(a) Customers arrive at a self-service cafeteria. Some of them go to the sandwich counter, where one worker makes sandwiches for them. The rest go to the main counter, where one server spoons the prepared meal onto plates. All customers must pay a single cashier, and then eat in the (unlimited capacity) dining hall of the cafeteria. After eating, the customers leave the cafeteria. Every counter (sandwich, main and cashier) has its own First-In-First-Out queue with unlimited queue length for customers. Define the system state at time t as [S(t), M(t), C(t), H(t)], where S(t) = number of customers at the sandwich counter and in its queue M(t) = number of customers at the main counter and in its queue C(t) = number of customers at the cashier and in its queue H (t) = number of customers in the dining hall Let [s, m, c, h] be the current state of the system. Define events and write the corresponding state transitions