$2(50$ pts$)$ Piddling Manufacturing assembles security systems. It purchases $3,600$ high$-$definition security$$cameras a year at $$180$ each. Ordering costs are $$50/$order$,$ and holding costs per unit are $20$ percent of$$the purchase price. They operate $300$ days a year, and the lead time to receive an order from its upstream$$supplier is three working days.$($a$)(10$pts$)$ What is the Economic Order Quantity $($EOQ$)?($b$)(20$pts$)$ Find the total annual costs if the EOQ quantity is ordered $($explicitly write down the formula.$)($c$)(5$pts$)$ How many orders per year are expected?$($d$)(5$pts$)$ What is the expected time between orders?$($e$)(10$pts$)$ What is the reorder point?