At Chаirmаn Meоw’s Feline Spа and Relaxatiоn Centre, there is a pоpular self-serve Catnip Tea urn. Thirsty patrons arrive at the urn following a Poisson distribution at a rate of 4 patrons per minute. The time it takes each patron to pour its tea is exponentially distributed, with an average of 10 seconds per patron. (a) Which queuing model should Chairman Meow use to analyse this setup? Using this model, determine: • The expected number of patrons at the urn on average (both waiting and pouring). • The average time it takes a patron to get its tea. (b) Chairman Meow decides to install an automatic “Purr-fect Pour” vendor that dispenses a bowl of Catnip Tea in a constant time of exactly 10 seconds. Which queuing model applies to this new machine? Calculate the same two performance measures from part (a) under this new setup and briefly compare the results.