A certain country is rapidly running out of telephone numbers. In large​ cities, telephone companies have introduced new area codes as numbers are used up. A telephone number consists of a​ three-digit area code followed by a 5​-digit number. Complete parts​ (a) and​ (b). Until​ recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0 or 1 and the third digit could not be 2. How many area codes were possible with this​ arrangement? How many telephone numbers does the current 5​-digit sequence permit per area​ code? (The first three digitsfirst three digits that follow the area code cannot start with 0 or 1 or 2. Assume that there are no other​ restrictions.)

Galaxy Cloud Services operates several data centers across the United States containing servers that store and process the data on the Internet. Suppose that Galaxy Cloud Services currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York. Management is considering increasing the capacity of these data centers to keep up with increasing demand. Each data center contains servers that are dedicated to Secure data and to Super Secure data. The cost to update each data center and the resulting increase in server capacity for each type of server are as follows: The projected needs are for a total increase in capacity of 90 Secure servers and 90 Super Secure servers. Management wants to determine which data centers to update to meet projected needs and, at the same time, minimize the total cost of the added capacity. Formulate a binary integer programming model that could be used to determine the optimal solution to the capacity increase question facing management. Solve the model formulated in part (a) to provide a recommendation for management.

Please see image to solve for all parts of question displayed.

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You can use Excel functions to find the answers for the following question (round off the values to 4 decimal places): Supplier on-time delivery performance is critical to enabling the buyer’s organization to meet its customer service commitments. Therefore, monitoring supplier delivery times is critical. Based on a great deal of historical data, a manufacturer of personal computers finds for one of its just-in-time suppliers that the delivery times are random and well approximated by the Normal distribution with mean 51.7 minutes and standard deviation 9.5 minutes. (15p)   a. What is the probability that a particular delivery will exceed one hour?    b. What is the probability that a particular delivery arrives in less than one hour?   c. What is the probability that the mean time of 5 deliveries will exceed one hour?

nteract Systems, Inc. has developed software tools that help hotel chains solve application integration problems.  Interact’s Application Integration Server (AIS) provides a two-way interface between central reservations systems (CRS) and property management systems (PMS).  At least two important trends in the hotel industry are relevant.  First, hotels are shifting away from the manual booking of room reservations and electronic bookings will continue to increase as more bookings are made over the Internet.  Second, competitive pressures are forcing hotels to implement yield management programs and to increase customer service.  By integrating the CRS and PMS through Interact’s AIS, inventories can be better managed, yields improved, and customer service enhanced. All reservation traffic is routed from the CRS to individual hotel properties.  This allows Interact Systems to create a database that can be used to track customers and to facilitate marketing programs, such as frequent…

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