RamRoy's firm has developed the followingsupply, demand,cost, and inventory data.

Supply Available

Period Regular Time Overtime Subcontract Demand Forecast

1 30 15 15 50

2 35 15 15 55

3 30 15 15 45

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 transportationmethod, the total cost is $