Ann Chovies, owner of the Perfect Pasta Pizza Parlor, uses $20$ pounds of pepperoni each day in preparing pizzas. Order costs for pepperoni are $$10\mathrm{.}00$ per order, and carrying costs are $$0\mathrm{.}04$ per pound per day. Lead time for each order is $3$ days, and the pepperoni itself costs $$3\mathrm{.}00$ per pound. If she were to order $80$ pounds of pepperoni at a time, what would be the length of an order cycle