In: Operations Management
Ram? Roy's firm has developed the following? supply, demand,? cost, and inventory data.
| 
 Supply Available  | 
||||
| 
 Period  | 
 Regular Time  | 
 Overtime  | 
 Subcontract  | 
 Demand Forecast  | 
| 
 1  | 
 30  | 
 15  | 
 5  | 
 50  | 
| 
 2  | 
 35  | 
 15  | 
 5  | 
 50  | 
| 
 3  | 
 40  | 
 20  | 
 5  | 
 60  | 
| 
 Initial inventory  | 
 30 units  | 
| 
 Regular-time cost per unit  | 
 $100  | 
| 
 Overtime cost per unit  | 
 $150  | 
| 
 Subcontract cost per unit  | 
 $250  | 
| 
 Carrying cost per unit per month  | 
 $44  | 
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 $ _____?