A comapny uses a continuous review method to manage it's inventory. a product has an annual demand of $14,800,$ they operate the store $360$ days a year, the purchase price is $$60,$ holding cost is determined to be $20\%$ of cost$.$ Order cost is determined to be $$320.$

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

$2-$What is the optimal order quantity to minimize total cost? Find Total cost witht he optimal order quantity and calcuate the savings