The annual requirement of a part is $360,000$ units. The order cost is $$120$ per order, the holding rate is $12$ percent and the part cost is $$2,500$ per unit. What are the $($a$)$ EOQ, $($b$)$ annual holding cost, $($c$)$ annual order cost, and $($d$)$ annual total inventory cost? Also If the company decided to order at a lot size of $2,800$ units instead of the EOQ quantity, what is the annual holding cost? If the company decided to order at a lot size of $2,800$ units instead of the EOQ quantity, what is the annual order cost $($round to two decimal places$)?$ If the company decided to order at a lot size of $2,800$ units instead of the EOQ quantity, what is the total annual inventory cost $($round to two decimal place$)?$