Hollister makes bicycles to order. The manufacturing process is as follow: First, Greg checks the order for consistency and prepares instructions for the subsequent operations. When the process operates at capacity, Greg's utilization is 40%. Once Greg is done, the order moves to both Amit and Lance who can work on their respective tasks in parallel. Amit picks the correct frame from inventory and spray paints the frame. When the process operates at capacity, Amit's utilization is 100%. When the frame is ready, Amit passes it on to final assembly and testing (FAT). Lance is in charge of wheel building and brake sub assembly. Lance selects and mounts tires and disk brake rotors on the wheels to order based on the customer's weight. When the process operates at capacity, he is busy 60% of the time. Once the wheels are ready, Lance passes them on to Anna whose tasks include assembling the shock absorbers and testing them together with the wheels on special equipment. Anna requires 20 minutes for these tasks and her utilization is 50% when the process operates at capacity. When done Anna passes the tested wheels and shocks on to the FAT. At final assembly and test, there are four equally competent workers, Britney, Tiffany, Avery and Bob. When the frame, wheels, and shocks for a customer order are all complete, one of these four workers takes these components and assembles them with other parts (handle bar, saddle, etc.) into the finished bike. (That is, only one employee works on a given bike at FAT.) When the process operates at capacity, the FAT resource pool's utilization is 80 %.
a) What is the theoretical capacity of the bike production process in bikes per hour?
b) What are the activity times for all the activities of the bike production process? (in minutes/bike)
c) What is the theoretical flow time for a bike?