After graduating from NC State, you take a job at Augusta General Hospital. Dr. , Chief Medical Officer, has brought you in to help with a problem. hE is trying to determine how many Magnetic Resonance Imaging (MRI) scanners are needed in the emergency care facility.

MRI scanners are highly sophisticated pieces of equipment that uses magnets, radio waves and computer technology to produce images, and are particularly good at pinpointing problems not easily diagnosed using X-rays or other techniques.

The annual fixed cost for a scanner is approximately $145,000, while the variable cost is $162 per procedure. Augusta has enough room for one to three scanners, all of which could be handled by a single technical staff (fixed costs = $320,000 per year). Data from other hospitals suggest that it takes about 35 minutes for a patient to be scanned, although the actual time can vary.

According to Dr.

As you know, we are the biggest hospital in our region, and our emergency room runs 24-7. Id say we have about 30 patients arrive throughout the day who really need an MRI. But scanners are expensive, and I really dont know where to begin making the case for one scanner, much less two or three scanners. I was reading The New England Journal of Medicine, and I found this interesting graph. Obviously, quicker is better! I dont know if you can use it, but its something to think about.

Instructions

1. Provide an analysis of the problem. You may use any materials you want to perform the analysis. If you need to make any critical assumptions, clearly state what they are. Likewise, feel free to identify any additional information that might significantly improve the analysis.

NEED TO SOLVE MULTI SERVER QUEING

IMPORTANT: The formulas are only valid if the cumulative service rate exceeds the arrival rate (c*m > l)
	Number of servers (c)	Probability of zero customers in the system (P0)	Average number of customers in system (Cs)	Average number of customers in line (Cw)	Average time in system (Ts)	Average time in line (Tw)