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2) Management of the central train hub observes train arrivals and dispatching to optimize their costs. To cope with the fierce board meetings, the manager should justify his/her judgements with observations. The manager found that trains arrive at the hub according to a Poisson Process with the rate of lambda. For each train, there is a waiting cost of $Q per unit of time. Irrespective of the number of trains that the hub contains, the observations yield that they are dispatched at time T with a cost of $m per train. When the manager should allow the dispatch to optimize the cost per unit time? (30 pts] 2) Management of the central train hub observes train arrivals and dispatching to optimize their costs. To cope with the fierce board meetings, the manager should justify his/her judgements with observations. The manager found that trains arrive at the hub according to a Poisson Process with the rate of lambda. For each train, there is a waiting cost of $Q per unit of time. Irrespective of the number of trains that the hub contains, the observations yield that they are dispatched at time T with a cost of $m per train. When the manager should allow the dispatch to optimize the cost per unit time? (30 pts]