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NOTE: When I ask you to construct a CTMC, it means you should identify the (1) stochastic process, (2) time index, (3) state space, and (4) transition rate matrix G 1. Consider a workshop with two machines A and B and one repairperson. It takes on average 2 days to repair machine A, and 3 days to repair machine B. The mean time to failure of machine A is three months, whereas the mean time to failure of machine B is four months. All times are exponentially distributed. The repairs take place in the order of failures. a) Construct an appropriate CTMC to describe this system. Assume that all inter-event times are independent. b) The repairperson charges $100 per hour (pro-rated for the actual repair time). Based on this information, compute the total expected monthly cost of maintenance (assume one month = 30 days = 240 hours). After inserting their card into an ATM, there are three types of transactions that NOTE: When I ask you to construct a CTMC, it means you should identify the (1) stochastic process, (2) time index, (3) state space, and (4) transition rate matrix G 1. Consider a workshop with two machines A and B and one repairperson. It takes on average 2 days to repair machine A, and 3 days to repair machine B. The mean time to failure of machine A is three months, whereas the mean time to failure of machine B is four months. All times are exponentially distributed. The repairs take place in the order of failures. a) Construct an appropriate CTMC to describe this system. Assume that all inter-event times are independent. b) The repairperson charges $100 per hour (pro-rated for the actual repair time). Based on this information, compute the total expected monthly cost of maintenance (assume one month = 30 days = 240 hours). After inserting their card into an ATM, there are three types of transactions that