Debra King is opening a small flower shop that will focus primarily on delivery, though it will provide a small showroom for walk$-$in customers. A local florist is retiring and selling her small flower shop to Debra for $$228800.$ The shop has a remaining life of $20$ years. Debra expects to have incremental revenues of $$104000$ per year and pay approximately $60\%$ of revenues in operating costs. What is the payback period for Debra's flower shop?

$2\mathrm{.}20$ years

$5\mathrm{.}50$ years

$6\mathrm{.}33$ years

$3\mathrm{.}67$ years