$[$Ch $10]$ A janitorial services firm is considering two brands of industrial vacuum cleaners to equip their staff:

Option $x$ will cost $$$20,000,$ require servicing of $$1,000$ per year, and it will last $5$ years.

Option $Y$ will cost $$21,000,$ require servicing of $$$1,400$ per year, and it will last $7$ years.

If the cost of capital is $7\mathrm{.}20,$ how much does the firm save per year $($in today's dollars$)$ by purchasing the vacuum that is the better value compared to the vacuum that is the worse value?

$($to nearest $$0\mathrm{.}01)$