Consider a queueing network below. Suppose that the service rate of each server in stations 1, 2, 3 are 1=3, 2 = 5, and 3 = 3, respectively.

Consider a queueing network below. Suppose that the service rate of each server in stations 1,2,3 are 1=3,2=5, and 3=3, respectively. (a) Determine the minimum number of servers at each station. (b) (Queueing Theory) Calculate 1,Lq1,L1,Wq1, and Wq if the minimum number of servers are used. Repeat this for station 2, station 3, and the entire system. (c) (Arena Model) Create an Arena model for this network. Use the minimum number of servers at each station found in part a. Use the simulation run length that can be enough to find steady state results. Make 30 replications and find the average and standard deviation for each measure mentioned in part (b). Turn in your Arena file