linear programming and cover waiting lines

Project Description:

i need this asap in excel sheet, attached for your reference, please find the following:
complete linear programming and cover waiting lines. see e-lecture on queuing theory for details.
after reviewing the material on waiting lines try to solve the following problems and post answers on the discussion board.
q1. drivers arrive at the motor vehicle bureau with one server in a poisson fashion with mean 6/hr. the time required to serve them is exponential with mean 8 minutes. find: a. the expected queue length, b. the expected waiting time, c. the expected time in the system, d. the probability of the system being in state 2.
q2. solve problem # 1 if there are two servers.
q3. a company must decide upon the number of technical support _#_ persons to hire. historical data shows that on an average 7 users need technical help each hour (in a poisson fashion). the service time for providing technical support is exponential with mean 6 minutes. the users get paid about $50 per hour and the tech support people get paid $20 per hour.
a. should the company have one, two, or three technical support people?
b. an alternative has been suggested to give a helper to each technical support person at an additional cost of $15 per hour. the team of two people now can complete a service call in 4 minutes. how many tech support teams should we have?
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