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UP Fitness will install 3new "trapezoidal gel-resistance toners" ("trappy" for short), the latest exercise gadget, specifically designed to contour upper back muscles. Clients who want to use these machines arrive at the rate of 65 per hour. The coefficient of variation of the inter-arrival times is 3. If all three machines are busy, UP Fitness clients sign up the waiting list, and use other exercise equipment, waiting for the next available trappy. The trappy experience is intense -on average 150seconds of explosive exercise intensity. The standard deviation of the usage times is quite small -only 30 seconds.
A) What is the service rate of each trappy machine?
B) What is the utilization of each trappy machine?
C) On average, how many UP Fitness clients are using a trappy?
D) On average, how long does a UP Fitness client need to wait before using a trappy?
E) On average, how many UP Fitness clients are in the system (i.e., waiting in line or using a trappy)?
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