The Super Discount store $($open $24$ hours a day, every day$)$ sells $8-$packs of paper towels, at the rate of approximately $480$ packs per week. Because the towels are so bulky, the annual cost to carry them in inventory is estimated at $$\mathrm{.}50.$ The cost to place an order for more is $$22$ and it takes four days for an order to arrive.

a$)$ Calculate the Economic Order Quantity $(5$ pts$)$ $$1,482\mathrm{.}05$

b$)$ Calculate the total annual holding cost pts