A Dover, Delaware, plant has developed the accompanying supply, demand, cost, and inventory data. The firm has a constant workforce and meets all its demand. Allocate production capacity to satisfy demand at a minimum cost. What is the cost of this plan?

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Supply Capacity Available (units) PERIOD REGULAR TIME OVERTIME SUBCONTRACT 1 300 50 200 2 400 50 200 3 450 50 200 Demand Forecast DEMAND (UNITS) PERIOD 1 450 23 2 550 750 Other data Initial inventory Regular-time cost per unit Overtime cost per unit Subcontract cost per unit Carrying cost per unit per period Back order cost per unit per period 50 units $50 $65 $80 $ 1 $ 4