8. A restaurant has three chefs. These three chefs work in parallel and the effective working times are 5 minutes per dish with a standard deviation of 1 minute. Once the dish is ready, one of the two waiters takes 2 minutes (effectively, with a standard deviation of 4 minutes) to place the dish on the table. Each waiter can only handle one dish at a time and needs to take a rest for exactly 9 minutes after every hour, indicating there is no variation of the resting times. Customers place orders at an average rate of 1 dish every 4 minutes. Assume Ca = 4. (15 points) a) Compute the average waiting time for the chefs (3) b) Calculate the average time it takes for a chef to finish preparing the dish (2) c) Compute the average time a dish has to wait for the waiter once it has been finished by the chef (6) d) What is the total processing time of a dish to be placed on the table? (3) e) Which one is the bottleneck, a chef, or a waiter? Justify your choice. (1) 8. A restaurant has three chefs. These three chefs work in parallel and the effective working times are 5 minutes per dish with a standard deviation of 1 minute. Once the dish is ready, one of the two waiters takes 2 minutes (effectively, with a standard deviation of 4 minutes) to place the dish on the table. Each waiter can only handle one dish at a time and needs to take a rest for exactly 9 minutes after every hour, indicating there is no variation of the resting times. Customers place orders at an average rate of 1 dish every 4 minutes. Assume Ca = 4. (15 points) a) Compute the average waiting time for the chefs (3) b) Calculate the average time it takes for a chef to finish preparing the dish (2) c) Compute the average time a dish has to wait for the waiter once it has been finished by the chef (6) d) What is the total processing time of a dish to be placed on the table? (3) e) Which one is the bottleneck, a chef, or a waiter? Justify your choice. (1)