Phillip Flamm's Computer Store in Texas sells a printer for $$220.$ Demand is constant during the year, and annual demand is forecasted to be $540$ units. Holding cost is $$40$ per unit per year, whereas

the cost of ordering is $$75$ per order. Currently, the company is ordering $12$ times per year $(45$ units each time$).$ There are $250$ working days per year, and the lead time is $12$ days.

a$)$ Given the current policy of ordering $45$ units at a time, the total of the annual ordering cost and the annual holding cost is $$1800($round your response to the nearest whole number$).$

b$)$ If the company used the absolute best inventory policy, the total of ordering and holding cost is $$,($round your response to the nearest whole number$).$