$4.$ Osprey Machine Works has the following demand requirements and other data for the upcoming four quarters. Quarter Demand Previous quarter's output $2500$ units $12300$ Beginning inventory $200$ units $22400$ Stockout $($backorder$)$ cost $$50$ per unit $32600$ Inventory holding cost $$10$ per unit at end of quarter $142100$ Hiring workers $$4$ per unit Laying off workers $$8$ per unit What is the total cost of pursuing a level aggregate plan over the coming year? AN