Custom Computers Inc. assembles custom home computer systems. The heat sinks needed are bought for $$12$ each and are ordered in quantities of $1,270$ units. Annual demand is $5,080$ heat sinks$,$ the annual inventory holding cost rate is $$4$ per unit, and the cost to place an order is estimated to be $$50.$

Custom Computers is considering a new ordering policy. The new order quantity would be $980$ heat sinks$.$

Calculate the following for new order quantity. $($a$)$ Average inventory level $\_\_\_\_\_$ units. $($b$)$ The number of orders placed per year $\_\_\_\_\_$ orders $($round answer to $2$ decimal places$)($c$)$ The total annual inventory holding cost $ $\_\_\_\_\_\_($d$)$ The total annual ordering cost $ $\_\_\_\_\_\_($round answer to $2$ decimal places$)($e$)$ The total annual cost $($not including the cost of the sinks$)$ $ $\_\_\_\_\_($Round your answer to $2$ decimal places$)$