Problem 2: A router is able to process packets at an average rate of 1000 packets/sec, the average packet arrivals at the router is 500 packets/sec. Assume we can model the system with an M/M/1 model, what is the average time a packet has to wait in the system? If we want to reduce the waiting time in the system by half, what would be the processing speed of the router if only one router is required