Tesla uses a perpetual inventory system to make inventory decisions about a replacement part for a Model X$.$ Annual demand has been forecast to be $2,200$ units and the business operates $300$ days per year. The standard deviation of daily demand has been forecast to be $15$ units. The order lead time is $4$ days. Tesla pays $$7$ to hold a unit for a year and $$500$ to place an order. Tesla's target service level is $98\%.$

What is Tesla's total annual inventory cost? $($Hint: include the carrying costs for safety stock; provide your answer in two decimal points.$)$