You have been asked to analyze the queue for registrations for a popular MSOM seminar at a major national conference. Conference attendees arrive to register at the rate of 4 people every 12 minutes (Poisson distributed). It takes each host, any number of which can be hired directly through the conference at the cost of $15 per hour. It takes 8 minutes to register a guest, following a (negative exponential distribution). The conference recognizes a waiting cost of $45 per hour per guest in line.

A single waiting line is set up, but can accommodate multiple servers.

a. What is the minimum number of hosts that could be hired for this system? [ Select ] ["4", "3", "1", "5", "2"] hosts

b. Based on total system cost, what is the optimal number of servers needed to minimize total costs? [ Select ] ["4", "1", "3", "2", "5"] hosts

c. Rounded to the nearest dollar, what is the total cost at the optimal number of servers if the registration desk is open for an 8 hour day? [ Select ] ["$1,125.56", "$203.31", "$1,712.46", "$214.06", "$666.5"]

d. At the optimal number of servers, what is the average time a guest would spend waiting to register? [ Select ] ["8.12 minutes", "22.36 minutes", ".019 minutes", "1.11 minutes", ".55 minutes"]