A closed batch system containing $20$ users consists of two queues in parallel. The service time of both queues is $1\mathrm{.}0$ seconds. A user has equal chance of getting assigned to either queue. Users don't have think time. a$)$ Use MVA to obtain the system throughput b$)$ The system operator wishes to improve throughput dramatically. However she has enough budget to upgrade only one of the resources. Accordingly, the service times of one of the queues is dropped to $0\mathrm{.}5$ seconds. Other details about the system remain the same. By how much does the throughput improve with this upgrade? Provide rationale for what you are observing. c$)$ What else can you do to improve throughput without asking for a higher budget or limiting the number of users in the system?