A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 14 customers per hour and an average service rate of 20 customers per hour. What is the probability that a customer waits 4 minutes or more in the line? a. 0.5308 b. 0.3 c. 0.4692 d. 0.7 Consider the following set of constraints (Maixmization problem): 37X+ 74Y>= 24, and 111X+ 37Y >= 12. The following is true for this problem: a. Unbounded problem. O b. X = 0, Y = 37 is the only optimal solution. c. X=37, Y=-6 is the only optimal solution. d. Infeasible problem. During the early morning hours, customers arrive at a branch post office at an average rate of 51 per hour (Poisson), while clerks can provide services at a rate of 17 per hour. If clerk cost is $15.3 per hour and customer waiting time represents a cost of $15 per hour, how many clerks can be justified on a cost basis a. 5 b. 8 c. 6 d. 7 e. 4 Consider the following set of constraints: -4X = 3280, and 2X + 2y