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A simple managerial implication of the result follows: bS ði þ b þ hÞC ¼ bðS CÞ ði þ hÞC, wherebðS CÞ is the benefit received from a unit of inventory and ði þ hÞC is the cost due to a unit of inventory.Consequently, if bðS CÞ ði þ hÞCP0, then building inventory is profitable. Thus, we should displayinventory to maximum as possible as we can, and, in this case, the profit per unit time Pðt1; T Þ will reach toinfinite. It is impossible. Therefore, when bS ði þ b þ hÞCP0, we can not find a finite value of ðt1; T Þ,such that Pðt1; T Þ is maximum and finite
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