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) hosts b. Based on total system cost, what is the optimal number of servers needed to minimize total costs? [Select] hosts c. Rounded to the nearest dollar, what is total (system) cost at the optimal number of servers if the registration desk is open for an 8 hour day? [ Select] d. At the optimal number of servers, what is the average time a guest would spend waiting to register? [Select]