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I need help on part a, b, c of this question. Please help me by show working and explanation at how you arrived at the answer. Thank you!

2. Northern Coffee follows the flow chart below to serve its customers. Note that some triangles may be omitted intentionally. It takes a worker one minute to take order and receive payment, two minutes to prepare coffee, and three minutes to clean the equipment. Take order and receive payment Clean equipment Prepare coffee Northern Coffee has three workers: worker A takes order and receives payment, worker B prepares coffee, and worker C handles the cleaning. On average, 25 customers per hour show up and order coffee. (a) How many customers can Northern Coffee serve per hour? (b) What is the flow rate of the process? (c) What is the utilization rate of worker A?

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The bottleneck process is Clean equipment as it takes 3 minutes The output per hour for each worker is 60/Activity time Worker A- 0/1 60 per hour Worker B-60/2 30 per hour Worker C 60/3 20 per hour a) number of customers can be served can be calculated as shown below: 60minutes per hour Cycle time 60 20 per hour b) Flow rate of the process is Capacity of bottle neck capacity-20 customers per hour. c) Utilization of worker A is as follows: Worker A time Cycle time -0.33 or 33%

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