(15 points} Suppose that three technicians have responsibility to repair f machines. For each machine, the probability distribution of up time (machine is functioning} before breakdown is exponential with mean 3 hours. The repair time for an individual machine is exponentially distributed with a mean of 5 hours. Each individual technician can repair at most one machine at a time. Technicians carmot work on the same machine together. Write the balance equations for a continuoustime Markov chain that models this setting. Suppose that the system state is the number of machines that are n_ot functioning. You do not need to solve the equations. Briey explain your answers. Equation for state 1]: Equation for state 1: Equation for state 2: Equation for state 3: Equation for state 4