Consider the Jackson Network given in the figure below. There are three stations, each of which is an M/M/c system. The service rate of server in each station is given such that denotes the service rate of a server in station . Also, the numbers next to the arcs represent the probability of a customer choosing the arc. a) (0.5) Calculate the minimum number of servers needed in Station 1 for feasibility. b) (1.5 point) Calculate the arrival rate in station 2 and then calculate the minimum number of servers needed in Station 2 for feasibility. Show your calculations. c) (1.5 point) Calculate the arrival rate in station 3 and then calculate the minimum number of servers needed in Station 3 for feasibility. Show your calculations. d) (2 point) Using the key performance measures for each station from the templates, calculate the expected total number of customers in the network and expected amount of time a customer spends in the queue.