Reference no: EM13621276

Three vendors have vegetable stands in a row. Customers arrive at the stands 1, 2, and 3 at rates 10, 8, and 6. A customer visiting stand 1 buys something and leaves with probability 1/2 or visits stand 2 with probability 1/2. A customer visiting stand 3 buys something and leaves with probability 7/10 or visits stand 2 with probability 3/10. A customer visiting stand 2 buys something and leaves with probability 4/10 or visits stands 1 or 3 with probability 3/10 each. Suppose that the service rates at the three stands are large enough so that a stationary distribution exists. At what rate do the three stands make sales. To check your answer note that since each entering customers buys exactly once the three rates must add up to 10 C 8 C 6 D 24.