Question

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

Period

Regular Time

Overtime

Subcontract

Demand Forecast

1

30

15

10

40

2

30

15

10

50

3

30

15

10

45

Initial inventory

20

units

Regular-time cost per unit

$100

Overtime cost per unit

$150

Subcontract cost per unit

$250

Carrying cost per unit per month

$4

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).

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Optimal Cost = 12790

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