$2.$ Given the following data

Quarter Demand Previous quarter's output $2500$ units

$12500$ Beginning inventory $400$ units

$22400$ Stockout $($backorder$)$ cost $$50$ per unit

$32200$ Inventory holding cost $$15$ per unit at the end of the quarter

$42100$ Hiring workers $$5$ per unit

Laying off workers $$10$ per unit

Unit cost $$35$ per unit

Overtime $$15$ extra per unit

What is the total cost of pursuing a level aggregate plan over the coming year?