Ergonomics Incorporated sells ergonomically designed office chairs. The company has the following information:$$Average demand $=32$ units per day$$Average lead time $=46$ days Item unit cost $=$ $$66$ for orders of less than $360$ units$$Item unit cost $=$ $$64$ for orders of $360$ units or more$$Ordering cost $=$ $$41$Inventory carrying cost $=25\%$The business year is $250$ days.$$A$.$How many chairs should the firm order each time? Assume there is no uncertainty at all about the demand or the lead time.$$B$.$ What will the firm$$s average inventory be under each alternative?$$C$.$What will be the annual ordering and holding costs for each alternative?