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Management of a large construction site in Coomera, Queensland is concerned about the amount of time the company's trucks are idle, waiting to be unloaded.

Management of a large construction site in Coomera, Queensland is concerned about the amount of time the company's trucks are idle, waiting to be unloaded. Presently the site operates with 4 unloading bays, although the site has 5 unloading bays. The 5th bay was never operated because the management thought the cost of adding two additional employees required to operate the 5th baywould cost $60 per hour, while the estimated cost of idle truck in the premise is $40 per hour. As a new manager of the site you are interested to utilise the 5th bay but before utilising the 5th bay you need to determine whether it is worthy to use the 5th bay in terms of cost. The average arrival rate of trucks () is 3 trucks per hour (which is Poisson distributed) and the average unloading for each truck is 1 hour (unloading time is exponentially distributed). Justify your decision to utilise the 5th bay. Your comments.

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