(2 points) A production system has three work-centers: CIRCLES, SQUARES, and FINISH. CIRCLES and SQUARES operate in parallel, producing circles and squares, respectively. They both feed FINISH. CIRCLES is fed externally at a rate of 20 parts per hour and has an average WIP of 120 parts. 15% of the parts exiting CIRCLES are defective and are sent back for rework in CIRCLES. SQUARES is fed CIRCLES 15% SQUARES 20% FINISH externally at a rate of 50 parts per hour has on average WIP of 450 parts. 20% of the parts (squares) exiting SQUARES are defective and are scrapped (thrown away). The average cycle time of a part in FINISH is 12 hours. a. What is the average number of parts in FINISH? b. What is the average cycle time in the system of a part exiting FINISH (regardless of whether it is a circle or a square)?