Consider an M/M/k queue (i.e, a queue with k servers) with arrival rate and service rate . Let F denote the steady-state distribution of the waiting time in the queue, that is, the distribution of the waiting time experienced by a customer who arrives after the system has been in operation for a long time. For every arriving customer, the firm incurs a waiting cost which is a function of how long that customer waits. Let g denote this function; that is, a customer who waits x time units imposes a cost of g(x) on the firm. Find the long run average rate at which the firm incurs waiting costs. Consider an M/M/k queue (i.e, a queue with k servers) with arrival rate and service rate . Let F denote the steady-state distribution of the waiting time in the queue, that is, the distribution of the waiting time experienced by a customer who arrives after the system has been in operation for a long time. For every arriving customer, the firm incurs a waiting cost which is a function of how long that customer waits. Let g denote this function; that is, a customer who waits x time units imposes a cost of g(x) on the firm. Find the long run average rate at which the firm incurs waiting costs