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There are three warehouses. Warehouse A has annual pick-lines (M) as 2.00 with labor (hours103 ) as 300 and capital ($M) as 10.00; Warehouse B

There are three warehouses. Warehouse A has annual pick-lines (M) as 2.00 with labor (hours103 ) as 300 and capital ($M) as 10.00; Warehouse B has annual pick-lines (M) as 3.00 with labor (hours103 ) as 3 and capital ($M) as 3 ; and Warehouse C has annual pick-lines (M) as 6.00 with labor (hours103 ) as 900m and capital ($M) as 3n . Suppose the assumptions:

Constant Returns to Scale, and

Convex combination of two warehouses is realizable as another warehouse.

And suppose that it is not possible to say whether the scaled version of Warehouse B or C is more efficient than Warehouse A, or not. The synthetic warehouse blended from scaled versions of Warehouses B and C has the same efficiency with Warehouse A. If n is integer, please calculate the value of m .

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