A company faces the aggregate planning problem shown in the table below. Cost of regular production is $8 per unit, the cost of producing the same unit on overtime is $15, the cost of subcontracting is $12 per unit, and the cost of carrying a unit in inventory from one month to the next is $6.

	August	September	October	November	December
Forecast	400	800	1200	700	500
Beginning Inventory	100
Regular Time
Overtime
Subcontracting
Ending Inventory

The labor contract at the plant prohibits both overtime and subcontracting output to exceed 400 units in any five month window. The plant capacity is 20 units per day produced using two shifts and the plant runs seven days a week. By policy, management wants to avoid stockouts and start the next year with an inventory level of 100 units. What is the optimal total cost of the aggregate plan developed for this scenario?