2. (10 points) Consider a process with an upper spec limit of 14.5 lbs, a lower spec limit of 10.5 lbs, and a mean of 12 lbs. a. If the standard deviation is 0.25 lbs, is the process "capable"? b. If the standard deviation is 0.75 lbs, is the process "capable"? c. Briefly explain, what a process being "capable" implies. 3. (15 points) The main processes at an automobile repair center are shown below. The vehicle scheduling operation occurs separately from, and simultaneously with, parts-ordering and parts-receiving, which are independent and sequential operations. A car needs to go through only one of the three parallel detailing operations. I car per day 5 ears per day 10 cars per day Pusondered Parts Rech 2 cars per day 11! 1 car per day 3 cars per day Detail Damatid 12 cars per day Velice chatted for ropa 1 car per day Sun a. Identify the bottleneck operation(s) in the process. b. What is the output rate of the overall system? c. What is the throughput time of the overall system? d. The repair center operates 12 hours a day, 365 days a month. What is the facility's annual capacity