Problem 5: Delay Model You have a printer that stores the arriving jobs with unlimited virtual memory before transmitting them one by one. You are given a job arrival rate of A, a cost per job (for memory allocated per job) of ram, and a cost per unit printing speed n.1,. Now we model the steady state number of jobs in the system as an M/M/l/oo/FIFO queue and let the service time i correspond to time to process a single job using a unit printing speed. If n is the speed up factor for the printing speed, then the service rate for the queue is 7m. Find the speed up factor that minimizes the mean total cost. This is the cost of purchasing the speed, i.e. rem, plus the cost of memory for the steady state average of the total number of jobs in the system. Give an explicit formula in terms of A, a, ram, ssh