Using concepts we covered, compare the following two systems: Consider two factories A and B. Factory A has installed a robot that takes exactly 10 minutes for every widget it manufactures. Instead of a robot, Factory B uses a human worker to manufacture the same type of widget. The workers manufacturing time is dictated by a random process as follows. The teller takes either exactly 5 minute or 15 minutes to manufacture a widget with equal likelihood (50% chance of each event). Assume that the pattern and rate of raw materials arriving to be converted to widgets into both factories are similar. (a) Which factory sees a higher capacity utilization (i.e. worker or robot)? (b) Which factory sees a higher in process inventory and why?