You are considering buying a new fuel$-$efficient car for $$14,000($after trade$-$in on your current car$)$ that gets $54$ miles per gallon. Insurance premiums for the new and old car are $$900$ and $$400$ per year, respectively. You anticipate spending $$1200$ per year on repairs for the old car and having no repairs on the new car. Assume gas costs $$3\mathrm{.}50$ per gallon. Over a five$-$year period, is it less expensive to keep your old car or buy the new car? Assume that there are $52$ weeks in a year.

Over a five$-$year period, the cost of the old car is $ $$ and the cost of the new car is $ $$ Thus, over a five$-$year period, it is less expensive to $($Round to the nearest dollar as needed.$)$