ram roy’s firm has developed the following supply, demand, cost, and inventory data.

Ram​ Roy’s firm has developed the following​ supply, demand,​ cost, and inventory data.

Supply Available

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Period Regular Time Overtime Subcontract Demand Forecast

1 40 15 10 50

2 35 15 10 65

3 40 15 10 55

Initial inventory 30


​Regular-time cost per unit ​$100
Overtime cost per unit ​$160
Subcontract cost per unit ​$200
Carrying cost per unit per month

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


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