The following is a Petri Net (PN) model of a railroad system. For the following questions, you are asked to give brief justifications with your answers. (A simple yes/no answer is not enough to earn points.) Sectors2-3Combined Capacity Sector1 Tracks Capacity TO Sector 1 T6 e. Sector 6 1 Maint Facility T5 1 Sector 2 Maint Capacity 1 Sector 5 T5 12 T4 Sestors4-5CombinedCapacity T6 1 (a) Fill in the entries in the following two rows of the Incidence matrix of the above PN. Sector 3 1 Sector 4 Capacity Maint Facility Sector 6 (b) You are asked to analyze the PN system in a variety of ways: a. Is it Reversible? Explain, why or why not. b. Is it Deadlock-able? Give the sequence of transitions to deadlock if it is. Are there transitions in conflict? Identify only two such transitions, if any. T7 T3 C. d. Is it Bounded? Identify at least one place that is unbounded if the system is unbounded. Explain why this place is unbounded, if any. Is it Live? Explain.