2. A manager is attempting to put together an aggregate plan for the coming nine months. She has obtained a forecast of expected demand for the planning horizon. The department has 20 full time employees each of whom produces 10 units of output per period at a cost of $6 per unit. Beginning inventory of period 1 is zero. Inventory carrying cost is $5 per unit per period and backlog cost is $10 per unit per period.

Period	1	2	3	4	5	6	7	8	9
Forecast	190	230	260	280	210	170	160	260	180

Determine the total cost of the plan, including production, inventory and backorder costs.