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Question 1 15 pts Consider 20 DS0 circuits that are

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Question 1 15 ptsConsider 20 DS0 circuits that are multiplexed onto 3 outgoing circuits. The mean arrival rate at each DS0 circuit is 1 call per hour during the busy hour; calls last, on average, 5 minutes. Assume Poisson arrivals, exponentially distributed call durations, and that customers that attempt a call when all circuits are busy are blocked (ignore call retry).The probability of blocked calls is. (Use 2 digits to the right of the decimal point.)Question 2 5 ptsCustomers arrive at a two-chair shoeshine stand at a rate of 10 customers per hour. The average length of a shoeshine is 5 minutes. There is only one attendant, so that one chair is used as a waiting position. Customers who find both chairs occupied go away. Assume Poisson arrivals and exponential service times.The queuing model that is appropriate here is .Question 3 5 ptsIn question 2, the probability that the waiting chair will be occupied is . (Use two digits to the right of the decimal point.)Question 4 10 ptsIn question 2, the mean number of customers served per hour is . (Use two digits to the right of the decimal point.)Question 5 10 ptsNow, let us modify question 2 by assuming there are 2 attendants at the stand. The mean number of customers serviced per hour is . (Use two digits to the right of the decimal point.)Question 6 10 ptsAn entrepreneur offers services that can be modeled as an s-server Erlang loss (Erlang-B) system. Suppose the arrival rate is 4 customers per hour; the average service time is 1 hour; the entrepreneur earns $ 2.50 for each customer served; and the entrepreneur’s operating cost is $1.00 per server per hour (whether the server is busy or idle).The optimal number of servers, from the entrepreneur's point of view is .Question 7 5 pts In question 6, if the entrepreneur deploys the optimal number of servers, he/she should expect to make a profit of $ per hour. (Use two digits to the right of the decimal point.)Question 8 10 pts In question 6, the maximum number of servers beyond which it is unprofitable for the entrepreneur to remain in business is .

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Hello, Customer posted the following: The homework is posted in the university web site. There is just boxes to type the response and a last question is to upload the steps you took to get to answers. To respond to the homework you need to use either a Erlang B (in most case) calculator, excel or the formula. I will upload the homework in word document and give you some steps the teacher gave us to start the home. The assignment is due by 7:00 PM EST today. Here is the link: http://wikisend.com/download/498596/Homework3.docx