Sauer Food Company has decided to buy a new computer system with an expected life of three years. The cost is $$280,000.$ The company can borrow $$280,000$ for three years at $14$ percent annual interest or for one year at $12$ percent annual interest. Assume interest is paid in full at the end of each year. What if interest rates on the $12$ percent loan go up to $18$ percent in year $2$ and $21$ percent in year $3?$ What would be the total interest cost compared to the $14$ percent, three$-$year loan?