3. Bubble tea machine in the local shop can be either working or broken on any given day. If it is working, it could break down by the end of the day with probability of 0.05 . If it breaks down the owner will spend the next day fixing it and will get the machine back in service on the following day (machine is out of service for 1 day). It will cost the owner $1,000/ day to close the shop and work on the machine. a. What is the expected cost of running the bubble tea machine per day? When fixing the broken machine, the owner is not always able to fix the machine in a single day. A more appropriate model is that the owner fixed the machine in one day with probability of 0.8 . If the machine is not fixed at the end of the day, the owner kept working to fix the machine the following day; the probability of getting the machine fixed on the following day is the same as on the first broken day. The owner will keep the store closed until the machine is fixed. b. What is the expected cost of running the bubble tea machine per day with this strategy? For the last strategy, the owner decided to replace the machine if it was not fixed after 2 days of attempting to fix it. A new machine at a cost of $25,000 is shipped overnight and be put into service the following morning. Assume that the new machine has the same probability of breaking down as a used machine regardless of days in service. c. What is the expected cost of running the bubble tea machine per day with this strategy