To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in EL Con Mall for the week. Previous experience indicates that, on average, 10 persons per hour request a test. Assume arrivals are Poisson distributed from an infinite population. Blood pressure measurements can be made a constant time of five minutes each. Assume the queue length can be infinite with the FCFS discipline. A) What average number in line can be expected?
B) What averagenumber of persons can be expecgted to be in the system?
C) What is the average amount of time that aperson can expect to spend in line?
D) On the average, how much time will it take to measure a person's blood pressure, including waiting time?
E) On weekends, the arrival rate can be expected to increase to over 12 per hour. What effect will this have on the number in the waiting linbe?

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers. firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?