Ram Roy's firm has developed the following supply, demand, cost, and inventory data.
Period Regular Time Overtime Subcontract Demand Forecast
1 30 15 10 50
2 35 15 10 50
3 40 20 10 60
Initial Inventory 30 units
Regular-Time cost per unit $100
Overtime cost per unit $160
Subcontract cost per unit $250
Carrying cost per unit per month $6
Assume that the initial inventory has no holding cost in the first period and backorders are not permitted.
Allocating production capacity to meet demand at a minimum cost using the transportation method, the total cost is $ ????? (enter your response as a whole number).