A company uses a continuous review method to manage its inventory. A product has an annual demand of $14,400,$ the company operates $360$ days a year. The purchase price is $$50,$ the holding cost is determined to be $18\%$ of cost$.$ Ordering cost is $$295,25.$

$1-$ A manager orders $1800$ units every time they place an order. Determine the annual holding cost, annual number of orders on average, annual ordering cost and total ccost of inventory management.

$2-$ What is the opitmal order quantity to minimize total cost? Find total cost with the opital order quanitty and calculate the savings it generates.