Question: Suppose Generic runs a loading dock at which its trucks load up goods that are then delivered to various locations. There are two men who

Suppose Generic runs a loading dock at which its
Suppose Generic runs a loading dock at which its trucks load up goods that are then delivered to various locations. There are two men who make up the loading team. Operating the loading dock with this team costs Generic S50/hour. To keep a truck waiting at the dock area costs money too: an hour's wait for the driver (and truck) costs $90. The two-man team can load a truck in the average time of 40 minutes. On the average, 1.1 trucks per hour arrive at the dock for loading, Generic is considering two alternatives. One is adding a third man to the loading team. The hourly cost of the three-man team would be $70. This team, however, would be able to load trucks in 30 minutes, on the average. The other alternative is to hire two additional men who would comprise a second team. Now each of the two teams can load a truck in 40 minutes, and each team costs Generic $50/hour. (a.) For each of the three scenarios, what are the values of . and , and how many servers are there? (b.) Now use the queueing template. In each of the three scenarios, what is the average number of trucks present at the loading dock? (Show the symbol for this as well.) (c.) For each of the three scenarios, what are the average total costs that are generated? Which scenario is the overall least expensive one

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