A firm is considering replacing the existing industrial air conditioning unit. They will pick one of two units. The first, the AC$360,$ costs $$26,990\mathrm{.}00$ to install, $$5,101\mathrm{.}00$ to operate per year for $7$ years at which time it will be sold for $$6,897\mathrm{.}00.$ The second, RayCool $8,$ costs $$41,086\mathrm{.}00$ to install, $$2,139\mathrm{.}00$ to operate per year for $5$ years at which time it will be sold for $$8,907\mathrm{.}00.$ The firm's cost of capital is $5\mathrm{.}93\%.$ What is the equivalent annual cost of the RayCool$8?$ Assume that there are no taxes.