1. The Sylva Burger Doodle has one drive through window. Customers arrive at the rate of 10 per hour (Poisson distribution). It takes an average of four minutes (exponentially distributed) to fill an order. The chain has a goal of an average 3 minutes waiting time.
   1. Does the Sylva store meet the chains goal? Why or why not?
   2. If the store does not meet its goal, it can add a second window that will reduce service time to 2.5 minutes. Does this enable the store to meet the goal? Why or why not?
   3. During the 2 hour lunch rush, the arrival rate increases to an average of 20 per hour. Assuming the store keeps the second window, will the store be able to meet the goal during the lunch rush? Why or why not?

2. A WCU Entrepreneurship major is starting a house painting business. Based on responses to local advertising and to informal surveys, she anticipates getting four painting jobs per week (Poisson distributed). She has estimated it will take a 4-person team 0.7 weeks to compete a typical job (exponentially distributed).
   1. Determine the number of teams needed if the goal is to have customers wait no more than 2 weeks to have their house painted.
   2. If the average price for a painting job is $6,800 and the painters each make $500/week, will she make any money? If so, how much? Show how you arrived at the answer.